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Result of symbol lookup:
  Space group number: 24
  Schoenflies symbol: D2^9
  Hermann-Mauguin symbol: I 21 21 21
  Hall symbol: I 2b 2c

Input space group symbol: I 21 21 21
Convention: Default

Number of lattice translations: 2
Space group is acentric.
Space group is chiral.
Number of representative symmetry operations: 4
Total number of symmetry operations: 8

Parallelepiped containing an asymmetric unit:
  0<=x<=1/4; 0<=y<=1/2; 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+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

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

Harker planes:
Algebraic Normal vector A point in the plane

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

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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