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Result of symbol lookup:
Space group number: 66
Schoenflies symbol: D2h^20
HermannMauguin symbol: C c c m
Hall symbol: C 2 2c
Input space group symbol: C c c m
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<=1/2; 0<=y<=1/4; 0<=z<=1/2
List of symmetry operations:
Matrix
 Rotationpart type
 Axis direction
 Screw/glide component
 Origin shift

x,y,z
 1      

x,y,z
 2  [0,0,1]  0,0,0  0,0,0

x,y,z+1/2
 2  [1,0,0]  0,0,0  0,0,1/4

x,y,z+1/2
 2  [0,1,0]  0,0,0  0,0,1/4

x,y,z
 1      0,0,0

x,y,z
 2  [0,0,1]  0,0,0  0,0,0

x,y,z1/2
 2  [1,0,0]  0,0,1/2  0,0,0

x,y,z1/2
 2  [0,1,0]  0,0,1/2  0,0,0

x+1/2,y+1/2,z
 1      

x+1/2,y+1/2,z
 2  [0,0,1]  0,0,0  1/4,1/4,0

x+1/2,y+1/2,z+1/2
 2  [1,0,0]  1/2,0,0  0,1/4,1/4

x+1/2,y+1/2,z+1/2
 2  [0,1,0]  0,1/2,0  1/4,0,1/4

x+1/2,y+1/2,z
 1      1/4,1/4,0

x+1/2,y+1/2,z
 2  [0,0,1]  1/2,1/2,0  0,0,0

x+1/2,y+1/2,z1/2
 2  [1,0,0]  0,1/2,1/2  1/4,0,0

x+1/2,y+1/2,z1/2
 2  [0,1,0]  1/2,0,1/2  0,1/4,0

List of Wyckoff positions:
Wyckoff letter
 Multiplicity
 Site symmetry point group type
 Representative special position operator

m  16  1  x,y,z

l  8  m  x,y,0

k  8  2  1/4,1/4,z

j  8  2  0,1/2,z

i  8  2  0,0,z

h  8  2  0,y,1/4

g  8  2  x,0,1/4

f  4  2/m  1/4,1/4,0

e  4  2/m  1/4,1/4,0

d  4  2/m  0,1/2,0

c  4  2/m  0,0,0

b  4  222  0,1/2,1/4

a  4  222  0,0,1/4

Harker planes:
Algebraic
 Normal vector
 A point in the plane

2*x,2*y,0  [0,0,1]  0,0,0

0,2*y,2*z+1/2  [1,0,0]  0,0,1/2

2*x,0,2*z+1/2  [0,1,0]  0,0,1/2

Additional generators of Euclidean normalizer:
Number of structureseminvariant vectors and moduli: 2
Vector Modulus
(1, 0, 0) 2
(0, 0, 1) 2
Grid factors implied by symmetries:
Space group: (2, 2, 2)
Structureseminvariant 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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