[Index of services] [New input]
```Result of symbol lookup:
Space group number: 59
Schoenflies symbol: D2h^13
Hermann-Mauguin symbol: P m m n
Origin choice: 2
Hall symbol: -P 2ab 2a

Input space group symbol: P m m n :2
Convention: Default

Number of lattice translations: 1
Space group is centric.
Number of representative symmetry operations: 4
Total number of symmetry operations: 8

Parallelepiped containing an asymmetric unit:
0<=x<=1/4; 1/4<=y<=3/4; 0<=z<1

List of symmetry operations:
```
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
-x+1/2,-y+1/2,z 2[0,0,1]0,0,01/4,1/4,0
x+1/2,-y,-z 2[1,0,0]1/2,0,00,0,0
-x,y+1/2,-z 2[0,1,0]0,1/2,00,0,0
-x,-y,-z -1--0,0,0
x-1/2,y-1/2,-z -2[0,0,1]-1/2,-1/2,00,0,0
-x-1/2,y,z -2[1,0,0]0,0,0-1/4,0,0
x,-y-1/2,z -2[0,1,0]0,0,00,-1/4,0
```
List of Wyckoff positions:
```
Wyckoff letter Multiplicity Site symmetry
point group type
Representative special position operator
g81x,y,z
f4mx,1/4,z
e4m1/4,y,z
d4-10,0,1/2
c4-10,0,0
b2mm21/4,-1/4,z
a2mm21/4,1/4,z
```
Harker planes:
```
Algebraic Normal vector A point in the plane
2*x+1/2,2*y+1/2,0[0,0,1]1/2,1/2,0
1/2,2*y,2*z[1,0,0]1/2,0,0
2*x,1/2,2*z[0,1,0]0,1/2,0
```
Additional generators of Euclidean normalizer:
Number of structure-seminvariant vectors and moduli: 3
Vector    Modulus
(1, 0, 0) 2
(0, 1, 0) 2
(0, 0, 1) 2

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

```

[Index of services] [New input]