                          Spacegroup.data

  Ch. Brouder 4-dec-95

  This is list of all space groups, with all choice of axes
  and all origins as defined in the Handbook of Crystallography, Vol.A.
  For each space group, the first line gives the space group number,
  the Schoenfliess symbol, the Hermann-Mauguin symbol (short and long),
  and the Hall symbol (S.R. Hall; Space-Group Notation with an Explicit 
  Origin, Acta Cryst. (1981). A37, 517-525, or International Tables 
  Volume B 1994, Section 1.4. Symmetry in reciprocal space (Sydney R. Hall, 
  Crystallography Centre, University of Western Australia.
  syd@crystal.uwa.edu.au).
  This file was generated automatically using the space group analysis
  program "sginfo", written by Ralf W. Grosse-Kunstleve, Laboratory of 
  Crystallography, ETH Zurich, Switzerland (ralf@kristall.erdw.ethz.ch).
  In this list all space group operations are given except for the
  translations given by the lattice type (R,I,F)
  Group C-1 added by F. Farges.

*  1        C1^1          P1                           P 1
x,y,z

*  2:a      Ci^1          P-1                         -P 1
x,y,z
-x,-y,-z

*  2:b      Ci^1          C-1                         -C 1
x,y,z
-x,-y,-z
x+1/2,y+1/2,z
-x+1/2,-y+1/2,-z

*  3:b      C2^1          P2:b = P121                  P 2y
x,y,z
-x,y,-z

*  3:c      C2^1          P2:c = P112                  P 2
x,y,z
-x,-y,z

*  3:a      C2^1          P2:a = P211                  P 2x
x,y,z
x,-y,-z

*  4:b      C2^2          P21:b = P1211                P 2yb
x,y,z
-x,y+1/2,-z

*  4:c      C2^2          P21:c = P1121                P 2c
x,y,z
-x,-y,z+1/2

*  4:a      C2^2          P21:a = P2111                P 2xa
x,y,z
x+1/2,-y,-z

*  5:b1     C2^3          C2:b1 = C121                 C 2y
x,y,z
-x,y,-z

*  5:b2     C2^3          C2:b2 = A121                 A 2y
x,y,z
-x,y,-z

*  5:b3     C2^3          C2:b3 = I121                 I 2y
x,y,z
-x,y,-z

*  5:c1     C2^3          C2:c1 = A112                 A 2
x,y,z
-x,-y,z

*  5:c2     C2^3          C2:c2 = B112                 B 2
x,y,z
-x,-y,z

*  5:c3     C2^3          C2:c3 = I112                 I 2
x,y,z
-x,-y,z

*  5:a1     C2^3          C2:a1 = B211                 B 2x
x,y,z
x,-y,-z

*  5:a2     C2^3          C2:a2 = C211                 C 2x
x,y,z
x,-y,-z

*  5:a3     C2^3          C2:a3 = I211                 I 2x
x,y,z
x,-y,-z

*  6:b      Cs^1          Pm:b = P1m1                  P -2y
x,y,z
x,-y,z

*  6:c      Cs^1          Pm:c = P11m                  P -2
x,y,z
x,y,-z

*  6:a      Cs^1          Pm:a = Pm11                  P -2x
x,y,z
-x,y,z

*  7:b1     Cs^2          Pc:b1 = P1c1                 P -2yc
x,y,z
x,-y,z+1/2

*  7:b2     Cs^2          Pc:b2 = P1n1                 P -2yac
x,y,z
x+1/2,-y,z+1/2

*  7:b3     Cs^2          Pc:b3 = P1a1                 P -2ya
x,y,z
x+1/2,-y,z

*  7:c1     Cs^2          Pc:c1 = P11a                 P -2a
x,y,z
x+1/2,y,-z

*  7:c2     Cs^2          Pc:c2 = P11n                 P -2ab
x,y,z
x+1/2,y+1/2,-z

*  7:c3     Cs^2          Pc:c3 = P11b                 P -2b
x,y,z
x,y+1/2,-z

*  7:a1     Cs^2          Pc:a1 = Pb11                 P -2xb
x,y,z
-x,y+1/2,z

*  7:a2     Cs^2          Pc:a2 = Pn11                 P -2xbc
x,y,z
-x,y+1/2,z+1/2

*  7:a3     Cs^2          Pc:a3 = Pc11                 P -2xc
x,y,z
-x,y,z+1/2

*  8:b1     Cs^3          Cm:b1 = C1m1                 C -2y
x,y,z
x,-y,z

*  8:b2     Cs^3          Cm:b2 = A1m1                 A -2y
x,y,z
x,-y,z

*  8:b3     Cs^3          Cm:b3 = I1m1                 I -2y
x,y,z
x,-y,z

*  8:c1     Cs^3          Cm:c1 = A11m                 A -2
x,y,z
x,y,-z

*  8:c2     Cs^3          Cm:c2 = B11m                 B -2
x,y,z
x,y,-z

*  8:c3     Cs^3          Cm:c3 = I11m                 I -2
x,y,z
x,y,-z

*  8:a1     Cs^3          Cm:a1 = Bm11                 B -2x
x,y,z
-x,y,z

*  8:a2     Cs^3          Cm:a2 = Cm11                 C -2x
x,y,z
-x,y,z

*  8:a3     Cs^3          Cm:a3 = Im11                 I -2x
x,y,z
-x,y,z

*  9:b1     Cs^4          Cc:b1 = C1c1                 C -2yc
x,y,z
x,-y,z+1/2

*  9:b2     Cs^4          Cc:b2 = A1n1                 A -2yac
x,y,z
x+1/2,-y,z+1/2

*  9:b3     Cs^4          Cc:b3 = I1a1                 I -2ya
x,y,z
x+1/2,-y,z

*  9:-b1    Cs^4          Cc:-b1 = A1a1                A -2ya
x,y,z
x+1/2,-y,z

*  9:-b2    Cs^4          Cc:-b2 = C1n1                C -2ybc
x,y,z
x,-y+1/2,z+1/2

*  9:-b3    Cs^4          Cc:-b3 = I1c1                I -2yc
x,y,z
x,-y,z+1/2

*  9:c1     Cs^4          Cc:c1 = A11a                 A -2a
x,y,z
x+1/2,y,-z

*  9:c2     Cs^4          Cc:c2 = B11n                 B -2bc
x,y,z
x,y+1/2,-z+1/2

*  9:c3     Cs^4          Cc:c3 = I11b                 I -2b
x,y,z
x,y+1/2,-z

*  9:-c1    Cs^4          Cc:-c1 = B11b                B -2b
x,y,z
x,y+1/2,-z

*  9:-c2    Cs^4          Cc:-c2 = A11n                A -2ac
x,y,z
x+1/2,y,-z+1/2

*  9:-c3    Cs^4          Cc:-c3 = I11a                I -2a
x,y,z
x+1/2,y,-z

*  9:a1     Cs^4          Cc:a1 = Bb11                 B -2xb
x,y,z
-x,y+1/2,z

*  9:a2     Cs^4          Cc:a2 = Cn11                 C -2xbc
x,y,z
-x,y+1/2,z+1/2

*  9:a3     Cs^4          Cc:a3 = Ic11                 I -2xc
x,y,z
-x,y,z+1/2

*  9:-a1    Cs^4          Cc:-a1 = Cc11                C -2xc
x,y,z
-x,y,z+1/2

*  9:-a2    Cs^4          Cc:-a2 = Bn11                B -2xbc
x,y,z
-x,y+1/2,z+1/2

*  9:-a3    Cs^4          Cc:-a3 = Ib11                I -2xb
x,y,z
-x,y+1/2,z

* 10:b      C2h^1         P2/m:b = P12/m1             -P 2y
x,y,z
-x,y,-z
-x,-y,-z
x,-y,z

* 10:c      C2h^1         P2/m:c = P112/m             -P 2
x,y,z
-x,-y,z
-x,-y,-z
x,y,-z

* 10:a      C2h^1         P2/m:a = P2/m11             -P 2x
x,y,z
x,-y,-z
-x,-y,-z
-x,y,z

* 11:b      C2h^2         P21/m:b = P121/m1           -P 2yb
x,y,z
-x,y+1/2,-z
-x,-y,-z
x,-y+1/2,z

* 11:c      C2h^2         P21/m:c = P1121/m           -P 2c
x,y,z
-x,-y,z+1/2
-x,-y,-z
x,y,-z+1/2

* 11:a      C2h^2         P21/m:a = P21/m11           -P 2xa
x,y,z
x+1/2,-y,-z
-x,-y,-z
-x+1/2,y,z

* 12:b1     C2h^3         C2/m:b1 = C12/m1            -C 2y
x,y,z
-x,y,-z
-x,-y,-z
x,-y,z

* 12:b2     C2h^3         C2/m:b2 = A12/m1            -A 2y
x,y,z
-x,y,-z
-x,-y,-z
x,-y,z

* 12:b3     C2h^3         C2/m:b3 = I12/m1            -I 2y
x,y,z
-x,y,-z
-x,-y,-z
x,-y,z

* 12:c1     C2h^3         C2/m:c1 = A112/m            -A 2
x,y,z
-x,-y,z
-x,-y,-z
x,y,-z

* 12:c2     C2h^3         C2/m:c2 = B112/m            -B 2
x,y,z
-x,-y,z
-x,-y,-z
x,y,-z

* 12:c3     C2h^3         C2/m:c3 = I112/m            -I 2
x,y,z
-x,-y,z
-x,-y,-z
x,y,-z

* 12:a1     C2h^3         C2/m:a1 = B2/m11            -B 2x
x,y,z
x,-y,-z
-x,-y,-z
-x,y,z

* 12:a2     C2h^3         C2/m:a2 = C2/m11            -C 2x
x,y,z
x,-y,-z
-x,-y,-z
-x,y,z

* 12:a3     C2h^3         C2/m:a3 = I2/m11            -I 2x
x,y,z
x,-y,-z
-x,-y,-z
-x,y,z

* 13:b1     C2h^4         P2/c:b1 = P12/c1            -P 2yc
x,y,z
-x,y,-z+1/2
-x,-y,-z
x,-y,z+1/2

* 13:b2     C2h^4         P2/c:b2 = P12/n1            -P 2yac
x,y,z
-x+1/2,y,-z+1/2
-x,-y,-z
x+1/2,-y,z+1/2

* 13:b3     C2h^4         P2/c:b3 = P12/a1            -P 2ya
x,y,z
-x+1/2,y,-z
-x,-y,-z
x+1/2,-y,z

* 13:c1     C2h^4         P2/c:c1 = P112/a            -P 2a
x,y,z
-x+1/2,-y,z
-x,-y,-z
x+1/2,y,-z

* 13:c2     C2h^4         P2/c:c2 = P112/n            -P 2ab
x,y,z
-x+1/2,-y+1/2,z
-x,-y,-z
x+1/2,y+1/2,-z

* 13:c3     C2h^4         P2/c:c3 = P112/b            -P 2b
x,y,z
-x,-y+1/2,z
-x,-y,-z
x,y+1/2,-z

* 13:a1     C2h^4         P2/c:a1 = P2/b11            -P 2xb
x,y,z
x,-y+1/2,-z
-x,-y,-z
-x,y+1/2,z

* 13:a2     C2h^4         P2/c:a2 = P2/n11            -P 2xbc
x,y,z
x,-y+1/2,-z+1/2
-x,-y,-z
-x,y+1/2,z+1/2

* 13:a3     C2h^4         P2/c:a3 = P2/c11            -P 2xc
x,y,z
x,-y,-z+1/2
-x,-y,-z
-x,y,z+1/2

* 14:b1     C2h^5         P21/c:b1 = P121/c1          -P 2ybc
x,y,z
-x,y+1/2,-z+1/2
-x,-y,-z
x,-y+1/2,z+1/2

* 14:b2     C2h^5         P21/c:b2 = P121/n1          -P 2yn
x,y,z
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x+1/2,-y+1/2,z+1/2

* 14:b3     C2h^5         P21/c:b3 = P121/a1          -P 2yab
x,y,z
-x+1/2,y+1/2,-z
-x,-y,-z
x+1/2,-y+1/2,z

* 14:c1     C2h^5         P21/c:c1 = P1121/a          -P 2ac
x,y,z
-x+1/2,-y,z+1/2
-x,-y,-z
x+1/2,y,-z+1/2

* 14:c2     C2h^5         P21/c:c2 = P1121/n          -P 2n
x,y,z
-x+1/2,-y+1/2,z+1/2
-x,-y,-z
x+1/2,y+1/2,-z+1/2

* 14:c3     C2h^5         P21/c:c3 = P1121/b          -P 2bc
x,y,z
-x,-y+1/2,z+1/2
-x,-y,-z
x,y+1/2,-z+1/2

* 14:a1     C2h^5         P21/c:a1 = P21/b11          -P 2xab
x,y,z
x+1/2,-y+1/2,-z
-x,-y,-z
-x+1/2,y+1/2,z

* 14:a2     C2h^5         P21/c:a2 = P21/n11          -P 2xn
x,y,z
x+1/2,-y+1/2,-z+1/2
-x,-y,-z
-x+1/2,y+1/2,z+1/2

* 14:a3     C2h^5         P21/c:a3 = P21/c11          -P 2xac
x,y,z
x+1/2,-y,-z+1/2
-x,-y,-z
-x+1/2,y,z+1/2

* 15:b1     C2h^6         C2/c:b1 = C12/c1            -C 2yc
x,y,z
-x,y,-z+1/2
-x,-y,-z
x,-y,z+1/2

* 15:b2     C2h^6         C2/c:b2 = A12/n1            -A 2yac
x,y,z
-x+1/2,y,-z+1/2
-x,-y,-z
x+1/2,-y,z+1/2

* 15:b3     C2h^6         C2/c:b3 = I12/a1            -I 2ya
x,y,z
-x+1/2,y,-z
-x,-y,-z
x+1/2,-y,z

* 15:-b1    C2h^6         C2/c:-b1 = A12/a1           -A 2ya
x,y,z
-x+1/2,y,-z
-x,-y,-z
x+1/2,-y,z

* 15:-b2    C2h^6         C2/c:-b2 = C12/n1           -C 2ybc
x,y,z
-x,y+1/2,-z+1/2
-x,-y,-z
x,-y+1/2,z+1/2

* 15:-b3    C2h^6         C2/c:-b3 = I12/c1           -I 2yc
x,y,z
-x,y,-z+1/2
-x,-y,-z
x,-y,z+1/2

* 15:c1     C2h^6         C2/c:c1 = A112/a            -A 2a
x,y,z
-x+1/2,-y,z
-x,-y,-z
x+1/2,y,-z

* 15:c2     C2h^6         C2/c:c2 = B112/n            -B 2bc
x,y,z
-x,-y+1/2,z+1/2
-x,-y,-z
x,y+1/2,-z+1/2

* 15:c3     C2h^6         C2/c:c3 = I112/b            -I 2b
x,y,z
-x,-y+1/2,z
-x,-y,-z
x,y+1/2,-z

* 15:-c1    C2h^6         C2/c:-c1 = B112/b           -B 2b
x,y,z
-x,-y+1/2,z
-x,-y,-z
x,y+1/2,-z

* 15:-c2    C2h^6         C2/c:-c2 = A112/n           -A 2ac
x,y,z
-x+1/2,-y,z+1/2
-x,-y,-z
x+1/2,y,-z+1/2

* 15:-c3    C2h^6         C2/c:-c3 = I112/a           -I 2a
x,y,z
-x+1/2,-y,z
-x,-y,-z
x+1/2,y,-z

* 15:a1     C2h^6         C2/c:a1 = B2/b11            -B 2xb
x,y,z
x,-y+1/2,-z
-x,-y,-z
-x,y+1/2,z

* 15:a2     C2h^6         C2/c:a2 = C2/n11            -C 2xbc
x,y,z
x,-y+1/2,-z+1/2
-x,-y,-z
-x,y+1/2,z+1/2

* 15:a3     C2h^6         C2/c:a3 = I2/c11            -I 2xc
x,y,z
x,-y,-z+1/2
-x,-y,-z
-x,y,z+1/2

* 15:-a1    C2h^6         C2/c:-a1 = C2/c11           -C 2xc
x,y,z
x,-y,-z+1/2
-x,-y,-z
-x,y,z+1/2

* 15:-a2    C2h^6         C2/c:-a2 = B2/n11           -B 2xbc
x,y,z
x,-y+1/2,-z+1/2
-x,-y,-z
-x,y+1/2,z+1/2

* 15:-a3    C2h^6         C2/c:-a3 = I2/b11           -I 2xb
x,y,z
x,-y+1/2,-z
-x,-y,-z
-x,y+1/2,z

* 16        D2^1          P222                         P 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z

* 17        D2^2          P2221                        P 2c 2
x,y,z
-x,-y,z+1/2
x,-y,-z
-x,y,-z+1/2

* 17:cab    D2^2          P2122                        P 2a 2a
x,y,z
-x+1/2,-y,z
x+1/2,-y,-z
-x,y,-z

* 17:bca    D2^2          P2212                        P 2 2b
x,y,z
-x,-y,z
x,-y+1/2,-z
-x,y+1/2,-z

* 18        D2^3          P21212                       P 2 2ab
x,y,z
-x,-y,z
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z

* 18:cab    D2^3          P22121                       P 2bc 2
x,y,z
-x,-y+1/2,z+1/2
x,-y,-z
-x,y+1/2,-z+1/2

* 18:bca    D2^3          P21221                       P 2ac 2ac
x,y,z
-x+1/2,-y,z+1/2
x+1/2,-y,-z+1/2
-x,y,-z

* 19        D2^4          P212121                      P 2ac 2ab
x,y,z
-x+1/2,-y,z+1/2
x+1/2,-y+1/2,-z
-x,y+1/2,-z+1/2

* 20        D2^5          C2221                        C 2c 2
x,y,z
-x,-y,z+1/2
x,-y,-z
-x,y,-z+1/2

* 20:cab    D2^5          A2122                        A 2a 2a
x,y,z
-x+1/2,-y,z
x+1/2,-y,-z
-x,y,-z

* 20:bca    D2^5          B2212                        B 2 2b
x,y,z
-x,-y,z
x,-y+1/2,-z
-x,y+1/2,-z

* 21        D2^6          C222                         C 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z

* 21:cab    D2^6          A222                         A 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z

* 21:bca    D2^6          B222                         B 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z

* 22        D2^7          F222                         F 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z

* 23        D2^8          I222                         I 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z

* 24        D2^9          I212121                      I 2b 2c
x,y,z
-x,-y+1/2,z
x,-y,-z+1/2
-x+1/2,y,-z

* 25        C2v^1         Pmm2                         P 2 -2
x,y,z
-x,-y,z
-x,y,z
x,-y,z

* 25:cab    C2v^1         P2mm                         P -2 2
x,y,z
x,-y,-z
x,y,-z
x,-y,z

* 25:bca    C2v^1         Pm2m                         P -2 -2
x,y,z
-x,y,-z
x,y,-z
-x,y,z

* 26        C2v^2         Pmc21                        P 2c -2
x,y,z
-x,-y,z+1/2
-x,y,z
x,-y,z+1/2

* 26:ba-c   C2v^2         Pcm21                        P 2c -2c
x,y,z
-x,-y,z+1/2
-x,y,z+1/2
x,-y,z

* 26:cab    C2v^2         P21ma                        P -2a 2a
x,y,z
x+1/2,-y,-z
x+1/2,y,-z
x,-y,z

* 26:-cba   C2v^2         P21am                        P -2 2a
x,y,z
x+1/2,-y,-z
x,y,-z
x+1/2,-y,z

* 26:bca    C2v^2         Pb21m                        P -2 -2b
x,y,z
-x,y+1/2,-z
x,y,-z
-x,y+1/2,z

* 26:a-cb   C2v^2         Pm21b                        P -2b -2
x,y,z
-x,y+1/2,-z
x,y+1/2,-z
-x,y,z

* 27        C2v^3         Pcc2                         P 2 -2c
x,y,z
-x,-y,z
-x,y,z+1/2
x,-y,z+1/2

* 27:cab    C2v^3         P2aa                         P -2a 2
x,y,z
x,-y,-z
x+1/2,y,-z
x+1/2,-y,z

* 27:bca    C2v^3         Pb2b                         P -2b -2b
x,y,z
-x,y,-z
x,y+1/2,-z
-x,y+1/2,z

* 28        C2v^4         Pma2                         P 2 -2a
x,y,z
-x,-y,z
-x+1/2,y,z
x+1/2,-y,z

* 28:ba-c   C2v^4         Pbm2                         P 2 -2b
x,y,z
-x,-y,z
-x,y+1/2,z
x,-y+1/2,z

* 28:cab    C2v^4         P2mb                         P -2b 2
x,y,z
x,-y,-z
x,y+1/2,-z
x,-y+1/2,z

* 28:-cba   C2v^4         P2cm                         P -2c 2
x,y,z
x,-y,-z
x,y,-z+1/2
x,-y,z+1/2

* 28:bca    C2v^4         Pc2m                         P -2c -2c
x,y,z
-x,y,-z
x,y,-z+1/2
-x,y,z+1/2

* 28:a-cb   C2v^4         Pm2a                         P -2a -2a
x,y,z
-x,y,-z
x+1/2,y,-z
-x+1/2,y,z

* 29        C2v^5         Pca21                        P 2c -2ac
x,y,z
-x,-y,z+1/2
-x+1/2,y,z+1/2
x+1/2,-y,z

* 29:ba-c   C2v^5         Pbc21                        P 2c -2b
x,y,z
-x,-y,z+1/2
-x,y+1/2,z
x,-y+1/2,z+1/2

* 29:cab    C2v^5         P21ab                        P -2b 2a
x,y,z
x+1/2,-y,-z
x,y+1/2,-z
x+1/2,-y+1/2,z

* 29:-cba   C2v^5         P21ca                        P -2ac 2a
x,y,z
x+1/2,-y,-z
x+1/2,y,-z+1/2
x,-y,z+1/2

* 29:bca    C2v^5         Pc21b                        P -2bc -2c
x,y,z
-x,y+1/2,-z
x,y+1/2,-z+1/2
-x,y,z+1/2

* 29:a-cb   C2v^5         Pb21a                        P -2a -2ab
x,y,z
-x,y+1/2,-z
x+1/2,y,-z
-x+1/2,y+1/2,z

* 30        C2v^6         Pnc2                         P 2 -2bc
x,y,z
-x,-y,z
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 30:ba-c   C2v^6         Pcn2                         P 2 -2ac
x,y,z
-x,-y,z
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2

* 30:cab    C2v^6         P2na                         P -2ac 2
x,y,z
x,-y,-z
x+1/2,y,-z+1/2
x+1/2,-y,z+1/2

* 30:-cba   C2v^6         P2an                         P -2ab 2
x,y,z
x,-y,-z
x+1/2,y+1/2,-z
x+1/2,-y+1/2,z

* 30:bca    C2v^6         Pb2n                         P -2ab -2ab
x,y,z
-x,y,-z
x+1/2,y+1/2,-z
-x+1/2,y+1/2,z

* 30:a-cb   C2v^6         Pn2b                         P -2bc -2bc
x,y,z
-x,y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2

* 31        C2v^7         Pmn21                        P 2ac -2
x,y,z
-x+1/2,-y,z+1/2
-x,y,z
x+1/2,-y,z+1/2

* 31:ba-c   C2v^7         Pnm21                        P 2bc -2bc
x,y,z
-x,-y+1/2,z+1/2
-x,y+1/2,z+1/2
x,-y,z

* 31:cab    C2v^7         P21mn                        P -2ab 2ab
x,y,z
x+1/2,-y+1/2,-z
x+1/2,y+1/2,-z
x,-y,z

* 31:-cba   C2v^7         P21nm                        P -2 2ac
x,y,z
x+1/2,-y,-z+1/2
x,y,-z
x+1/2,-y,z+1/2

* 31:bca    C2v^7         Pn21m                        P -2 -2bc
x,y,z
-x,y+1/2,-z+1/2
x,y,-z
-x,y+1/2,z+1/2

* 31:a-cb   C2v^7         Pm21n                        P -2ab -2
x,y,z
-x+1/2,y+1/2,-z
x+1/2,y+1/2,-z
-x,y,z

* 32        C2v^8         Pba2                         P 2 -2ab
x,y,z
-x,-y,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z

* 32:cab    C2v^8         P2cb                         P -2bc 2
x,y,z
x,-y,-z
x,y+1/2,-z+1/2
x,-y+1/2,z+1/2

* 32:bca    C2v^8         Pc2a                         P -2ac -2ac
x,y,z
-x,y,-z
x+1/2,y,-z+1/2
-x+1/2,y,z+1/2

* 33        C2v^9         Pna21                        P 2c -2n
x,y,z
-x,-y,z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z

* 33:ba-c   C2v^9         Pbn21                        P 2c -2ab
x,y,z
-x,-y,z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z+1/2

* 33:cab    C2v^9         P21nb                        P -2bc 2a
x,y,z
x+1/2,-y,-z
x,y+1/2,-z+1/2
x+1/2,-y+1/2,z+1/2

* 33:-cba   C2v^9         P21cn                        P -2n 2a
x,y,z
x+1/2,-y,-z
x+1/2,y+1/2,-z+1/2
x,-y+1/2,z+1/2

* 33:bca    C2v^9         Pc21n                        P -2n -2ac
x,y,z
-x,y+1/2,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y,z+1/2

* 33:a-cb   C2v^9         Pn21a                        P -2ac -2n
x,y,z
-x,y+1/2,-z
x+1/2,y,-z+1/2
-x+1/2,y+1/2,z+1/2

* 34        C2v^10        Pnn2                         P 2 -2n
x,y,z
-x,-y,z
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2

* 34:cab    C2v^10        P2nn                         P -2n 2
x,y,z
x,-y,-z
x+1/2,y+1/2,-z+1/2
x+1/2,-y+1/2,z+1/2

* 34:bca    C2v^10        Pn2n                         P -2n -2n
x,y,z
-x,y,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2

* 35        C2v^11        Cmm2                         C 2 -2
x,y,z
-x,-y,z
-x,y,z
x,-y,z

* 35:cab    C2v^11        A2mm                         A -2 2
x,y,z
x,-y,-z
x,y,-z
x,-y,z

* 35:bca    C2v^11        Bm2m                         B -2 -2
x,y,z
-x,y,-z
x,y,-z
-x,y,z

* 36        C2v^12        Cmc21                        C 2c -2
x,y,z
-x,-y,z+1/2
-x,y,z
x,-y,z+1/2

* 36:ba-c   C2v^12        Ccm21                        C 2c -2c
x,y,z
-x,-y,z+1/2
-x,y,z+1/2
x,-y,z

* 36:cab    C2v^12        A21ma                        A -2a 2a
x,y,z
x+1/2,-y,-z
x+1/2,y,-z
x,-y,z

* 36:-cba   C2v^12        A21am                        A -2 2a
x,y,z
x+1/2,-y,-z
x,y,-z
x+1/2,-y,z

* 36:bca    C2v^12        Bb21m                        B -2 -2b
x,y,z
-x,y+1/2,-z
x,y,-z
-x,y+1/2,z

* 36:a-cb   C2v^12        Bm21b                        B -2b -2
x,y,z
-x,y+1/2,-z
x,y+1/2,-z
-x,y,z

* 37        C2v^13        Ccc2                         C 2 -2c
x,y,z
-x,-y,z
-x,y,z+1/2
x,-y,z+1/2

* 37:cab    C2v^13        A2aa                         A -2a 2
x,y,z
x,-y,-z
x+1/2,y,-z
x+1/2,-y,z

* 37:bca    C2v^13        Bb2b                         B -2b -2b
x,y,z
-x,y,-z
x,y+1/2,-z
-x,y+1/2,z

* 38        C2v^14        Amm2                         A 2 -2
x,y,z
-x,-y,z
-x,y,z
x,-y,z

* 38:ba-c   C2v^14        Bmm2                         B 2 -2
x,y,z
-x,-y,z
-x,y,z
x,-y,z

* 38:cab    C2v^14        B2mm                         B -2 2
x,y,z
x,-y,-z
x,y,-z
x,-y,z

* 38:-cba   C2v^14        C2mm                         C -2 2
x,y,z
x,-y,-z
x,y,-z
x,-y,z

* 38:bca    C2v^14        Cm2m                         C -2 -2
x,y,z
-x,y,-z
x,y,-z
-x,y,z

* 38:a-cb   C2v^14        Am2m                         A -2 -2
x,y,z
-x,y,-z
x,y,-z
-x,y,z

* 39        C2v^15        Abm2                         A 2 -2c
x,y,z
-x,-y,z
-x,y,z+1/2
x,-y,z+1/2

* 39:ba-c   C2v^15        Bma2                         B 2 -2c
x,y,z
-x,-y,z
-x,y,z+1/2
x,-y,z+1/2

* 39:cab    C2v^15        B2cm                         B -2c 2
x,y,z
x,-y,-z
x,y,-z+1/2
x,-y,z+1/2

* 39:-cba   C2v^15        C2mb                         C -2b 2
x,y,z
x,-y,-z
x,y+1/2,-z
x,-y+1/2,z

* 39:bca    C2v^15        Cm2a                         C -2b -2b
x,y,z
-x,y,-z
x,y+1/2,-z
-x,y+1/2,z

* 39:a-cb   C2v^15        Ac2m                         A -2c -2c
x,y,z
-x,y,-z
x,y,-z+1/2
-x,y,z+1/2

* 40        C2v^16        Ama2                         A 2 -2a
x,y,z
-x,-y,z
-x+1/2,y,z
x+1/2,-y,z

* 40:ba-c   C2v^16        Bbm2                         B 2 -2b
x,y,z
-x,-y,z
-x,y+1/2,z
x,-y+1/2,z

* 40:cab    C2v^16        B2mb                         B -2b 2
x,y,z
x,-y,-z
x,y+1/2,-z
x,-y+1/2,z

* 40:-cba   C2v^16        C2cm                         C -2c 2
x,y,z
x,-y,-z
x,y,-z+1/2
x,-y,z+1/2

* 40:bca    C2v^16        Cc2m                         C -2c -2c
x,y,z
-x,y,-z
x,y,-z+1/2
-x,y,z+1/2

* 40:a-cb   C2v^16        Am2a                         A -2a -2a
x,y,z
-x,y,-z
x+1/2,y,-z
-x+1/2,y,z

* 41        C2v^17        Aba2                         A 2 -2ac
x,y,z
-x,-y,z
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2

* 41:ba-c   C2v^17        Bba2                         B 2 -2bc
x,y,z
-x,-y,z
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 41:cab    C2v^17        B2cb                         B -2bc 2
x,y,z
x,-y,-z
x,y+1/2,-z+1/2
x,-y+1/2,z+1/2

* 41:-cba   C2v^17        C2cb                         C -2bc 2
x,y,z
x,-y,-z
x,y+1/2,-z+1/2
x,-y+1/2,z+1/2

* 41:bca    C2v^17        Cc2a                         C -2bc -2bc
x,y,z
-x,y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2

* 41:a-cb   C2v^17        Ac2a                         A -2ac -2ac
x,y,z
-x,y,-z
x+1/2,y,-z+1/2
-x+1/2,y,z+1/2

* 42        C2v^18        Fmm2                         F 2 -2
x,y,z
-x,-y,z
-x,y,z
x,-y,z

* 42:cab    C2v^18        F2mm                         F -2 2
x,y,z
x,-y,-z
x,y,-z
x,-y,z

* 42:bca    C2v^18        Fm2m                         F -2 -2
x,y,z
-x,y,-z
x,y,-z
-x,y,z

* 43        C2v^19        Fdd2                         F 2 -2d
x,y,z
-x,-y,z
-x+1/4,y+1/4,z+1/4
x+1/4,-y+1/4,z+1/4

* 43:cab    C2v^19        F2dd                         F -2d 2
x,y,z
x,-y,-z
x+1/4,y+1/4,-z+1/4
x+1/4,-y+1/4,z+1/4

* 43:bca    C2v^19        Fd2d                         F -2d -2d
x,y,z
-x,y,-z
x+1/4,y+1/4,-z+1/4
-x+1/4,y+1/4,z+1/4

* 44        C2v^20        Imm2                         I 2 -2
x,y,z
-x,-y,z
-x,y,z
x,-y,z

* 44:cab    C2v^20        I2mm                         I -2 2
x,y,z
x,-y,-z
x,y,-z
x,-y,z

* 44:bca    C2v^20        Im2m                         I -2 -2
x,y,z
-x,y,-z
x,y,-z
-x,y,z

* 45        C2v^21        Iba2                         I 2 -2c
x,y,z
-x,-y,z
-x,y,z+1/2
x,-y,z+1/2

* 45:cab    C2v^21        I2cb                         I -2a 2
x,y,z
x,-y,-z
x+1/2,y,-z
x+1/2,-y,z

* 45:bca    C2v^21        Ic2a                         I -2b -2b
x,y,z
-x,y,-z
x,y+1/2,-z
-x,y+1/2,z

* 46        C2v^22        Ima2                         I 2 -2a
x,y,z
-x,-y,z
-x+1/2,y,z
x+1/2,-y,z

* 46:ba-c   C2v^22        Ibm2                         I 2 -2b
x,y,z
-x,-y,z
-x,y+1/2,z
x,-y+1/2,z

* 46:cab    C2v^22        I2mb                         I -2b 2
x,y,z
x,-y,-z
x,y+1/2,-z
x,-y+1/2,z

* 46:-cba   C2v^22        I2cm                         I -2c 2
x,y,z
x,-y,-z
x,y,-z+1/2
x,-y,z+1/2

* 46:bca    C2v^22        Ic2m                         I -2c -2c
x,y,z
-x,y,-z
x,y,-z+1/2
-x,y,z+1/2

* 46:a-cb   C2v^22        Im2a                         I -2a -2a
x,y,z
-x,y,-z
x+1/2,y,-z
-x+1/2,y,z

* 47        D2h^1         Pmmm                        -P 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
x,y,-z
-x,y,z
x,-y,z

* 48:1      D2h^2         Pnnn:1                       P 2 2 -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2

* 48:2      D2h^2         Pnnn:2                      -P 2ab 2bc
x,y,z
-x+1/2,-y+1/2,z
x,-y+1/2,-z+1/2
-x+1/2,y,-z+1/2
-x,-y,-z
x+1/2,y+1/2,-z
-x,y+1/2,z+1/2
x+1/2,-y,z+1/2

* 49        D2h^3         Pccm                        -P 2 2c
x,y,z
-x,-y,z
x,-y,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x,y,-z
-x,y,z+1/2
x,-y,z+1/2

* 49:cab    D2h^3         Pmaa                        -P 2a 2
x,y,z
-x+1/2,-y,z
x,-y,-z
-x+1/2,y,-z
-x,-y,-z
x+1/2,y,-z
-x,y,z
x+1/2,-y,z

* 49:bca    D2h^3         Pbmb                        -P 2b 2b
x,y,z
-x,-y+1/2,z
x,-y+1/2,-z
-x,y,-z
-x,-y,-z
x,y+1/2,-z
-x,y+1/2,z
x,-y,z

* 50:1      D2h^4         Pban:1                       P 2 2 -1ab
x,y,z
-x+1/2,-y+1/2,-z
-x,-y,z
x,-y,-z
-x,y,-z
x+1/2,y+1/2,-z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z

* 50:2      D2h^4         Pban:2                      -P 2ab 2b
x,y,z
-x+1/2,-y+1/2,z
x,-y+1/2,-z
-x+1/2,y,-z
-x,-y,-z
x+1/2,y+1/2,-z
-x,y+1/2,z
x+1/2,-y,z

* 50:1cab   D2h^4         Pncb:1                       P 2 2 -1bc
x,y,z
-x,-y+1/2,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 50:2cab   D2h^4         Pncb:2                      -P 2b 2bc
x,y,z
-x,-y+1/2,z
x,-y+1/2,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x,y+1/2,-z
-x,y+1/2,z+1/2
x,-y,z+1/2

* 50:1bca   D2h^4         Pcna:1                       P 2 2 -1ac
x,y,z
-x+1/2,-y,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x+1/2,y,-z+1/2
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2

* 50:2bca   D2h^4         Pcna:2                      -P 2a 2c
x,y,z
-x+1/2,-y,z
x,-y,-z+1/2
-x+1/2,y,-z+1/2
-x,-y,-z
x+1/2,y,-z
-x,y,z+1/2
x+1/2,-y,z+1/2

* 51        D2h^5         Pmma                        -P 2a 2a
x,y,z
-x+1/2,-y,z
x+1/2,-y,-z
-x,y,-z
-x,-y,-z
x+1/2,y,-z
-x+1/2,y,z
x,-y,z

* 51:ba-c   D2h^5         Pmmb                        -P 2b 2
x,y,z
-x,-y+1/2,z
x,-y,-z
-x,y+1/2,-z
-x,-y,-z
x,y+1/2,-z
-x,y,z
x,-y+1/2,z

* 51:cab    D2h^5         Pbmm                        -P 2 2b
x,y,z
-x,-y,z
x,-y+1/2,-z
-x,y+1/2,-z
-x,-y,-z
x,y,-z
-x,y+1/2,z
x,-y+1/2,z

* 51:-cba   D2h^5         Pcmm                        -P 2c 2c
x,y,z
-x,-y,z+1/2
x,-y,-z+1/2
-x,y,-z
-x,-y,-z
x,y,-z+1/2
-x,y,z+1/2
x,-y,z

* 51:bca    D2h^5         Pmcm                        -P 2c 2
x,y,z
-x,-y,z+1/2
x,-y,-z
-x,y,-z+1/2
-x,-y,-z
x,y,-z+1/2
-x,y,z
x,-y,z+1/2

* 51:a-cb   D2h^5         Pmam                        -P 2 2a
x,y,z
-x,-y,z
x+1/2,-y,-z
-x+1/2,y,-z
-x,-y,-z
x,y,-z
-x+1/2,y,z
x+1/2,-y,z

* 52        D2h^6         Pnna                        -P 2a 2bc
x,y,z
-x+1/2,-y,z
x,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x+1/2,y,-z
-x,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2

* 52:ba-c   D2h^6         Pnnb                        -P 2b 2n
x,y,z
-x,-y+1/2,z
x+1/2,-y+1/2,-z+1/2
-x+1/2,y,-z+1/2
-x,-y,-z
x,y+1/2,-z
-x+1/2,y+1/2,z+1/2
x+1/2,-y,z+1/2

* 52:cab    D2h^6         Pbnn                        -P 2n 2b
x,y,z
-x+1/2,-y+1/2,z+1/2
x,-y+1/2,-z
-x+1/2,y,-z+1/2
-x,-y,-z
x+1/2,y+1/2,-z+1/2
-x,y+1/2,z
x+1/2,-y,z+1/2

* 52:-cba   D2h^6         Pcnn                        -P 2ab 2c
x,y,z
-x+1/2,-y+1/2,z
x,-y,-z+1/2
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x+1/2,y+1/2,-z
-x,y,z+1/2
x+1/2,-y+1/2,z+1/2

* 52:bca    D2h^6         Pncn                        -P 2ab 2n
x,y,z
-x+1/2,-y+1/2,z
x+1/2,-y+1/2,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x+1/2,y+1/2,-z
-x+1/2,y+1/2,z+1/2
x,-y,z+1/2

* 52:a-cb   D2h^6         Pnan                        -P 2n 2bc
x,y,z
-x+1/2,-y+1/2,z+1/2
x,-y+1/2,-z+1/2
-x+1/2,y,-z
-x,-y,-z
x+1/2,y+1/2,-z+1/2
-x,y+1/2,z+1/2
x+1/2,-y,z

* 53        D2h^7         Pmna                        -P 2ac 2
x,y,z
-x+1/2,-y,z+1/2
x,-y,-z
-x+1/2,y,-z+1/2
-x,-y,-z
x+1/2,y,-z+1/2
-x,y,z
x+1/2,-y,z+1/2

* 53:ba-c   D2h^7         Pnmb                        -P 2bc 2bc
x,y,z
-x,-y+1/2,z+1/2
x,-y+1/2,-z+1/2
-x,y,-z
-x,-y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2
x,-y,z

* 53:cab    D2h^7         Pbmn                        -P 2ab 2ab
x,y,z
-x+1/2,-y+1/2,z
x+1/2,-y+1/2,-z
-x,y,-z
-x,-y,-z
x+1/2,y+1/2,-z
-x+1/2,y+1/2,z
x,-y,z

* 53:-cba   D2h^7         Pcnm                        -P 2 2ac
x,y,z
-x,-y,z
x+1/2,-y,-z+1/2
-x+1/2,y,-z+1/2
-x,-y,-z
x,y,-z
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2

* 53:bca    D2h^7         Pncm                        -P 2 2bc
x,y,z
-x,-y,z
x,-y+1/2,-z+1/2
-x,y+1/2,-z+1/2
-x,-y,-z
x,y,-z
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 53:a-cb   D2h^7         Pman                        -P 2ab 2
x,y,z
-x+1/2,-y+1/2,z
x,-y,-z
-x+1/2,y+1/2,-z
-x,-y,-z
x+1/2,y+1/2,-z
-x,y,z
x+1/2,-y+1/2,z

* 54        D2h^8         Pcca                        -P 2a 2ac
x,y,z
-x+1/2,-y,z
x+1/2,-y,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x+1/2,y,-z
-x+1/2,y,z+1/2
x,-y,z+1/2

* 54:ba-c   D2h^8         Pccb                        -P 2b 2c
x,y,z
-x,-y+1/2,z
x,-y,-z+1/2
-x,y+1/2,-z+1/2
-x,-y,-z
x,y+1/2,-z
-x,y,z+1/2
x,-y+1/2,z+1/2

* 54:cab    D2h^8         Pbaa                        -P 2a 2b
x,y,z
-x+1/2,-y,z
x,-y+1/2,-z
-x+1/2,y+1/2,-z
-x,-y,-z
x+1/2,y,-z
-x,y+1/2,z
x+1/2,-y+1/2,z

* 54:-cba   D2h^8         Pcaa                        -P 2ac 2c
x,y,z
-x+1/2,-y,z+1/2
x,-y,-z+1/2
-x+1/2,y,-z
-x,-y,-z
x+1/2,y,-z+1/2
-x,y,z+1/2
x+1/2,-y,z

* 54:bca    D2h^8         Pbcb                        -P 2bc 2b
x,y,z
-x,-y+1/2,z+1/2
x,-y+1/2,-z
-x,y,-z+1/2
-x,-y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z
x,-y,z+1/2

* 54:a-cb   D2h^8         Pbab                        -P 2b 2ab
x,y,z
-x,-y+1/2,z
x+1/2,-y+1/2,-z
-x+1/2,y,-z
-x,-y,-z
x,y+1/2,-z
-x+1/2,y+1/2,z
x+1/2,-y,z

* 55        D2h^9         Pbam                        -P 2 2ab
x,y,z
-x,-y,z
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z
-x,-y,-z
x,y,-z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z

* 55:cab    D2h^9         Pmcb                        -P 2bc 2
x,y,z
-x,-y+1/2,z+1/2
x,-y,-z
-x,y+1/2,-z+1/2
-x,-y,-z
x,y+1/2,-z+1/2
-x,y,z
x,-y+1/2,z+1/2

* 55:bca    D2h^9         Pcma                        -P 2ac 2ac
x,y,z
-x+1/2,-y,z+1/2
x+1/2,-y,-z+1/2
-x,y,-z
-x,-y,-z
x+1/2,y,-z+1/2
-x+1/2,y,z+1/2
x,-y,z

* 56        D2h^10        Pccn                        -P 2ab 2ac
x,y,z
-x+1/2,-y+1/2,z
x+1/2,-y,-z+1/2
-x,y+1/2,-z+1/2
-x,-y,-z
x+1/2,y+1/2,-z
-x+1/2,y,z+1/2
x,-y+1/2,z+1/2

* 56:cab    D2h^10        Pnaa                        -P 2ac 2bc
x,y,z
-x+1/2,-y,z+1/2
x,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z
-x,-y,-z
x+1/2,y,-z+1/2
-x,y+1/2,z+1/2
x+1/2,-y+1/2,z

* 56:bca    D2h^10        Pbnb                        -P 2bc 2ab
x,y,z
-x,-y+1/2,z+1/2
x+1/2,-y+1/2,-z
-x+1/2,y,-z+1/2
-x,-y,-z
x,y+1/2,-z+1/2
-x+1/2,y+1/2,z
x+1/2,-y,z+1/2

* 57        D2h^11        Pbcm                        -P 2c 2b
x,y,z
-x,-y,z+1/2
x,-y+1/2,-z
-x,y+1/2,-z+1/2
-x,-y,-z
x,y,-z+1/2
-x,y+1/2,z
x,-y+1/2,z+1/2

* 57:ba-c   D2h^11        Pcam                        -P 2c 2ac
x,y,z
-x,-y,z+1/2
x+1/2,-y,-z+1/2
-x+1/2,y,-z
-x,-y,-z
x,y,-z+1/2
-x+1/2,y,z+1/2
x+1/2,-y,z

* 57:cab    D2h^11        Pmca                        -P 2ac 2a
x,y,z
-x+1/2,-y,z+1/2
x+1/2,-y,-z
-x,y,-z+1/2
-x,-y,-z
x+1/2,y,-z+1/2
-x+1/2,y,z
x,-y,z+1/2

* 57:-cba   D2h^11        Pmab                        -P 2b 2a
x,y,z
-x,-y+1/2,z
x+1/2,-y,-z
-x+1/2,y+1/2,-z
-x,-y,-z
x,y+1/2,-z
-x+1/2,y,z
x+1/2,-y+1/2,z

* 57:bca    D2h^11        Pbma                        -P 2a 2ab
x,y,z
-x+1/2,-y,z
x+1/2,-y+1/2,-z
-x,y+1/2,-z
-x,-y,-z
x+1/2,y,-z
-x+1/2,y+1/2,z
x,-y+1/2,z

* 57:a-cb   D2h^11        Pcmb                        -P 2bc 2c
x,y,z
-x,-y+1/2,z+1/2
x,-y,-z+1/2
-x,y+1/2,-z
-x,-y,-z
x,y+1/2,-z+1/2
-x,y,z+1/2
x,-y+1/2,z

* 58        D2h^12        Pnnm                        -P 2 2n
x,y,z
-x,-y,z
x+1/2,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x,y,-z
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2

* 58:cab    D2h^12        Pmnn                        -P 2n 2
x,y,z
-x+1/2,-y+1/2,z+1/2
x,-y,-z
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x+1/2,y+1/2,-z+1/2
-x,y,z
x+1/2,-y+1/2,z+1/2

* 58:bca    D2h^12        Pnmn                        -P 2n 2n
x,y,z
-x+1/2,-y+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2
-x,y,-z
-x,-y,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x,-y,z

* 59:1      D2h^13        Pmmn:1                       P 2 2ab -1ab
x,y,z
-x+1/2,-y+1/2,-z
-x,-y,z
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z
x+1/2,y+1/2,-z
-x,y,z
x,-y,z

* 59:2      D2h^13        Pmmn:2                      -P 2ab 2a
x,y,z
-x+1/2,-y+1/2,z
x+1/2,-y,-z
-x,y+1/2,-z
-x,-y,-z
x+1/2,y+1/2,-z
-x+1/2,y,z
x,-y+1/2,z

* 59:1cab   D2h^13        Pnmm:1                       P 2bc 2 -1bc
x,y,z
-x,-y+1/2,-z+1/2
-x,-y+1/2,z+1/2
x,-y,-z
-x,y+1/2,-z+1/2
x,y,-z
-x,y+1/2,z+1/2
x,-y,z

* 59:2cab   D2h^13        Pnmm:2                      -P 2c 2bc
x,y,z
-x,-y,z+1/2
x,-y+1/2,-z+1/2
-x,y+1/2,-z
-x,-y,-z
x,y,-z+1/2
-x,y+1/2,z+1/2
x,-y+1/2,z

* 59:1bca   D2h^13        Pmnm:1                       P 2ac 2ac -1ac
x,y,z
-x+1/2,-y,-z+1/2
-x+1/2,-y,z+1/2
x+1/2,-y,-z+1/2
-x,y,-z
x,y,-z
-x,y,z
x+1/2,-y,z+1/2

* 59:2bca   D2h^13        Pmnm:2                      -P 2c 2a
x,y,z
-x,-y,z+1/2
x+1/2,-y,-z
-x+1/2,y,-z+1/2
-x,-y,-z
x,y,-z+1/2
-x+1/2,y,z
x+1/2,-y,z+1/2

* 60        D2h^14        Pbcn                        -P 2n 2ab
x,y,z
-x+1/2,-y+1/2,z+1/2
x+1/2,-y+1/2,-z
-x,y,-z+1/2
-x,-y,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z
x,-y,z+1/2

* 60:ba-c   D2h^14        Pcan                        -P 2n 2c
x,y,z
-x+1/2,-y+1/2,z+1/2
x,-y,-z+1/2
-x+1/2,y+1/2,-z
-x,-y,-z
x+1/2,y+1/2,-z+1/2
-x,y,z+1/2
x+1/2,-y+1/2,z

* 60:cab    D2h^14        Pnca                        -P 2a 2n
x,y,z
-x+1/2,-y,z
x+1/2,-y+1/2,-z+1/2
-x,y+1/2,-z+1/2
-x,-y,-z
x+1/2,y,-z
-x+1/2,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 60:-cba   D2h^14        Pnab                        -P 2bc 2n
x,y,z
-x,-y+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2
-x+1/2,y,-z
-x,-y,-z
x,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y,z

* 60:bca    D2h^14        Pbna                        -P 2ac 2b
x,y,z
-x+1/2,-y,z+1/2
x,-y+1/2,-z
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x+1/2,y,-z+1/2
-x,y+1/2,z
x+1/2,-y+1/2,z+1/2

* 60:a-cb   D2h^14        Pcnb                        -P 2b 2ac
x,y,z
-x,-y+1/2,z
x+1/2,-y,-z+1/2
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x,y+1/2,-z
-x+1/2,y,z+1/2
x+1/2,-y+1/2,z+1/2

* 61        D2h^15        Pbca                        -P 2ac 2ab
x,y,z
-x+1/2,-y,z+1/2
x+1/2,-y+1/2,-z
-x,y+1/2,-z+1/2
-x,-y,-z
x+1/2,y,-z+1/2
-x+1/2,y+1/2,z
x,-y+1/2,z+1/2

* 61:ba-c   D2h^15        Pcab                        -P 2bc 2ac
x,y,z
-x,-y+1/2,z+1/2
x+1/2,-y,-z+1/2
-x+1/2,y+1/2,-z
-x,-y,-z
x,y+1/2,-z+1/2
-x+1/2,y,z+1/2
x+1/2,-y+1/2,z

* 62        D2h^16        Pnma                        -P 2ac 2n
x,y,z
-x+1/2,-y,z+1/2
x+1/2,-y+1/2,-z+1/2
-x,y+1/2,-z
-x,-y,-z
x+1/2,y,-z+1/2
-x+1/2,y+1/2,z+1/2
x,-y+1/2,z

* 62:ba-c   D2h^16        Pmnb                        -P 2bc 2a
x,y,z
-x,-y+1/2,z+1/2
x+1/2,-y,-z
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x,y+1/2,-z+1/2
-x+1/2,y,z
x+1/2,-y+1/2,z+1/2

* 62:cab    D2h^16        Pbnm                        -P 2c 2ab
x,y,z
-x,-y,z+1/2
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z+1/2
-x,-y,-z
x,y,-z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z+1/2

* 62:-cba   D2h^16        Pcmn                        -P 2n 2ac
x,y,z
-x+1/2,-y+1/2,z+1/2
x+1/2,-y,-z+1/2
-x,y+1/2,-z
-x,-y,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y,z+1/2
x,-y+1/2,z

* 62:bca    D2h^16        Pmcn                        -P 2n 2a
x,y,z
-x+1/2,-y+1/2,z+1/2
x+1/2,-y,-z
-x,y+1/2,-z+1/2
-x,-y,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y,z
x,-y+1/2,z+1/2

* 62:a-cb   D2h^16        Pnam                        -P 2c 2n
x,y,z
-x,-y,z+1/2
x+1/2,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z
-x,-y,-z
x,y,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z

* 63        D2h^17        Cmcm                        -C 2c 2
x,y,z
-x,-y,z+1/2
x,-y,-z
-x,y,-z+1/2
-x,-y,-z
x,y,-z+1/2
-x,y,z
x,-y,z+1/2

* 63:ba-c   D2h^17        Ccmm                        -C 2c 2c
x,y,z
-x,-y,z+1/2
x,-y,-z+1/2
-x,y,-z
-x,-y,-z
x,y,-z+1/2
-x,y,z+1/2
x,-y,z

* 63:cab    D2h^17        Amma                        -A 2a 2a
x,y,z
-x+1/2,-y,z
x+1/2,-y,-z
-x,y,-z
-x,-y,-z
x+1/2,y,-z
-x+1/2,y,z
x,-y,z

* 63:-cba   D2h^17        Amam                        -A 2 2a
x,y,z
-x,-y,z
x+1/2,-y,-z
-x+1/2,y,-z
-x,-y,-z
x,y,-z
-x+1/2,y,z
x+1/2,-y,z

* 63:bca    D2h^17        Bbmm                        -B 2 2b
x,y,z
-x,-y,z
x,-y+1/2,-z
-x,y+1/2,-z
-x,-y,-z
x,y,-z
-x,y+1/2,z
x,-y+1/2,z

* 63:a-cb   D2h^17        Bmmb                        -B 2b 2
x,y,z
-x,-y+1/2,z
x,-y,-z
-x,y+1/2,-z
-x,-y,-z
x,y+1/2,-z
-x,y,z
x,-y+1/2,z

* 64        D2h^18        Cmca                        -C 2bc 2
x,y,z
-x,-y+1/2,z+1/2
x,-y,-z
-x,y+1/2,-z+1/2
-x,-y,-z
x,y+1/2,-z+1/2
-x,y,z
x,-y+1/2,z+1/2

* 64:ba-c   D2h^18        Ccmb                        -C 2bc 2bc
x,y,z
-x,-y+1/2,z+1/2
x,-y+1/2,-z+1/2
-x,y,-z
-x,-y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2
x,-y,z

* 64:cab    D2h^18        Abma                        -A 2ac 2ac
x,y,z
-x+1/2,-y,z+1/2
x+1/2,-y,-z+1/2
-x,y,-z
-x,-y,-z
x+1/2,y,-z+1/2
-x+1/2,y,z+1/2
x,-y,z

* 64:-cba   D2h^18        Acam                        -A 2 2ac
x,y,z
-x,-y,z
x+1/2,-y,-z+1/2
-x+1/2,y,-z+1/2
-x,-y,-z
x,y,-z
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2

* 64:bca    D2h^18        Bbcm                        -B 2 2bc
x,y,z
-x,-y,z
x,-y+1/2,-z+1/2
-x,y+1/2,-z+1/2
-x,-y,-z
x,y,-z
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 64:a-cb   D2h^18        Bmab                        -B 2bc 2
x,y,z
-x,-y+1/2,z+1/2
x,-y,-z
-x,y+1/2,-z+1/2
-x,-y,-z
x,y+1/2,-z+1/2
-x,y,z
x,-y+1/2,z+1/2

* 65        D2h^19        Cmmm                        -C 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
x,y,-z
-x,y,z
x,-y,z

* 65:cab    D2h^19        Ammm                        -A 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
x,y,-z
-x,y,z
x,-y,z

* 65:bca    D2h^19        Bmmm                        -B 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
x,y,-z
-x,y,z
x,-y,z

* 66        D2h^20        Cccm                        -C 2 2c
x,y,z
-x,-y,z
x,-y,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x,y,-z
-x,y,z+1/2
x,-y,z+1/2

* 66:cab    D2h^20        Amaa                        -A 2a 2
x,y,z
-x+1/2,-y,z
x,-y,-z
-x+1/2,y,-z
-x,-y,-z
x+1/2,y,-z
-x,y,z
x+1/2,-y,z

* 66:bca    D2h^20        Bbmb                        -B 2b 2b
x,y,z
-x,-y+1/2,z
x,-y+1/2,-z
-x,y,-z
-x,-y,-z
x,y+1/2,-z
-x,y+1/2,z
x,-y,z

* 67        D2h^21        Cmma                        -C 2b 2
x,y,z
-x,-y+1/2,z
x,-y,-z
-x,y+1/2,-z
-x,-y,-z
x,y+1/2,-z
-x,y,z
x,-y+1/2,z

* 67:ba-c   D2h^21        Cmmb                        -C 2b 2b
x,y,z
-x,-y+1/2,z
x,-y+1/2,-z
-x,y,-z
-x,-y,-z
x,y+1/2,-z
-x,y+1/2,z
x,-y,z

* 67:cab    D2h^21        Abmm                        -A 2c 2c
x,y,z
-x,-y,z+1/2
x,-y,-z+1/2
-x,y,-z
-x,-y,-z
x,y,-z+1/2
-x,y,z+1/2
x,-y,z

* 67:-cba   D2h^21        Acmm                        -A 2 2c
x,y,z
-x,-y,z
x,-y,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x,y,-z
-x,y,z+1/2
x,-y,z+1/2

* 67:bca    D2h^21        Bmcm                        -B 2 2c
x,y,z
-x,-y,z
x,-y,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x,y,-z
-x,y,z+1/2
x,-y,z+1/2

* 67:a-cb   D2h^21        Bmam                        -B 2c 2
x,y,z
-x,-y,z+1/2
x,-y,-z
-x,y,-z+1/2
-x,-y,-z
x,y,-z+1/2
-x,y,z
x,-y,z+1/2

* 68:1      D2h^22        Ccca:1                       C 2 2 -1bc
x,y,z
-x,-y+1/2,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 68:2      D2h^22        Ccca:2                      -C 2b 2bc
x,y,z
-x,-y+1/2,z
x,-y+1/2,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x,y+1/2,-z
-x,y+1/2,z+1/2
x,-y,z+1/2

* 68:1ba-c  D2h^22        Cccb:1                       C 2 2 -1bc
x,y,z
-x,-y+1/2,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 68:2ba-c  D2h^22        Cccb:2                      -C 2b 2c
x,y,z
-x,-y+1/2,z
x,-y,-z+1/2
-x,y+1/2,-z+1/2
-x,-y,-z
x,y+1/2,-z
-x,y,z+1/2
x,-y+1/2,z+1/2

* 68:1cab   D2h^22        Abaa:1                       A 2 2 -1ac
x,y,z
-x+1/2,-y,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x+1/2,y,-z+1/2
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2

* 68:2cab   D2h^22        Abaa:2                      -A 2a 2c
x,y,z
-x+1/2,-y,z
x,-y,-z+1/2
-x+1/2,y,-z+1/2
-x,-y,-z
x+1/2,y,-z
-x,y,z+1/2
x+1/2,-y,z+1/2

* 68:1-cba  D2h^22        Acaa:1                       A 2 2 -1ac
x,y,z
-x+1/2,-y,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x+1/2,y,-z+1/2
-x+1/2,y,z+1/2
x+1/2,-y,z+1/2

* 68:2-cba  D2h^22        Acaa:2                      -A 2ac 2c
x,y,z
-x+1/2,-y,z+1/2
x,-y,-z+1/2
-x+1/2,y,-z
-x,-y,-z
x+1/2,y,-z+1/2
-x,y,z+1/2
x+1/2,-y,z

* 68:1bca   D2h^22        Bbcb:1                       B 2 2 -1bc
x,y,z
-x,-y+1/2,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 68:2bca   D2h^22        Bbcb:2                      -B 2bc 2b
x,y,z
-x,-y+1/2,z+1/2
x,-y+1/2,-z
-x,y,-z+1/2
-x,-y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z
x,-y,z+1/2

* 68:1a-cb  D2h^22        Bbab:1                       B 2 2 -1bc
x,y,z
-x,-y+1/2,-z+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x,y+1/2,-z+1/2
-x,y+1/2,z+1/2
x,-y+1/2,z+1/2

* 68:2a-cb  D2h^22        Bbab:2                      -B 2b 2bc
x,y,z
-x,-y+1/2,z
x,-y+1/2,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x,y+1/2,-z
-x,y+1/2,z+1/2
x,-y,z+1/2

* 69        D2h^23        Fmmm                        -F 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
x,y,-z
-x,y,z
x,-y,z

* 70:1      D2h^24        Fddd:1                       F 2 2 -1d
x,y,z
-x+1/4,-y+1/4,-z+1/4
-x,-y,z
x,-y,-z
-x,y,-z
x+1/4,y+1/4,-z+1/4
-x+1/4,y+1/4,z+1/4
x+1/4,-y+1/4,z+1/4

* 70:2      D2h^24        Fddd:2                      -F 2uv 2vw
x,y,z
-x+1/4,-y+1/4,z
x,-y+1/4,-z+1/4
-x+1/4,y,-z+1/4
-x,-y,-z
x+3/4,y+3/4,-z
-x,y+3/4,z+3/4
x+3/4,-y,z+3/4

* 71        D2h^25        Immm                        -I 2 2
x,y,z
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
x,y,-z
-x,y,z
x,-y,z

* 72        D2h^26        Ibam                        -I 2 2c
x,y,z
-x,-y,z
x,-y,-z+1/2
-x,y,-z+1/2
-x,-y,-z
x,y,-z
-x,y,z+1/2
x,-y,z+1/2

* 72:cab    D2h^26        Imcb                        -I 2a 2
x,y,z
-x+1/2,-y,z
x,-y,-z
-x+1/2,y,-z
-x,-y,-z
x+1/2,y,-z
-x,y,z
x+1/2,-y,z

* 72:bca    D2h^26        Icma                        -I 2b 2b
x,y,z
-x,-y+1/2,z
x,-y+1/2,-z
-x,y,-z
-x,-y,-z
x,y+1/2,-z
-x,y+1/2,z
x,-y,z

* 73        D2h^27        Ibca                        -I 2b 2c
x,y,z
-x,-y+1/2,z
x,-y,-z+1/2
-x+1/2,y,-z
-x,-y,-z
x,y+1/2,-z
-x,y,z+1/2
x+1/2,-y,z

* 73:ba-c   D2h^27        Icab                        -I 2a 2b
x,y,z
-x+1/2,-y,z
x,-y+1/2,-z
-x,y,-z+1/2
-x,-y,-z
x+1/2,y,-z
-x,y+1/2,z
x,-y,z+1/2

* 74        D2h^28        Imma                        -I 2b 2
x,y,z
-x,-y+1/2,z
x,-y,-z
-x,y+1/2,-z
-x,-y,-z
x,y+1/2,-z
-x,y,z
x,-y+1/2,z

* 74:ba-c   D2h^28        Immb                        -I 2a 2a
x,y,z
-x+1/2,-y,z
x+1/2,-y,-z
-x,y,-z
-x,-y,-z
x+1/2,y,-z
-x+1/2,y,z
x,-y,z

* 74:cab    D2h^28        Ibmm                        -I 2c 2c
x,y,z
-x,-y,z+1/2
x,-y,-z+1/2
-x,y,-z
-x,-y,-z
x,y,-z+1/2
-x,y,z+1/2
x,-y,z

* 74:-cba   D2h^28        Icmm                        -I 2 2b
x,y,z
-x,-y,z
x,-y+1/2,-z
-x,y+1/2,-z
-x,-y,-z
x,y,-z
-x,y+1/2,z
x,-y+1/2,z

* 74:bca    D2h^28        Imcm                        -I 2 2a
x,y,z
-x,-y,z
x+1/2,-y,-z
-x+1/2,y,-z
-x,-y,-z
x,y,-z
-x+1/2,y,z
x+1/2,-y,z

* 74:a-cb   D2h^28        Imam                        -I 2c 2
x,y,z
-x,-y,z+1/2
x,-y,-z
-x,y,-z+1/2
-x,-y,-z
x,y,-z+1/2
-x,y,z
x,-y,z+1/2

* 75        C4^1          P4                           P 4
x,y,z
-y,x,z
-x,-y,z
y,-x,z

* 76        C4^2          P41                          P 4w
x,y,z
-y,x,z+1/4
-x,-y,z+1/2
y,-x,z+3/4

* 77        C4^3          P42                          P 4c
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2

* 78        C4^4          P43                          P 4cw
x,y,z
-y,x,z+3/4
-x,-y,z+1/2
y,-x,z+1/4

* 79        C4^5          I4                           I 4
x,y,z
-y,x,z
-x,-y,z
y,-x,z

* 80        C4^6          I41                          I 4bw
x,y,z
-y,x+1/2,z+1/4
-x,-y,z
y,-x+1/2,z+1/4

* 81        S4^1          P-4                          P -4
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z

* 82        S4^2          I-4                          I -4
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z

* 83        C4h^1         P4/m                        -P 4
x,y,z
-y,x,z
-x,-y,z
y,-x,z
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z

* 84        C4h^2         P42/m                       -P 4c
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
-x,-y,-z
y,-x,-z+1/2
x,y,-z
-y,x,-z+1/2

* 85:1      C4h^3         P4/n:1                       P 4ab -1ab
x,y,z
-x+1/2,-y+1/2,-z
-y+1/2,x+1/2,z
-x,-y,z
y+1/2,-x+1/2,z
y,-x,-z
-y,x,-z
x+1/2,y+1/2,-z

* 85:2      C4h^3         P4/n:2                      -P 4a
x,y,z
-y+1/2,x,z
-x+1/2,-y+1/2,z
y,-x+1/2,z
-x,-y,-z
y+1/2,-x,-z
x+1/2,y+1/2,-z
-y,x+1/2,-z

* 86:1      C4h^4         P42/n:1                      P 4n -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
y,-x,-z
-y,x,-z
x+1/2,y+1/2,-z+1/2

* 86:2      C4h^4         P42/n:2                     -P 4bc
x,y,z
-y,x+1/2,z+1/2
-x+1/2,-y+1/2,z
y+1/2,-x,z+1/2
-x,-y,-z
y,-x+1/2,-z+1/2
x+1/2,y+1/2,-z
-y+1/2,x,-z+1/2

* 87        C4h^5         I4/m                        -I 4
x,y,z
-y,x,z
-x,-y,z
y,-x,z
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z

* 88:1      C4h^6         I41/a:1                      I 4bw -1bw
x,y,z
-x,-y+1/2,-z+1/4
-y,x+1/2,z+1/4
-x,-y,z
y,-x+1/2,z+1/4
y,-x,-z
-y,x,-z
x,y+1/2,-z+1/4

* 88:2      C4h^6         I41/a:2                     -I 4ad
x,y,z
-y+3/4,x+1/4,z+1/4
-x,-y+1/2,z
y+1/4,-x+1/4,z+1/4
-x,-y,-z
y+1/4,-x+3/4,-z+3/4
x,y+1/2,-z
-y+3/4,x+3/4,-z+3/4

* 89        D4^1          P422                         P 4 2
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-y,-z
-x,y,-z
y,x,-z
-y,-x,-z

* 90        D4^2          P4212                        P 4ab 2ab
x,y,z
-y+1/2,x+1/2,z
-x,-y,z
y+1/2,-x+1/2,z
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z
y,x,-z
-y,-x,-z

* 91        D4^3          P4122                        P 4w 2c
x,y,z
-y,x,z+1/4
-x,-y,z+1/2
y,-x,z+3/4
x,-y,-z+1/2
-x,y,-z
y,x,-z+3/4
-y,-x,-z+1/4

* 92        D4^4          P41212                       P 4abw 2nw
x,y,z
-y+1/2,x+1/2,z+1/4
-x,-y,z+1/2
y+1/2,-x+1/2,z+3/4
x+1/2,-y+1/2,-z+3/4
-x+1/2,y+1/2,-z+1/4
y,x,-z
-y,-x,-z+1/2

* 93        D4^5          P4222                        P 4c 2
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
x,-y,-z
-x,y,-z
y,x,-z+1/2
-y,-x,-z+1/2

* 94        D4^6          P42212                       P 4n 2n
x,y,z
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
y,x,-z
-y,-x,-z

* 95        D4^7          P4322                        P 4cw 2c
x,y,z
-y,x,z+3/4
-x,-y,z+1/2
y,-x,z+1/4
x,-y,-z+1/2
-x,y,-z
y,x,-z+1/4
-y,-x,-z+3/4

* 96        D4^8          P43212                       P 4nw 2abw
x,y,z
-y+1/2,x+1/2,z+3/4
-x,-y,z+1/2
y+1/2,-x+1/2,z+1/4
x+1/2,-y+1/2,-z+1/4
-x+1/2,y+1/2,-z+3/4
y,x,-z
-y,-x,-z+1/2

* 97        D4^9          I422                         I 4 2
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-y,-z
-x,y,-z
y,x,-z
-y,-x,-z

* 98        D4^10         I4122                        I 4bw 2bw
x,y,z
-y,x+1/2,z+1/4
-x,-y,z
y,-x+1/2,z+1/4
x,-y+1/2,-z+1/4
-x,y+1/2,-z+1/4
y,x,-z
-y,-x,-z

* 99        C4v^1         P4mm                         P 4 -2
x,y,z
-y,x,z
-x,-y,z
y,-x,z
-x,y,z
x,-y,z
-y,-x,z
y,x,z

*100        C4v^2         P4bm                         P 4 -2ab
x,y,z
-y,x,z
-x,-y,z
y,-x,z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-y+1/2,-x+1/2,z
y+1/2,x+1/2,z

*101        C4v^3         P42cm                        P 4c -2c
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
-x,y,z+1/2
x,-y,z+1/2
-y,-x,z
y,x,z

*102        C4v^4         P42nm                        P 4n -2n
x,y,z
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-y,-x,z
y,x,z

*103        C4v^5         P4cc                         P 4 -2c
x,y,z
-y,x,z
-x,-y,z
y,-x,z
-x,y,z+1/2
x,-y,z+1/2
-y,-x,z+1/2
y,x,z+1/2

*104        C4v^6         P4nc                         P 4 -2n
x,y,z
-y,x,z
-x,-y,z
y,-x,z
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2

*105        C4v^7         P42mc                        P 4c -2
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
-x,y,z
x,-y,z
-y,-x,z+1/2
y,x,z+1/2

*106        C4v^8         P42bc                        P 4c -2ab
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2

*107        C4v^9         I4mm                         I 4 -2
x,y,z
-y,x,z
-x,-y,z
y,-x,z
-x,y,z
x,-y,z
-y,-x,z
y,x,z

*108        C4v^10        I4cm                         I 4 -2c
x,y,z
-y,x,z
-x,-y,z
y,-x,z
-x,y,z+1/2
x,-y,z+1/2
-y,-x,z+1/2
y,x,z+1/2

*109        C4v^11        I41md                        I 4bw -2
x,y,z
-y,x+1/2,z+1/4
-x,-y,z
y,-x+1/2,z+1/4
-x,y,z
x,-y,z
-y,-x+1/2,z+1/4
y,x+1/2,z+1/4

*110        C4v^12        I41cd                        I 4bw -2c
x,y,z
-y,x+1/2,z+1/4
-x,-y,z
y,-x+1/2,z+1/4
-x,y,z+1/2
x,-y,z+1/2
-y+1/2,-x,z+1/4
y+1/2,x,z+1/4

*111        D2d^1         P-42m                        P -4 2
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
x,-y,-z
-x,y,-z
-y,-x,z
y,x,z

*112        D2d^2         P-42c                        P -4 2c
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
x,-y,-z+1/2
-x,y,-z+1/2
-y,-x,z+1/2
y,x,z+1/2

*113        D2d^3         P-421m                       P -4 2ab
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z
-y+1/2,-x+1/2,z
y+1/2,x+1/2,z

*114        D2d^4         P-421c                       P -4 2n
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
x+1/2,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2

*115        D2d^5         P-4m2                        P -4 -2
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
y,x,-z
-y,-x,-z
-x,y,z
x,-y,z

*116        D2d^6         P-4c2                        P -4 -2c
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
y,x,-z+1/2
-y,-x,-z+1/2
-x,y,z+1/2
x,-y,z+1/2

*117        D2d^7         P-4b2                        P -4 -2ab
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
y+1/2,x+1/2,-z
-y+1/2,-x+1/2,-z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z

*118        D2d^8         P-4n2                        P -4 -2n
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
y+1/2,x+1/2,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2

*119        D2d^9         I-4m2                        I -4 -2
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
y,x,-z
-y,-x,-z
-x,y,z
x,-y,z

*120        D2d^10        I-4c2                        I -4 -2c
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
y,x,-z+1/2
-y,-x,-z+1/2
-x,y,z+1/2
x,-y,z+1/2

*121        D2d^11        I-42m                        I -4 2
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
x,-y,-z
-x,y,-z
-y,-x,z
y,x,z

*122        D2d^12        I-42d                        I -4 2bw
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
x,-y+1/2,-z+1/4
-x,y+1/2,-z+1/4
-y,-x+1/2,z+1/4
y,x+1/2,z+1/4

*123        D4h^1         P4/mmm                      -P 4 2
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-y,-z
-x,y,-z
y,x,-z
-y,-x,-z
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x,y,z
x,-y,z
-y,-x,z
y,x,z

*124        D4h^2         P4/mcc                      -P 4 2c
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-y,-z+1/2
-x,y,-z+1/2
y,x,-z+1/2
-y,-x,-z+1/2
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x,y,z+1/2
x,-y,z+1/2
-y,-x,z+1/2
y,x,z+1/2

*125:1      D4h^3         P4/nbm:1                     P 4 2 -1ab
x,y,z
-x+1/2,-y+1/2,-z
-y,x,z
-x,-y,z
y,-x,z
y+1/2,-x+1/2,-z
-y+1/2,x+1/2,-z
x,-y,-z
-x,y,-z
y,x,-z
-y,-x,-z
x+1/2,y+1/2,-z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-y+1/2,-x+1/2,z
y+1/2,x+1/2,z

*125:2      D4h^3         P4/nbm:2                    -P 4a 2b
x,y,z
-y+1/2,x,z
-x+1/2,-y+1/2,z
y,-x+1/2,z
x,-y+1/2,-z
-x+1/2,y,-z
y,x,-z
-y+1/2,-x+1/2,-z
-x,-y,-z
y+1/2,-x,-z
x+1/2,y+1/2,-z
-y,x+1/2,-z
-x,y+1/2,z
x+1/2,-y,z
-y,-x,z
y+1/2,x+1/2,z

*126:1      D4h^4         P4/nnc:1                     P 4 2 -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-y,x,z
-x,-y,z
y,-x,z
y+1/2,-x+1/2,-z+1/2
-y+1/2,x+1/2,-z+1/2
x,-y,-z
-x,y,-z
y,x,-z
-y,-x,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2

*126:2      D4h^4         P4/nnc:2                    -P 4a 2bc
x,y,z
-y+1/2,x,z
-x+1/2,-y+1/2,z
y,-x+1/2,z
x,-y+1/2,-z+1/2
-x+1/2,y,-z+1/2
y,x,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x,-y,-z
y+1/2,-x,-z
x+1/2,y+1/2,-z
-y,x+1/2,-z
-x,y+1/2,z+1/2
x+1/2,-y,z+1/2
-y,-x,z+1/2
y+1/2,x+1/2,z+1/2

*127        D4h^5         P4/mbm                      -P 4 2ab
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z
y+1/2,x+1/2,-z
-y+1/2,-x+1/2,-z
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-y+1/2,-x+1/2,z
y+1/2,x+1/2,z

*128        D4h^6         P4/mnc                      -P 4 2n
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x+1/2,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
y+1/2,x+1/2,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2

*129:1      D4h^7         P4/nmm:1                     P 4ab 2ab -1ab
x,y,z
-x+1/2,-y+1/2,-z
-y+1/2,x+1/2,z
-x,-y,z
y+1/2,-x+1/2,z
y,-x,-z
-y,x,-z
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z
y,x,-z
-y,-x,-z
x+1/2,y+1/2,-z
-x,y,z
x,-y,z
-y+1/2,-x+1/2,z
y+1/2,x+1/2,z

*129:2      D4h^7         P4/nmm:2                    -P 4a 2a
x,y,z
-y+1/2,x,z
-x+1/2,-y+1/2,z
y,-x+1/2,z
x+1/2,-y,-z
-x,y+1/2,-z
y+1/2,x+1/2,-z
-y,-x,-z
-x,-y,-z
y+1/2,-x,-z
x+1/2,y+1/2,-z
-y,x+1/2,-z
-x+1/2,y,z
x,-y+1/2,z
-y+1/2,-x+1/2,z
y,x,z

*130:1      D4h^8         P4/ncc:1                     P 4ab 2n -1ab
x,y,z
-x+1/2,-y+1/2,-z
-y+1/2,x+1/2,z
-x,-y,z
y+1/2,-x+1/2,z
y,-x,-z
-y,x,-z
x+1/2,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
y,x,-z+1/2
-y,-x,-z+1/2
x+1/2,y+1/2,-z
-x,y,z+1/2
x,-y,z+1/2
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2

*130:2      D4h^8         P4/ncc:2                    -P 4a 2ac
x,y,z
-y+1/2,x,z
-x+1/2,-y+1/2,z
y,-x+1/2,z
x+1/2,-y,-z+1/2
-x,y+1/2,-z+1/2
y+1/2,x+1/2,-z+1/2
-y,-x,-z+1/2
-x,-y,-z
y+1/2,-x,-z
x+1/2,y+1/2,-z
-y,x+1/2,-z
-x+1/2,y,z+1/2
x,-y+1/2,z+1/2
-y+1/2,-x+1/2,z+1/2
y,x,z+1/2

*131        D4h^9         P42/mmc                     -P 4c 2
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
x,-y,-z
-x,y,-z
y,x,-z+1/2
-y,-x,-z+1/2
-x,-y,-z
y,-x,-z+1/2
x,y,-z
-y,x,-z+1/2
-x,y,z
x,-y,z
-y,-x,z+1/2
y,x,z+1/2

*132        D4h^10        P42/mcm                     -P 4c 2c
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
x,-y,-z+1/2
-x,y,-z+1/2
y,x,-z
-y,-x,-z
-x,-y,-z
y,-x,-z+1/2
x,y,-z
-y,x,-z+1/2
-x,y,z+1/2
x,-y,z+1/2
-y,-x,z
y,x,z

*133:1      D4h^11        P42/nbc:1                    P 4n 2c -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
y,-x,-z
-y,x,-z
x,-y,-z+1/2
-x,y,-z+1/2
y+1/2,x+1/2,-z
-y+1/2,-x+1/2,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-y,-x,z+1/2
y,x,z+1/2

*133:2      D4h^11        P42/nbc:2                   -P 4ac 2b
x,y,z
-y+1/2,x,z+1/2
-x+1/2,-y+1/2,z
y,-x+1/2,z+1/2
x,-y+1/2,-z
-x+1/2,y,-z
y,x,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x,-y,-z
y+1/2,-x,-z+1/2
x+1/2,y+1/2,-z
-y,x+1/2,-z+1/2
-x,y+1/2,z
x+1/2,-y,z
-y,-x,z+1/2
y+1/2,x+1/2,z+1/2

*134:1      D4h^12        P42/nnm:1                    P 4n 2 -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
y,-x,-z
-y,x,-z
x,-y,-z
-x,y,-z
y+1/2,x+1/2,-z+1/2
-y+1/2,-x+1/2,-z+1/2
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-y,-x,z
y,x,z

*134:2      D4h^12        P42/nnm:2                   -P 4ac 2bc
x,y,z
-y+1/2,x,z+1/2
-x+1/2,-y+1/2,z
y,-x+1/2,z+1/2
x,-y+1/2,-z+1/2
-x+1/2,y,-z+1/2
y,x,-z
-y+1/2,-x+1/2,-z
-x,-y,-z
y+1/2,-x,-z+1/2
x+1/2,y+1/2,-z
-y,x+1/2,-z+1/2
-x,y+1/2,z+1/2
x+1/2,-y,z+1/2
-y,-x,z
y+1/2,x+1/2,z

*135        D4h^13        P42/mbc                     -P 4c 2ab
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z
y+1/2,x+1/2,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x,-y,-z
y,-x,-z+1/2
x,y,-z
-y,x,-z+1/2
-x+1/2,y+1/2,z
x+1/2,-y+1/2,z
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2

*136        D4h^14        P42/mnm                     -P 4n 2n
x,y,z
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
x+1/2,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
y,x,-z
-y,-x,-z
-x,-y,-z
y+1/2,-x+1/2,-z+1/2
x,y,-z
-y+1/2,x+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-y,-x,z
y,x,z

*137:1      D4h^15        P42/nmc:1                    P 4n 2n -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
y,-x,-z
-y,x,-z
x+1/2,-y+1/2,-z+1/2
-x+1/2,y+1/2,-z+1/2
y,x,-z
-y,-x,-z
x+1/2,y+1/2,-z+1/2
-x,y,z
x,-y,z
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2

*137:2      D4h^15        P42/nmc:2                   -P 4ac 2a
x,y,z
-y+1/2,x,z+1/2
-x+1/2,-y+1/2,z
y,-x+1/2,z+1/2
x+1/2,-y,-z
-x,y+1/2,-z
y+1/2,x+1/2,-z+1/2
-y,-x,-z+1/2
-x,-y,-z
y+1/2,-x,-z+1/2
x+1/2,y+1/2,-z
-y,x+1/2,-z+1/2
-x+1/2,y,z
x,-y+1/2,z
-y+1/2,-x+1/2,z+1/2
y,x,z+1/2

*138:1      D4h^16        P42/ncm:1                    P 4n 2ab -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
y,-x,-z
-y,x,-z
x+1/2,-y+1/2,-z
-x+1/2,y+1/2,-z
y,x,-z+1/2
-y,-x,-z+1/2
x+1/2,y+1/2,-z+1/2
-x,y,z+1/2
x,-y,z+1/2
-y+1/2,-x+1/2,z
y+1/2,x+1/2,z

*138:2      D4h^16        P42/ncm:2                   -P 4ac 2ac
x,y,z
-y+1/2,x,z+1/2
-x+1/2,-y+1/2,z
y,-x+1/2,z+1/2
x+1/2,-y,-z+1/2
-x,y+1/2,-z+1/2
y+1/2,x+1/2,-z
-y,-x,-z
-x,-y,-z
y+1/2,-x,-z+1/2
x+1/2,y+1/2,-z
-y,x+1/2,-z+1/2
-x+1/2,y,z+1/2
x,-y+1/2,z+1/2
-y+1/2,-x+1/2,z
y,x,z

*139        D4h^17        I4/mmm                      -I 4 2
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-y,-z
-x,y,-z
y,x,-z
-y,-x,-z
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x,y,z
x,-y,z
-y,-x,z
y,x,z

*140        D4h^18        I4/mcm                      -I 4 2c
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-y,-z+1/2
-x,y,-z+1/2
y,x,-z+1/2
-y,-x,-z+1/2
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x,y,z+1/2
x,-y,z+1/2
-y,-x,z+1/2
y,x,z+1/2

*141:1      D4h^19        I41/amd:1                    I 4bw 2bw -1bw
x,y,z
-x,-y+1/2,-z+1/4
-y,x+1/2,z+1/4
-x,-y,z
y,-x+1/2,z+1/4
y,-x,-z
-y,x,-z
x,-y+1/2,-z+1/4
-x,y+1/2,-z+1/4
y,x,-z
-y,-x,-z
x,y+1/2,-z+1/4
-x,y,z
x,-y,z
-y,-x+1/2,z+1/4
y,x+1/2,z+1/4

*141:2      D4h^19        I41/amd:2                   -I 4bd 2
x,y,z
-y+1/4,x+3/4,z+1/4
-x,-y+1/2,z
y+1/4,-x+1/4,z+3/4
x,-y,-z
-x,y+1/2,-z
y+1/4,x+3/4,-z+1/4
-y+1/4,-x+1/4,-z+3/4
-x,-y,-z
y+3/4,-x+1/4,-z+3/4
x,y+1/2,-z
-y+3/4,x+3/4,-z+1/4
-x,y,z
x,-y+1/2,z
-y+3/4,-x+1/4,z+3/4
y+3/4,x+3/4,z+1/4

*142:1      D4h^20        I41/acd:1                    I 4bw 2aw -1bw
x,y,z
-x,-y+1/2,-z+1/4
-y,x+1/2,z+1/4
-x,-y,z
y,-x+1/2,z+1/4
y,-x,-z
-y,x,-z
x+1/2,-y,-z+1/4
-x+1/2,y,-z+1/4
y,x,-z+1/2
-y,-x,-z+1/2
x,y+1/2,-z+1/4
-x,y,z+1/2
x,-y,z+1/2
-y+1/2,-x,z+1/4
y+1/2,x,z+1/4

*142:2      D4h^20        I41/acd:2                   -I 4bd 2c
x,y,z
-y+1/4,x+3/4,z+1/4
-x,-y+1/2,z
y+1/4,-x+1/4,z+3/4
x,-y,-z+1/2
-x+1/2,y,-z
y+3/4,x+1/4,-z+1/4
-y+1/4,-x+1/4,-z+1/4
-x,-y,-z
y+3/4,-x+1/4,-z+3/4
x,y+1/2,-z
-y+3/4,x+3/4,-z+1/4
-x,y,z+1/2
x+1/2,-y,z
-y+1/4,-x+3/4,z+3/4
y+3/4,x+3/4,z+3/4

*143        C3^1          P3                           P 3
x,y,z
-y,x-y,z
-x+y,-x,z

*144        C3^2          P31                          P 31
x,y,z
-y,x-y,z+1/3
-x+y,-x,z+2/3

*145        C3^3          P32                          P 32
x,y,z
-y,x-y,z+2/3
-x+y,-x,z+1/3

*146:H      C3^4          R3:H                         R 3
x,y,z
-y,x-y,z
-x+y,-x,z

*146:R      C3^4          R3:R                         P 3*
x,y,z
z,x,y
y,z,x

*147        C3i^1         P-3                         -P 3
x,y,z
-y,x-y,z
-x+y,-x,z
-x,-y,-z
y,-x+y,-z
x-y,x,-z

*148:H      C3i^2         R-3:H                       -R 3
x,y,z
-y,x-y,z
-x+y,-x,z
-x,-y,-z
y,-x+y,-z
x-y,x,-z

*148:R      C3i^2         R-3:R                       -P 3*
x,y,z
z,x,y
y,z,x
-x,-y,-z
-z,-x,-y
-y,-z,-x

*149        D3^1          P312                         P 3 2
x,y,z
-y,x-y,z
-x+y,-x,z
-y,-x,-z
-x+y,y,-z
x,x-y,-z

*150        D3^2          P321                         P 3 2"
x,y,z
-y,x-y,z
-x+y,-x,z
x-y,-y,-z
-x,-x+y,-z
y,x,-z

*151        D3^3          P3112                        P 31 2c (0 0 1)
x,y,z
-y,x-y,z+1/3
-x+y,-x,z+2/3
-y,-x,-z+2/3
-x+y,y,-z+1/3
x,x-y,-z

*152        D3^4          P3121                        P 31 2"
x,y,z
-y,x-y,z+1/3
-x+y,-x,z+2/3
x-y,-y,-z+2/3
-x,-x+y,-z+1/3
y,x,-z

*153        D3^5          P3212                        P 32 2c (0 0 -1)
x,y,z
-y,x-y,z+2/3
-x+y,-x,z+1/3
-y,-x,-z+1/3
-x+y,y,-z+2/3
x,x-y,-z

*154        D3^6          P3221                        P 32 2"
x,y,z
-y,x-y,z+2/3
-x+y,-x,z+1/3
x-y,-y,-z+1/3
-x,-x+y,-z+2/3
y,x,-z

*155:H      D3^7          R32:H                        R 3 2"
x,y,z
-y,x-y,z
-x+y,-x,z
x-y,-y,-z
-x,-x+y,-z
y,x,-z

*155:R      D3^7          R32:R                        P 3* 2
x,y,z
z,x,y
y,z,x
-y,-x,-z
-x,-z,-y
-z,-y,-x

*156        C3v^1         P3m1                         P 3 -2"
x,y,z
-y,x-y,z
-x+y,-x,z
-x+y,y,z
x,x-y,z
-y,-x,z

*157        C3v^2         P31m                         P 3 -2
x,y,z
-y,x-y,z
-x+y,-x,z
y,x,z
x-y,-y,z
-x,-x+y,z

*158        C3v^3         P3c1                         P 3 -2"c
x,y,z
-y,x-y,z
-x+y,-x,z
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2

*159        C3v^4         P31c                         P 3 -2c
x,y,z
-y,x-y,z
-x+y,-x,z
y,x,z+1/2
x-y,-y,z+1/2
-x,-x+y,z+1/2

*160:H      C3v^5         R3m:H                        R 3 -2"
x,y,z
-y,x-y,z
-x+y,-x,z
-x+y,y,z
x,x-y,z
-y,-x,z

*160:R      C3v^5         R3m:R                        P 3* -2
x,y,z
z,x,y
y,z,x
y,x,z
x,z,y
z,y,x

*161:H      C3v^6         R3c:H                        R 3 -2"c
x,y,z
-y,x-y,z
-x+y,-x,z
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2

*161:R      C3v^6         R3c:R                        P 3* -2n
x,y,z
z,x,y
y,z,x
y+1/2,x+1/2,z+1/2
x+1/2,z+1/2,y+1/2
z+1/2,y+1/2,x+1/2

*162        D3d^1         P-31m                       -P 3 2
x,y,z
-y,x-y,z
-x+y,-x,z
-y,-x,-z
-x+y,y,-z
x,x-y,-z
-x,-y,-z
y,-x+y,-z
x-y,x,-z
y,x,z
x-y,-y,z
-x,-x+y,z

*163        D3d^2         P-31c                       -P 3 2c
x,y,z
-y,x-y,z
-x+y,-x,z
-y,-x,-z+1/2
-x+y,y,-z+1/2
x,x-y,-z+1/2
-x,-y,-z
y,-x+y,-z
x-y,x,-z
y,x,z+1/2
x-y,-y,z+1/2
-x,-x+y,z+1/2

*164        D3d^3         P-3m1                       -P 3 2"
x,y,z
-y,x-y,z
-x+y,-x,z
x-y,-y,-z
-x,-x+y,-z
y,x,-z
-x,-y,-z
y,-x+y,-z
x-y,x,-z
-x+y,y,z
x,x-y,z
-y,-x,z

*165        D3d^4         P-3c1                       -P 3 2"c
x,y,z
-y,x-y,z
-x+y,-x,z
x-y,-y,-z+1/2
-x,-x+y,-z+1/2
y,x,-z+1/2
-x,-y,-z
y,-x+y,-z
x-y,x,-z
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2

*166:H      D3d^5         R-3m:H                      -R 3 2"
x,y,z
-y,x-y,z
-x+y,-x,z
x-y,-y,-z
-x,-x+y,-z
y,x,-z
-x,-y,-z
y,-x+y,-z
x-y,x,-z
-x+y,y,z
x,x-y,z
-y,-x,z

*166:R      D3d^5         R-3m:R                      -P 3* 2
x,y,z
z,x,y
y,z,x
-y,-x,-z
-x,-z,-y
-z,-y,-x
-x,-y,-z
-z,-x,-y
-y,-z,-x
y,x,z
x,z,y
z,y,x

*167:H      D3d^6         R-3c:H                      -R 3 2"c
x,y,z
-y,x-y,z
-x+y,-x,z
x-y,-y,-z+1/2
-x,-x+y,-z+1/2
y,x,-z+1/2
-x,-y,-z
y,-x+y,-z
x-y,x,-z
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2

*167:R      D3d^6         R-3c:R                      -P 3* 2n
x,y,z
z,x,y
y,z,x
-y+1/2,-x+1/2,-z+1/2
-x+1/2,-z+1/2,-y+1/2
-z+1/2,-y+1/2,-x+1/2
-x,-y,-z
-z,-x,-y
-y,-z,-x
y+1/2,x+1/2,z+1/2
x+1/2,z+1/2,y+1/2
z+1/2,y+1/2,x+1/2

*168        C6^1          P6                           P 6
x,y,z
x-y,x,z
-y,x-y,z
-x,-y,z
-x+y,-x,z
y,-x+y,z

*169        C6^2          P61                          P 61
x,y,z
x-y,x,z+1/6
-y,x-y,z+1/3
-x,-y,z+1/2
-x+y,-x,z+2/3
y,-x+y,z+5/6

*170        C6^3          P65                          P 65
x,y,z
x-y,x,z+5/6
-y,x-y,z+2/3
-x,-y,z+1/2
-x+y,-x,z+1/3
y,-x+y,z+1/6

*171        C6^4          P62                          P 62
x,y,z
x-y,x,z+1/3
-y,x-y,z+2/3
-x,-y,z
-x+y,-x,z+1/3
y,-x+y,z+2/3

*172        C6^5          P64                          P 64
x,y,z
x-y,x,z+2/3
-y,x-y,z+1/3
-x,-y,z
-x+y,-x,z+2/3
y,-x+y,z+1/3

*173        C6^6          P63                          P 6c
x,y,z
x-y,x,z+1/2
-y,x-y,z
-x,-y,z+1/2
-x+y,-x,z
y,-x+y,z+1/2

*174        C3h^1         P-6                          P -6
x,y,z
-x+y,-x,-z
-y,x-y,z
x,y,-z
-x+y,-x,z
-y,x-y,-z

*175        C6h^1         P6/m                        -P 6
x,y,z
x-y,x,z
-y,x-y,z
-x,-y,z
-x+y,-x,z
y,-x+y,z
-x,-y,-z
-x+y,-x,-z
y,-x+y,-z
x,y,-z
x-y,x,-z
-y,x-y,-z

*176        C6h^2         P63/m                       -P 6c
x,y,z
x-y,x,z+1/2
-y,x-y,z
-x,-y,z+1/2
-x+y,-x,z
y,-x+y,z+1/2
-x,-y,-z
-x+y,-x,-z+1/2
y,-x+y,-z
x,y,-z+1/2
x-y,x,-z
-y,x-y,-z+1/2

*177        D6^1          P622                         P 6 2
x,y,z
x-y,x,z
-y,x-y,z
-x,-y,z
-x+y,-x,z
y,-x+y,z
x-y,-y,-z
-x,-x+y,-z
y,x,-z
-y,-x,-z
-x+y,y,-z
x,x-y,-z

*178        D6^2          P6122                        P 61 2 (0 0 -1)
x,y,z
x-y,x,z+1/6
-y,x-y,z+1/3
-x,-y,z+1/2
-x+y,-x,z+2/3
y,-x+y,z+5/6
x-y,-y,-z
-x,-x+y,-z+2/3
y,x,-z+1/3
-y,-x,-z+5/6
-x+y,y,-z+1/2
x,x-y,-z+1/6

*179        D6^3          P6522                        P 65 2 (0 0 1)
x,y,z
x-y,x,z+5/6
-y,x-y,z+2/3
-x,-y,z+1/2
-x+y,-x,z+1/3
y,-x+y,z+1/6
x-y,-y,-z
-x,-x+y,-z+1/3
y,x,-z+2/3
-y,-x,-z+1/6
-x+y,y,-z+1/2
x,x-y,-z+5/6

*180        D6^4          P6222                        P 62 2c (0 0 1)
x,y,z
x-y,x,z+1/3
-y,x-y,z+2/3
-x,-y,z
-x+y,-x,z+1/3
y,-x+y,z+2/3
x-y,-y,-z
-x,-x+y,-z+1/3
y,x,-z+2/3
-y,-x,-z+2/3
-x+y,y,-z
x,x-y,-z+1/3

*181        D6^5          P6422                        P 64 2c (0 0 -1)
x,y,z
x-y,x,z+2/3
-y,x-y,z+1/3
-x,-y,z
-x+y,-x,z+2/3
y,-x+y,z+1/3
x-y,-y,-z
-x,-x+y,-z+2/3
y,x,-z+1/3
-y,-x,-z+1/3
-x+y,y,-z
x,x-y,-z+2/3

*182        D6^6          P6322                        P 6c 2c
x,y,z
x-y,x,z+1/2
-y,x-y,z
-x,-y,z+1/2
-x+y,-x,z
y,-x+y,z+1/2
x-y,-y,-z
-x,-x+y,-z
y,x,-z
-y,-x,-z+1/2
-x+y,y,-z+1/2
x,x-y,-z+1/2

*183        C6v^1         P6mm                         P 6 -2
x,y,z
x-y,x,z
-y,x-y,z
-x,-y,z
-x+y,-x,z
y,-x+y,z
-x+y,y,z
x,x-y,z
-y,-x,z
y,x,z
x-y,-y,z
-x,-x+y,z

*184        C6v^2         P6cc                         P 6 -2c
x,y,z
x-y,x,z
-y,x-y,z
-x,-y,z
-x+y,-x,z
y,-x+y,z
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2
y,x,z+1/2
x-y,-y,z+1/2
-x,-x+y,z+1/2

*185        C6v^3         P63cm                        P 6c -2
x,y,z
x-y,x,z+1/2
-y,x-y,z
-x,-y,z+1/2
-x+y,-x,z
y,-x+y,z+1/2
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2
y,x,z
x-y,-y,z
-x,-x+y,z

*186        C6v^4         P63mc                        P 6c -2c
x,y,z
x-y,x,z+1/2
-y,x-y,z
-x,-y,z+1/2
-x+y,-x,z
y,-x+y,z+1/2
-x+y,y,z
x,x-y,z
-y,-x,z
y,x,z+1/2
x-y,-y,z+1/2
-x,-x+y,z+1/2

*187        D3h^1         P-6m2                        P -6 2
x,y,z
-x+y,-x,-z
-y,x-y,z
x,y,-z
-x+y,-x,z
-y,x-y,-z
-y,-x,-z
-x+y,y,-z
x,x-y,-z
-x+y,y,z
x,x-y,z
-y,-x,z

*188        D3h^2         P-6c2                        P -6c 2
x,y,z
-x+y,-x,-z+1/2
-y,x-y,z
x,y,-z+1/2
-x+y,-x,z
-y,x-y,-z+1/2
-y,-x,-z
-x+y,y,-z
x,x-y,-z
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2

*189        D3h^3         P-62m                        P -6 -2
x,y,z
-x+y,-x,-z
-y,x-y,z
x,y,-z
-x+y,-x,z
-y,x-y,-z
x-y,-y,-z
-x,-x+y,-z
y,x,-z
y,x,z
x-y,-y,z
-x,-x+y,z

*190        D3h^4         P-62c                        P -6c -2c
x,y,z
-x+y,-x,-z+1/2
-y,x-y,z
x,y,-z+1/2
-x+y,-x,z
-y,x-y,-z+1/2
x-y,-y,-z
-x,-x+y,-z
y,x,-z
y,x,z+1/2
x-y,-y,z+1/2
-x,-x+y,z+1/2

*191        D6h^1         P6/mmm                      -P 6 2
x,y,z
x-y,x,z
-y,x-y,z
-x,-y,z
-x+y,-x,z
y,-x+y,z
x-y,-y,-z
-x,-x+y,-z
y,x,-z
-y,-x,-z
-x+y,y,-z
x,x-y,-z
-x,-y,-z
-x+y,-x,-z
y,-x+y,-z
x,y,-z
x-y,x,-z
-y,x-y,-z
-x+y,y,z
x,x-y,z
-y,-x,z
y,x,z
x-y,-y,z
-x,-x+y,z

*192        D6h^2         P6/mcc                      -P 6 2c
x,y,z
x-y,x,z
-y,x-y,z
-x,-y,z
-x+y,-x,z
y,-x+y,z
x-y,-y,-z+1/2
-x,-x+y,-z+1/2
y,x,-z+1/2
-y,-x,-z+1/2
-x+y,y,-z+1/2
x,x-y,-z+1/2
-x,-y,-z
-x+y,-x,-z
y,-x+y,-z
x,y,-z
x-y,x,-z
-y,x-y,-z
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2
y,x,z+1/2
x-y,-y,z+1/2
-x,-x+y,z+1/2

*193        D6h^3         P63/mcm                     -P 6c 2
x,y,z
x-y,x,z+1/2
-y,x-y,z
-x,-y,z+1/2
-x+y,-x,z
y,-x+y,z+1/2
x-y,-y,-z+1/2
-x,-x+y,-z+1/2
y,x,-z+1/2
-y,-x,-z
-x+y,y,-z
x,x-y,-z
-x,-y,-z
-x+y,-x,-z+1/2
y,-x+y,-z
x,y,-z+1/2
x-y,x,-z
-y,x-y,-z+1/2
-x+y,y,z+1/2
x,x-y,z+1/2
-y,-x,z+1/2
y,x,z
x-y,-y,z
-x,-x+y,z

*194        D6h^4         P63/mmc                     -P 6c 2c
x,y,z
x-y,x,z+1/2
-y,x-y,z
-x,-y,z+1/2
-x+y,-x,z
y,-x+y,z+1/2
x-y,-y,-z
-x,-x+y,-z
y,x,-z
-y,-x,-z+1/2
-x+y,y,-z+1/2
x,x-y,-z+1/2
-x,-y,-z
-x+y,-x,-z+1/2
y,-x+y,-z
x,y,-z+1/2
x-y,x,-z
-y,x-y,-z+1/2
-x+y,y,z
x,x-y,z
-y,-x,z
y,x,z+1/2
x-y,-y,z+1/2
-x,-x+y,z+1/2

*195        T^1           P23                          P 2 2 3
x,y,z
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-x,-y,z
x,-y,-z
-x,y,-z

*196        T^2           F23                          F 2 2 3
x,y,z
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-x,-y,z
x,-y,-z
-x,y,-z

*197        T^3           I23                          I 2 2 3
x,y,z
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-x,-y,z
x,-y,-z
-x,y,-z

*198        T^4           P213                         P 2ac 2ab 3
x,y,z
z,x,y
y,z,x
-y+1/2,-z,x+1/2
z+1/2,-x+1/2,-y
-y,z+1/2,-x+1/2
-z+1/2,-x,y+1/2
-z,x+1/2,-y+1/2
y+1/2,-z+1/2,-x
-x+1/2,-y,z+1/2
x+1/2,-y+1/2,-z
-x,y+1/2,-z+1/2

*199        T^5           I213                         I 2b 2c 3
x,y,z
z,x,y
y,z,x
-y,-z+1/2,x
z,-x,-y+1/2
-y+1/2,z,-x
-z,-x+1/2,y
-z+1/2,x,-y
y,-z,-x+1/2
-x,-y+1/2,z
x,-y,-z+1/2
-x+1/2,y,-z

*200        Th^1          Pm-3                        -P 2 2 3
x,y,z
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
-z,-x,-y
-y,-z,-x
y,z,-x
-z,x,y
y,-z,x
z,x,-y
z,-x,y
-y,z,x
x,y,-z
-x,y,z
x,-y,z

*201:1      Th^2          Pn-3:1                       P 2 2 3 -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-z+1/2,-x+1/2,-y+1/2
-y+1/2,-z+1/2,-x+1/2
y+1/2,z+1/2,-x+1/2
-z+1/2,x+1/2,y+1/2
y+1/2,-z+1/2,x+1/2
z+1/2,x+1/2,-y+1/2
z+1/2,-x+1/2,y+1/2
-y+1/2,z+1/2,x+1/2
-x,-y,z
x,-y,-z
-x,y,-z
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2

*201:2      Th^2          Pn-3:2                      -P 2ab 2bc 3
x,y,z
z,x,y
y,z,x
-y+1/2,-z+1/2,x
z,-x+1/2,-y+1/2
-y+1/2,z,-x+1/2
-z+1/2,-x+1/2,y
-z+1/2,x,-y+1/2
y,-z+1/2,-x+1/2
-x+1/2,-y+1/2,z
x,-y+1/2,-z+1/2
-x+1/2,y,-z+1/2
-x,-y,-z
-z,-x,-y
-y,-z,-x
y+1/2,z+1/2,-x
-z,x+1/2,y+1/2
y+1/2,-z,x+1/2
z+1/2,x+1/2,-y
z+1/2,-x,y+1/2
-y,z+1/2,x+1/2
x+1/2,y+1/2,-z
-x,y+1/2,z+1/2
x+1/2,-y,z+1/2

*202        Th^3          Fm-3                        -F 2 2 3
x,y,z
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
-z,-x,-y
-y,-z,-x
y,z,-x
-z,x,y
y,-z,x
z,x,-y
z,-x,y
-y,z,x
x,y,-z
-x,y,z
x,-y,z

*203:1      Th^4          Fd-3:1                       F 2 2 3 -1d
x,y,z
-x+1/4,-y+1/4,-z+1/4
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-z+1/4,-x+1/4,-y+1/4
-y+1/4,-z+1/4,-x+1/4
y+1/4,z+1/4,-x+1/4
-z+1/4,x+1/4,y+1/4
y+1/4,-z+1/4,x+1/4
z+1/4,x+1/4,-y+1/4
z+1/4,-x+1/4,y+1/4
-y+1/4,z+1/4,x+1/4
-x,-y,z
x,-y,-z
-x,y,-z
x+1/4,y+1/4,-z+1/4
-x+1/4,y+1/4,z+1/4
x+1/4,-y+1/4,z+1/4

*203:2      Th^4          Fd-3:2                      -F 2uv 2vw 3
x,y,z
z,x,y
y,z,x
-y+1/4,-z+1/4,x
z,-x+1/4,-y+1/4
-y+1/4,z,-x+1/4
-z+1/4,-x+1/4,y
-z+1/4,x,-y+1/4
y,-z+1/4,-x+1/4
-x+1/4,-y+1/4,z
x,-y+1/4,-z+1/4
-x+1/4,y,-z+1/4
-x,-y,-z
-z,-x,-y
-y,-z,-x
y+3/4,z+3/4,-x
-z,x+3/4,y+3/4
y+3/4,-z,x+3/4
z+3/4,x+3/4,-y
z+3/4,-x,y+3/4
-y,z+3/4,x+3/4
x+3/4,y+3/4,-z
-x,y+3/4,z+3/4
x+3/4,-y,z+3/4

*204        Th^5          Im-3                        -I 2 2 3
x,y,z
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-x,-y,z
x,-y,-z
-x,y,-z
-x,-y,-z
-z,-x,-y
-y,-z,-x
y,z,-x
-z,x,y
y,-z,x
z,x,-y
z,-x,y
-y,z,x
x,y,-z
-x,y,z
x,-y,z

*205        Th^6          Pa-3                        -P 2ac 2ab 3
x,y,z
z,x,y
y,z,x
-y+1/2,-z,x+1/2
z+1/2,-x+1/2,-y
-y,z+1/2,-x+1/2
-z+1/2,-x,y+1/2
-z,x+1/2,-y+1/2
y+1/2,-z+1/2,-x
-x+1/2,-y,z+1/2
x+1/2,-y+1/2,-z
-x,y+1/2,-z+1/2
-x,-y,-z
-z,-x,-y
-y,-z,-x
y+1/2,z,-x+1/2
-z+1/2,x+1/2,y
y,-z+1/2,x+1/2
z+1/2,x,-y+1/2
z,-x+1/2,y+1/2
-y+1/2,z+1/2,x
x+1/2,y,-z+1/2
-x+1/2,y+1/2,z
x,-y+1/2,z+1/2

*206        Th^7          Ia-3                        -I 2b 2c 3
x,y,z
z,x,y
y,z,x
-y,-z+1/2,x
z,-x,-y+1/2
-y+1/2,z,-x
-z,-x+1/2,y
-z+1/2,x,-y
y,-z,-x+1/2
-x,-y+1/2,z
x,-y,-z+1/2
-x+1/2,y,-z
-x,-y,-z
-z,-x,-y
-y,-z,-x
y,z+1/2,-x
-z,x,y+1/2
y+1/2,-z,x
z,x+1/2,-y
z+1/2,-x,y
-y,z,x+1/2
x,y+1/2,-z
-x,y,z+1/2
x+1/2,-y,z

*207        O^1           P432                         P 4 2 3
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-z,y
x,-y,-z
x,z,-y
z,y,-x
-x,y,-z
-z,y,x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y,x,-z
-y,-x,-z
-x,z,y
-x,-z,-y
z,-y,x
-z,-y,-x

*208        O^2           P4232                        P 4n 2 3
x,y,z
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
x+1/2,-z+1/2,y+1/2
x,-y,-z
x+1/2,z+1/2,-y+1/2
z+1/2,y+1/2,-x+1/2
-x,y,-z
-z+1/2,y+1/2,x+1/2
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y+1/2,x+1/2,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x+1/2,z+1/2,y+1/2
-x+1/2,-z+1/2,-y+1/2
z+1/2,-y+1/2,x+1/2
-z+1/2,-y+1/2,-x+1/2

*209        O^3           F432                         F 4 2 3
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-z,y
x,-y,-z
x,z,-y
z,y,-x
-x,y,-z
-z,y,x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y,x,-z
-y,-x,-z
-x,z,y
-x,-z,-y
z,-y,x
-z,-y,-x

*210        O^4           F4132                        F 4d 2 3
x,y,z
-y+1/4,x+1/4,z+1/4
-x,-y,z
y+1/4,-x+1/4,z+1/4
x+1/4,-z+1/4,y+1/4
x,-y,-z
x+1/4,z+1/4,-y+1/4
z+1/4,y+1/4,-x+1/4
-x,y,-z
-z+1/4,y+1/4,x+1/4
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y+1/4,x+1/4,-z+1/4
-y+1/4,-x+1/4,-z+1/4
-x+1/4,z+1/4,y+1/4
-x+1/4,-z+1/4,-y+1/4
z+1/4,-y+1/4,x+1/4
-z+1/4,-y+1/4,-x+1/4

*211        O^5           I432                         I 4 2 3
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-z,y
x,-y,-z
x,z,-y
z,y,-x
-x,y,-z
-z,y,x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y,x,-z
-y,-x,-z
-x,z,y
-x,-z,-y
z,-y,x
-z,-y,-x

*212        O^6           P4332                        P 4acd 2ab 3
x,y,z
-y+3/4,x+1/4,z+3/4
-x+1/2,-y,z+1/2
y+3/4,-x+3/4,z+1/4
x+3/4,-z+3/4,y+1/4
x+1/2,-y+1/2,-z
x+1/4,z+3/4,-y+3/4
z+1/4,y+3/4,-x+3/4
-x,y+1/2,-z+1/2
-z+3/4,y+1/4,x+3/4
z,x,y
y,z,x
-y+1/2,-z,x+1/2
z+1/2,-x+1/2,-y
-y,z+1/2,-x+1/2
-z+1/2,-x,y+1/2
-z,x+1/2,-y+1/2
y+1/2,-z+1/2,-x
y+1/4,x+3/4,-z+3/4
-y+1/4,-x+1/4,-z+1/4
-x+3/4,z+1/4,y+3/4
-x+1/4,-z+1/4,-y+1/4
z+3/4,-y+3/4,x+1/4
-z+1/4,-y+1/4,-x+1/4

*213        O^7           P4132                        P 4bd 2ab 3
x,y,z
-y+1/4,x+3/4,z+1/4
-x+1/2,-y,z+1/2
y+1/4,-x+1/4,z+3/4
x+1/4,-z+1/4,y+3/4
x+1/2,-y+1/2,-z
x+3/4,z+1/4,-y+1/4
z+3/4,y+1/4,-x+1/4
-x,y+1/2,-z+1/2
-z+1/4,y+3/4,x+1/4
z,x,y
y,z,x
-y+1/2,-z,x+1/2
z+1/2,-x+1/2,-y
-y,z+1/2,-x+1/2
-z+1/2,-x,y+1/2
-z,x+1/2,-y+1/2
y+1/2,-z+1/2,-x
y+3/4,x+1/4,-z+1/4
-y+3/4,-x+3/4,-z+3/4
-x+1/4,z+3/4,y+1/4
-x+3/4,-z+3/4,-y+3/4
z+1/4,-y+1/4,x+3/4
-z+3/4,-y+3/4,-x+3/4

*214        O^8           I4132                        I 4bd 2c 3
x,y,z
-y+1/4,x+3/4,z+1/4
-x,-y+1/2,z
y+1/4,-x+1/4,z+3/4
x+1/4,-z+1/4,y+3/4
x,-y,-z+1/2
x+3/4,z+1/4,-y+1/4
z+3/4,y+1/4,-x+1/4
-x+1/2,y,-z
-z+1/4,y+3/4,x+1/4
z,x,y
y,z,x
-y,-z+1/2,x
z,-x,-y+1/2
-y+1/2,z,-x
-z,-x+1/2,y
-z+1/2,x,-y
y,-z,-x+1/2
y+3/4,x+1/4,-z+1/4
-y+1/4,-x+1/4,-z+1/4
-x+1/4,z+3/4,y+1/4
-x+1/4,-z+1/4,-y+1/4
z+1/4,-y+1/4,x+3/4
-z+1/4,-y+1/4,-x+1/4

*215        Td^1          P-43m                        P -4 2 3
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
-x,z,-y
x,-y,-z
-x,-z,y
-z,-y,x
-x,y,-z
z,-y,-x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-y,-x,z
y,x,z
x,-z,-y
x,z,y
-z,y,-x
z,y,x

*216        Td^2          F-43m                        F -4 2 3
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
-x,z,-y
x,-y,-z
-x,-z,y
-z,-y,x
-x,y,-z
z,-y,-x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-y,-x,z
y,x,z
x,-z,-y
x,z,y
-z,y,-x
z,y,x

*217        Td^3          I-43m                        I -4 2 3
x,y,z
y,-x,-z
-x,-y,z
-y,x,-z
-x,z,-y
x,-y,-z
-x,-z,y
-z,-y,x
-x,y,-z
z,-y,-x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-y,-x,z
y,x,z
x,-z,-y
x,z,y
-z,y,-x
z,y,x

*218        Td^4          P-43n                        P -4n 2 3
x,y,z
y+1/2,-x+1/2,-z+1/2
-x,-y,z
-y+1/2,x+1/2,-z+1/2
-x+1/2,z+1/2,-y+1/2
x,-y,-z
-x+1/2,-z+1/2,y+1/2
-z+1/2,-y+1/2,x+1/2
-x,y,-z
z+1/2,-y+1/2,-x+1/2
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2
x+1/2,-z+1/2,-y+1/2
x+1/2,z+1/2,y+1/2
-z+1/2,y+1/2,-x+1/2
z+1/2,y+1/2,x+1/2

*219        Td^5          F-43c                        F -4c 2 3
x,y,z
y,-x,-z+1/2
-x,-y,z
-y,x,-z+1/2
-x,z,-y+1/2
x,-y,-z
-x,-z,y+1/2
-z,-y,x+1/2
-x,y,-z
z,-y,-x+1/2
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-y,-x,z+1/2
y,x,z+1/2
x,-z,-y+1/2
x,z,y+1/2
-z,y,-x+1/2
z,y,x+1/2

*220        Td^6          I-43d                        I -4bd 2c 3
x,y,z
y+1/4,-x+3/4,-z+1/4
-x,-y+1/2,z
-y+1/4,x+1/4,-z+3/4
-x+1/4,z+1/4,-y+3/4
x,-y,-z+1/2
-x+3/4,-z+1/4,y+1/4
-z+3/4,-y+1/4,x+1/4
-x+1/2,y,-z
z+1/4,-y+3/4,-x+1/4
z,x,y
y,z,x
-y,-z+1/2,x
z,-x,-y+1/2
-y+1/2,z,-x
-z,-x+1/2,y
-z+1/2,x,-y
y,-z,-x+1/2
-y+3/4,-x+1/4,z+1/4
y+1/4,x+1/4,z+1/4
x+1/4,-z+3/4,-y+1/4
x+1/4,z+1/4,y+1/4
-z+1/4,y+1/4,-x+3/4
z+1/4,y+1/4,x+1/4

*221        Oh^1          Pm-3m                       -P 4 2 3
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-z,y
x,-y,-z
x,z,-y
z,y,-x
-x,y,-z
-z,y,x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y,x,-z
-y,-x,-z
-x,z,y
-x,-z,-y
z,-y,x
-z,-y,-x
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x,z,-y
-x,y,z
-x,-z,y
-z,-y,x
x,-y,z
z,-y,-x
-z,-x,-y
-y,-z,-x
y,z,-x
-z,x,y
y,-z,x
z,x,-y
z,-x,y
-y,z,x
-y,-x,z
y,x,z
x,-z,-y
x,z,y
-z,y,-x
z,y,x

*222:1      Oh^2          Pn-3n:1                      P 4 2 3 -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-y,x,z
-x,-y,z
y,-x,z
x,-z,y
x,-y,-z
x,z,-y
z,y,-x
-x,y,-z
-z,y,x
y+1/2,-x+1/2,-z+1/2
-y+1/2,x+1/2,-z+1/2
-x+1/2,z+1/2,-y+1/2
-x+1/2,-z+1/2,y+1/2
-z+1/2,-y+1/2,x+1/2
z+1/2,-y+1/2,-x+1/2
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-z+1/2,-x+1/2,-y+1/2
-y+1/2,-z+1/2,-x+1/2
y+1/2,z+1/2,-x+1/2
-z+1/2,x+1/2,y+1/2
y+1/2,-z+1/2,x+1/2
z+1/2,x+1/2,-y+1/2
z+1/2,-x+1/2,y+1/2
-y+1/2,z+1/2,x+1/2
y,x,-z
-y,-x,-z
-x,z,y
-x,-z,-y
z,-y,x
-z,-y,-x
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2
x+1/2,-z+1/2,-y+1/2
x+1/2,z+1/2,y+1/2
-z+1/2,y+1/2,-x+1/2
z+1/2,y+1/2,x+1/2

*222:2      Oh^2          Pn-3n:2                     -P 4a 2bc 3
x,y,z
-y+1/2,x,z
-x+1/2,-y+1/2,z
y,-x+1/2,z
x,-z+1/2,y
x,-y+1/2,-z+1/2
x,z,-y+1/2
z,y,-x+1/2
-x+1/2,y,-z+1/2
-z+1/2,y,x
z,x,y
y,z,x
-y+1/2,-z+1/2,x
z,-x+1/2,-y+1/2
-y+1/2,z,-x+1/2
-z+1/2,-x+1/2,y
-z+1/2,x,-y+1/2
y,-z+1/2,-x+1/2
y,x,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x+1/2,z,y
-x+1/2,-z+1/2,-y+1/2
z,-y+1/2,x
-z+1/2,-y+1/2,-x+1/2
-x,-y,-z
y+1/2,-x,-z
x+1/2,y+1/2,-z
-y,x+1/2,-z
-x,z+1/2,-y
-x,y+1/2,z+1/2
-x,-z,y+1/2
-z,-y,x+1/2
x+1/2,-y,z+1/2
z+1/2,-y,-x
-z,-x,-y
-y,-z,-x
y+1/2,z+1/2,-x
-z,x+1/2,y+1/2
y+1/2,-z,x+1/2
z+1/2,x+1/2,-y
z+1/2,-x,y+1/2
-y,z+1/2,x+1/2
-y,-x,z+1/2
y+1/2,x+1/2,z+1/2
x+1/2,-z,-y
x+1/2,z+1/2,y+1/2
-z,y+1/2,-x
z+1/2,y+1/2,x+1/2

*223        Oh^3          Pm-3n                       -P 4n 2 3
x,y,z
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
x+1/2,-z+1/2,y+1/2
x,-y,-z
x+1/2,z+1/2,-y+1/2
z+1/2,y+1/2,-x+1/2
-x,y,-z
-z+1/2,y+1/2,x+1/2
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y+1/2,x+1/2,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x+1/2,z+1/2,y+1/2
-x+1/2,-z+1/2,-y+1/2
z+1/2,-y+1/2,x+1/2
-z+1/2,-y+1/2,-x+1/2
-x,-y,-z
y+1/2,-x+1/2,-z+1/2
x,y,-z
-y+1/2,x+1/2,-z+1/2
-x+1/2,z+1/2,-y+1/2
-x,y,z
-x+1/2,-z+1/2,y+1/2
-z+1/2,-y+1/2,x+1/2
x,-y,z
z+1/2,-y+1/2,-x+1/2
-z,-x,-y
-y,-z,-x
y,z,-x
-z,x,y
y,-z,x
z,x,-y
z,-x,y
-y,z,x
-y+1/2,-x+1/2,z+1/2
y+1/2,x+1/2,z+1/2
x+1/2,-z+1/2,-y+1/2
x+1/2,z+1/2,y+1/2
-z+1/2,y+1/2,-x+1/2
z+1/2,y+1/2,x+1/2

*224:1      Oh^4          Pn-3m:1                      P 4n 2 3 -1n
x,y,z
-x+1/2,-y+1/2,-z+1/2
-y+1/2,x+1/2,z+1/2
-x,-y,z
y+1/2,-x+1/2,z+1/2
x+1/2,-z+1/2,y+1/2
x,-y,-z
x+1/2,z+1/2,-y+1/2
z+1/2,y+1/2,-x+1/2
-x,y,-z
-z+1/2,y+1/2,x+1/2
y,-x,-z
-y,x,-z
-x,z,-y
-x,-z,y
-z,-y,x
z,-y,-x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-z+1/2,-x+1/2,-y+1/2
-y+1/2,-z+1/2,-x+1/2
y+1/2,z+1/2,-x+1/2
-z+1/2,x+1/2,y+1/2
y+1/2,-z+1/2,x+1/2
z+1/2,x+1/2,-y+1/2
z+1/2,-x+1/2,y+1/2
-y+1/2,z+1/2,x+1/2
y+1/2,x+1/2,-z+1/2
-y+1/2,-x+1/2,-z+1/2
-x+1/2,z+1/2,y+1/2
-x+1/2,-z+1/2,-y+1/2
z+1/2,-y+1/2,x+1/2
-z+1/2,-y+1/2,-x+1/2
x+1/2,y+1/2,-z+1/2
-x+1/2,y+1/2,z+1/2
x+1/2,-y+1/2,z+1/2
-y,-x,z
y,x,z
x,-z,-y
x,z,y
-z,y,-x
z,y,x

*224:2      Oh^4          Pn-3m:2                     -P 4bc 2bc 3
x,y,z
-y,x+1/2,z+1/2
-x+1/2,-y+1/2,z
y+1/2,-x,z+1/2
x+1/2,-z,y+1/2
x,-y+1/2,-z+1/2
x+1/2,z+1/2,-y
z+1/2,y+1/2,-x
-x+1/2,y,-z+1/2
-z,y+1/2,x+1/2
z,x,y
y,z,x
-y+1/2,-z+1/2,x
z,-x+1/2,-y+1/2
-y+1/2,z,-x+1/2
-z+1/2,-x+1/2,y
-z+1/2,x,-y+1/2
y,-z+1/2,-x+1/2
y+1/2,x+1/2,-z
-y,-x,-z
-x,z+1/2,y+1/2
-x,-z,-y
z+1/2,-y,x+1/2
-z,-y,-x
-x,-y,-z
y,-x+1/2,-z+1/2
x+1/2,y+1/2,-z
-y+1/2,x,-z+1/2
-x+1/2,z,-y+1/2
-x,y+1/2,z+1/2
-x+1/2,-z+1/2,y
-z+1/2,-y+1/2,x
x+1/2,-y,z+1/2
z,-y+1/2,-x+1/2
-z,-x,-y
-y,-z,-x
y+1/2,z+1/2,-x
-z,x+1/2,y+1/2
y+1/2,-z,x+1/2
z+1/2,x+1/2,-y
z+1/2,-x,y+1/2
-y,z+1/2,x+1/2
-y+1/2,-x+1/2,z
y,x,z
x,-z+1/2,-y+1/2
x,z,y
-z+1/2,y,-x+1/2
z,y,x

*225        Oh^5          Fm-3m                       -F 4 2 3
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-z,y
x,-y,-z
x,z,-y
z,y,-x
-x,y,-z
-z,y,x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y,x,-z
-y,-x,-z
-x,z,y
-x,-z,-y
z,-y,x
-z,-y,-x
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x,z,-y
-x,y,z
-x,-z,y
-z,-y,x
x,-y,z
z,-y,-x
-z,-x,-y
-y,-z,-x
y,z,-x
-z,x,y
y,-z,x
z,x,-y
z,-x,y
-y,z,x
-y,-x,z
y,x,z
x,-z,-y
x,z,y
-z,y,-x
z,y,x

*226        Oh^6          Fm-3c                       -F 4c 2 3
x,y,z
-y,x,z+1/2
-x,-y,z
y,-x,z+1/2
x,-z,y+1/2
x,-y,-z
x,z,-y+1/2
z,y,-x+1/2
-x,y,-z
-z,y,x+1/2
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y,x,-z+1/2
-y,-x,-z+1/2
-x,z,y+1/2
-x,-z,-y+1/2
z,-y,x+1/2
-z,-y,-x+1/2
-x,-y,-z
y,-x,-z+1/2
x,y,-z
-y,x,-z+1/2
-x,z,-y+1/2
-x,y,z
-x,-z,y+1/2
-z,-y,x+1/2
x,-y,z
z,-y,-x+1/2
-z,-x,-y
-y,-z,-x
y,z,-x
-z,x,y
y,-z,x
z,x,-y
z,-x,y
-y,z,x
-y,-x,z+1/2
y,x,z+1/2
x,-z,-y+1/2
x,z,y+1/2
-z,y,-x+1/2
z,y,x+1/2

*227:1      Oh^7          Fd-3m:1                      F 4d 2 3 -1d
x,y,z
-x+1/4,-y+1/4,-z+1/4
-y+1/4,x+1/4,z+1/4
-x,-y,z
y+1/4,-x+1/4,z+1/4
x+1/4,-z+1/4,y+1/4
x,-y,-z
x+1/4,z+1/4,-y+1/4
z+1/4,y+1/4,-x+1/4
-x,y,-z
-z+1/4,y+1/4,x+1/4
y,-x,-z
-y,x,-z
-x,z,-y
-x,-z,y
-z,-y,x
z,-y,-x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-z+1/4,-x+1/4,-y+1/4
-y+1/4,-z+1/4,-x+1/4
y+1/4,z+1/4,-x+1/4
-z+1/4,x+1/4,y+1/4
y+1/4,-z+1/4,x+1/4
z+1/4,x+1/4,-y+1/4
z+1/4,-x+1/4,y+1/4
-y+1/4,z+1/4,x+1/4
y+1/4,x+1/4,-z+1/4
-y+1/4,-x+1/4,-z+1/4
-x+1/4,z+1/4,y+1/4
-x+1/4,-z+1/4,-y+1/4
z+1/4,-y+1/4,x+1/4
-z+1/4,-y+1/4,-x+1/4
x+1/4,y+1/4,-z+1/4
-x+1/4,y+1/4,z+1/4
x+1/4,-y+1/4,z+1/4
-y,-x,z
y,x,z
x,-z,-y
x,z,y
-z,y,-x
z,y,x

*227:2      Oh^7          Fd-3m:2                     -F 4vw 2vw 3
x,y,z
-y,x+1/4,z+1/4
-x+1/4,-y+1/4,z
y+1/4,-x,z+1/4
x+1/4,-z,y+1/4
x,-y+1/4,-z+1/4
x+1/4,z+1/4,-y
z+1/4,y+1/4,-x
-x+1/4,y,-z+1/4
-z,y+1/4,x+1/4
z,x,y
y,z,x
-y+1/4,-z+1/4,x
z,-x+1/4,-y+1/4
-y+1/4,z,-x+1/4
-z+1/4,-x+1/4,y
-z+1/4,x,-y+1/4
y,-z+1/4,-x+1/4
y+1/4,x+1/4,-z
-y,-x,-z
-x,z+1/4,y+1/4
-x,-z,-y
z+1/4,-y,x+1/4
-z,-y,-x
-x,-y,-z
y,-x+3/4,-z+3/4
x+3/4,y+3/4,-z
-y+3/4,x,-z+3/4
-x+3/4,z,-y+3/4
-x,y+3/4,z+3/4
-x+3/4,-z+3/4,y
-z+3/4,-y+3/4,x
x+3/4,-y,z+3/4
z,-y+3/4,-x+3/4
-z,-x,-y
-y,-z,-x
y+3/4,z+3/4,-x
-z,x+3/4,y+3/4
y+3/4,-z,x+3/4
z+3/4,x+3/4,-y
z+3/4,-x,y+3/4
-y,z+3/4,x+3/4
-y+3/4,-x+3/4,z
y,x,z
x,-z+3/4,-y+3/4
x,z,y
-z+3/4,y,-x+3/4
z,y,x

*228:1      Oh^8          Fd-3c:1                      F 4d 2 3 -1cd
x,y,z
-x+1/4,-y+1/4,-z+3/4
-y+1/4,x+1/4,z+1/4
-x,-y,z
y+1/4,-x+1/4,z+1/4
x+1/4,-z+1/4,y+1/4
x,-y,-z
x+1/4,z+1/4,-y+1/4
z+1/4,y+1/4,-x+1/4
-x,y,-z
-z+1/4,y+1/4,x+1/4
y,-x,-z+1/2
-y,x,-z+1/2
-x,z,-y+1/2
-x,-z,y+1/2
-z,-y,x+1/2
z,-y,-x+1/2
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
-z+1/4,-x+1/4,-y+3/4
-y+1/4,-z+1/4,-x+3/4
y+1/4,z+1/4,-x+3/4
-z+1/4,x+1/4,y+3/4
y+1/4,-z+1/4,x+3/4
z+1/4,x+1/4,-y+3/4
z+1/4,-x+1/4,y+3/4
-y+1/4,z+1/4,x+3/4
y+1/4,x+1/4,-z+1/4
-y+1/4,-x+1/4,-z+1/4
-x+1/4,z+1/4,y+1/4
-x+1/4,-z+1/4,-y+1/4
z+1/4,-y+1/4,x+1/4
-z+1/4,-y+1/4,-x+1/4
x+1/4,y+1/4,-z+3/4
-x+1/4,y+1/4,z+3/4
x+1/4,-y+1/4,z+3/4
-y,-x,z+1/2
y,x,z+1/2
x,-z,-y+1/2
x,z,y+1/2
-z,y,-x+1/2
z,y,x+1/2

*228:2      Oh^8          Fd-3c:2                     -F 4cvw 2vw 3
x,y,z
-y,x+1/4,z+3/4
-x+1/4,-y+1/4,z
y+1/4,-x,z+3/4
x+1/4,-z,y+3/4
x,-y+1/4,-z+1/4
x+1/4,z+3/4,-y
z+1/4,y+3/4,-x
-x+1/4,y,-z+1/4
-z,y+1/4,x+3/4
z,x,y
y,z,x
-y+1/4,-z+1/4,x
z,-x+1/4,-y+1/4
-y+1/4,z,-x+1/4
-z+1/4,-x+1/4,y
-z+1/4,x,-y+1/4
y,-z+1/4,-x+1/4
y+1/4,x+3/4,-z
-y,-x,-z+1/2
-x,z+1/4,y+3/4
-x,-z,-y+1/2
z+1/4,-y,x+3/4
-z,-y,-x+1/2
-x,-y,-z
y,-x+3/4,-z+1/4
x+3/4,y+3/4,-z
-y+3/4,x,-z+1/4
-x+3/4,z,-y+1/4
-x,y+3/4,z+3/4
-x+3/4,-z+1/4,y
-z+3/4,-y+1/4,x
x+3/4,-y,z+3/4
z,-y+3/4,-x+1/4
-z,-x,-y
-y,-z,-x
y+3/4,z+3/4,-x
-z,x+3/4,y+3/4
y+3/4,-z,x+3/4
z+3/4,x+3/4,-y
z+3/4,-x,y+3/4
-y,z+3/4,x+3/4
-y+3/4,-x+1/4,z
y,x,z+1/2
x,-z+3/4,-y+1/4
x,z,y+1/2
-z+3/4,y,-x+1/4
z,y,x+1/2

*229        Oh^9          Im-3m                       -I 4 2 3
x,y,z
-y,x,z
-x,-y,z
y,-x,z
x,-z,y
x,-y,-z
x,z,-y
z,y,-x
-x,y,-z
-z,y,x
z,x,y
y,z,x
-y,-z,x
z,-x,-y
-y,z,-x
-z,-x,y
-z,x,-y
y,-z,-x
y,x,-z
-y,-x,-z
-x,z,y
-x,-z,-y
z,-y,x
-z,-y,-x
-x,-y,-z
y,-x,-z
x,y,-z
-y,x,-z
-x,z,-y
-x,y,z
-x,-z,y
-z,-y,x
x,-y,z
z,-y,-x
-z,-x,-y
-y,-z,-x
y,z,-x
-z,x,y
y,-z,x
z,x,-y
z,-x,y
-y,z,x
-y,-x,z
y,x,z
x,-z,-y
x,z,y
-z,y,-x
z,y,x

*230        Oh^10         Ia-3d                       -I 4bd 2c 3
x,y,z
-y+1/4,x+3/4,z+1/4
-x,-y+1/2,z
y+1/4,-x+1/4,z+3/4
x+1/4,-z+1/4,y+3/4
x,-y,-z+1/2
x+3/4,z+1/4,-y+1/4
z+3/4,y+1/4,-x+1/4
-x+1/2,y,-z
-z+1/4,y+3/4,x+1/4
z,x,y
y,z,x
-y,-z+1/2,x
z,-x,-y+1/2
-y+1/2,z,-x
-z,-x+1/2,y
-z+1/2,x,-y
y,-z,-x+1/2
y+3/4,x+1/4,-z+1/4
-y+1/4,-x+1/4,-z+1/4
-x+1/4,z+3/4,y+1/4
-x+1/4,-z+1/4,-y+1/4
z+1/4,-y+1/4,x+3/4
-z+1/4,-y+1/4,-x+1/4
-x,-y,-z
y+3/4,-x+1/4,-z+3/4
x,y+1/2,-z
-y+3/4,x+3/4,-z+1/4
-x+3/4,z+3/4,-y+1/4
-x,y,z+1/2
-x+1/4,-z+3/4,y+3/4
-z+1/4,-y+3/4,x+3/4
x+1/2,-y,z
z+3/4,-y+1/4,-x+3/4
-z,-x,-y
-y,-z,-x
y,z+1/2,-x
-z,x,y+1/2
y+1/2,-z,x
z,x+1/2,-y
z+1/2,-x,y
-y,z,x+1/2
-y+1/4,-x+3/4,z+3/4
y+3/4,x+3/4,z+3/4
x+3/4,-z+1/4,-y+3/4
x+3/4,z+3/4,y+3/4
-z+3/4,y+3/4,-x+1/4
z+3/4,y+3/4,x+3/4

