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Result of symbol lookup:
  Space group number: 73
  Schoenflies symbol: D2h^27
  Hermann-Mauguin symbol: I b c a
  Hall symbol: -I 2b 2c

Input space group symbol: I b c 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,-y+1/2,z 2[0,0,1]0,0,00,1/4,0
x,-y,-z+1/2 2[1,0,0]0,0,00,0,1/4
-x,y+1/2,-z+1/2 2[0,1,0]0,1/2,00,0,1/4
-x,-y,-z -1--0,0,0
x,y-1/2,-z -2[0,0,1]0,-1/2,00,0,0
-x,y,z-1/2 -2[1,0,0]0,0,-1/20,0,0
x,-y-1/2,z-1/2 -2[0,1,0]0,0,-1/20,-1/4,0
x+1/2,y+1/2,z+1/2 1---
-x+1/2,-y+1,z+1/2 2[0,0,1]0,0,1/21/4,1/2,0
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,-z+1 2[0,1,0]0,1,01/4,0,1/2
-x+1/2,-y+1/2,-z+1/2 -1--1/4,1/4,1/4
x+1/2,y,-z+1/2 -2[0,0,1]1/2,0,00,0,1/4
-x+1/2,y+1/2,z -2[1,0,0]0,1/2,01/4,0,0
x+1/2,-y,z -2[0,1,0]1/2,0,00,0,0 

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type 		Representative special position operator
f161x,y,z
e820,1/4,z
d821/4,y,0
c82x,0,1/4
b8-11/4,1/4,1/4
a8-10,0,0 

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

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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