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Result of symbol lookup:
  Space group number: 31
  Schoenflies symbol: C2v^7
  Hermann-Mauguin symbol: P m n 21
  Hall symbol: P 2ac -2

Input space group symbol: P m n 21
Convention: Default

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

Parallelepiped containing an asymmetric unit:
  0<=x<=1/2; 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+1/2,-y,z+1/2 2[0,0,1]0,0,1/21/4,0,0
-x,y,z -2[1,0,0]0,0,00,0,0
x+1/2,-y,z+1/2 -2[0,1,0]1/2,0,1/20,0,0

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type
Representative special position operator
b41x,y,z
a2m0,y,z

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

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) 0
  Inversion through a centre at: 0,0,0

Grid factors implied by symmetries:
  Space group: (2, 1, 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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