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Result of symbol lookup:
  Space group number: 72
  Schoenflies symbol: D2h^26
  Hermann-Mauguin symbol: I b a m
  Hall symbol: -I 2 2c

Input space group symbol: I b a 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 Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
-x,-y,z 2[0,0,1]0,0,00,0,0
x,-y,-z+1/2 2[1,0,0]0,0,00,0,1/4
-x,y,-z+1/2 2[0,1,0]0,0,00,0,1/4
-x,-y,-z -1--0,0,0
x,y,-z -2[0,0,1]0,0,00,0,0
-x,y,z-1/2 -2[1,0,0]0,0,-1/20,0,0
x,-y,z-1/2 -2[0,1,0]0,0,-1/20,0,0
x+1/2,y+1/2,z+1/2 1---
-x+1/2,-y+1/2,z+1/2 2[0,0,1]0,0,1/21/4,1/4,0
x+1/2,-y+1/2,-z+1 2[1,0,0]1/2,0,00,1/4,1/2
-x+1/2,y+1/2,-z+1 2[0,1,0]0,1/2,01/4,0,1/2
-x+1/2,-y+1/2,-z+1/2 -1--1/4,1/4,1/4
x+1/2,y+1/2,-z+1/2 -2[0,0,1]1/2,1/2,00,0,1/4
-x+1/2,y+1/2,z -2[1,0,0]0,1/2,01/4,0,0
x+1/2,-y+1/2,z -2[0,1,0]1/2,0,00,1/4,0 

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type 		Representative special position operator
k161x,y,z
j8mx,y,0
i820,1/2,z
h820,0,z
g820,y,1/4
f82x,0,1/4
e8-11/4,1/4,1/4
d42/m1/2,0,0
c42/m0,0,0
b42221/2,0,1/4
a42220,0,1/4 

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 structure-seminvariant vectors and moduli: 2
    Vector    Modulus
    (1, 0, 0) 2
    (0, 1, 0) 2

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