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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
d81x,y,z
c420,1/4,z
b421/4,y,0
a42x,0,1/4
```
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
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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