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Result of symbol lookup:
  Space group number: 67
  Schoenflies symbol: D2h^21
  Hermann-Mauguin symbol: C m m a
  Hall symbol: -C 2a 2

Input space group symbol: C m m a
Convention: Default

Number of lattice translations: 2
Space group is centric.
Number of representative symmetry operations: 4
Total number of symmetry operations: 16

Parallelepiped containing an asymmetric unit:
  0<=x<=1/4; 0<=y<=1/4; 0<=z<1

List of symmetry operations:
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
-x+1/2,-y,z 2[0,0,1]0,0,01/4,0,0
x,-y,-z 2[1,0,0]0,0,00,0,0
-x+1/2,y,-z 2[0,1,0]0,0,01/4,0,0
-x,-y,-z -1--0,0,0
x-1/2,y,-z -2[0,0,1]-1/2,0,00,0,0
-x,y,z -2[1,0,0]0,0,00,0,0
x-1/2,-y,z -2[0,1,0]-1/2,0,00,0,0
x+1/2,y+1/2,z 1---
-x+1,-y+1/2,z 2[0,0,1]0,0,01/2,1/4,0
x+1/2,-y+1/2,-z 2[1,0,0]1/2,0,00,1/4,0
-x+1,y+1/2,-z 2[0,1,0]0,1/2,01/2,0,0
-x+1/2,-y+1/2,-z -1--1/4,1/4,0
x,y+1/2,-z -2[0,0,1]0,1/2,00,0,0
-x+1/2,y+1/2,z -2[1,0,0]0,1/2,01/4,0,0
x,-y+1/2,z -2[0,1,0]0,0,00,1/4,0 

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type 		Representative special position operator
o161x,y,z
n8mx,1/4,z
m8m0,y,z
l821/4,0,z
k821/4,y,1/2
j821/4,y,0
i82x,0,1/2
h82x,0,0
g4mm20,1/4,z
f42/m1/4,1/4,1/2
e42/m1/4,1/4,0
d42/m0,0,1/2
c42/m0,0,0
b42221/4,0,1/2
a42221/4,0,0 

Harker planes:
Algebraic Normal vector A point in the plane
2*x+1/2,2*y,0[0,0,1]1/2,0,0
0,2*y,2*z[1,0,0]0,0,0
2*x+1/2,0,2*z[0,1,0]1/2,0,0 

Additional generators of Euclidean normalizer:
  Number of structure-seminvariant vectors and moduli: 2
    Vector    Modulus
    (1, 0, 0) 2
    (0, 0, 1) 2

Grid factors implied by symmetries:
  Space group: (2, 2, 1)
  Structure-seminvariant vectors and moduli: (2, 1, 2)
  Euclidean normalizer: (2, 2, 2)

  All points of a grid over the unit cell are mapped
  exactly onto other grid points only if the factors
  shown above are factors of the grid.
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