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Result of symbol lookup:
  Space group number: 183
  Schoenflies symbol: C6v^1
  Hermann-Mauguin symbol: P 6 m m
  Hall symbol: P 6 -2

Input space group symbol: P 6 m m
Convention: Default

Number of lattice translations: 1
Space group is acentric.
Number of representative symmetry operations: 12
Total number of symmetry operations: 12

Parallelepiped containing an asymmetric unit:
  0<=x<=1/2; -1/3<=y<=0; 0<=z<1

List of symmetry operations:
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
x-y,x,z 6^1[0,0,1]0,0,00,0,0
-y,x-y,z 3^1[0,0,1]0,0,00,0,0
-x,-y,z 2[0,0,1]0,0,00,0,0
-x+y,-x,z 3^-1[0,0,1]0,0,00,0,0
y,-x+y,z 6^-1[0,0,1]0,0,00,0,0
y,x,z -2[-1,1,0]0,0,00,0,0
-x+y,y,z -2[1,0,0]0,0,00,0,0
-x,-x+y,z -2[2,1,0]0,0,00,0,0
-y,-x,z -2[1,1,0]0,0,00,0,0
x-y,-y,z -2[1,2,0]0,0,00,0,0
x,x-y,z -2[0,1,0]0,0,00,0,0

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: 1
    Vector    Modulus
    (0, 0, 1) 0
  Inversion through a centre at: 0,0,0

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

  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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