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Result of symbol lookup:
Space group number: 185
Schoenflies symbol: C6v^3
HermannMauguin symbol: P 63 c m
Hall symbol: P 6c 2
Input space group symbol: P 63 c 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<=2/3; 0<=y<=1/3; 0<=z<1/2
List of symmetry operations:
Matrix
 Rotationpart type
 Axis direction
 Screw/glide component
 Origin shift

x,y,z
 1      

xy,x,z+1/2
 6^1  [0,0,1]  0,0,1/2  0,0,0

y,xy,z
 3^1  [0,0,1]  0,0,0  0,0,0

x,y,z+1/2
 2  [0,0,1]  0,0,1/2  0,0,0

x+y,x,z
 3^1  [0,0,1]  0,0,0  0,0,0

y,x+y,z+1/2
 6^1  [0,0,1]  0,0,1/2  0,0,0

y,x,z
 2  [1,1,0]  0,0,0  0,0,0

x+y,y,z+1/2
 2  [1,0,0]  0,0,1/2  0,0,0

x,x+y,z
 2  [2,1,0]  0,0,0  0,0,0

y,x,z+1/2
 2  [1,1,0]  0,0,1/2  0,0,0

xy,y,z
 2  [1,2,0]  0,0,0  0,0,0

x,xy,z+1/2
 2  [0,1,0]  0,0,1/2  0,0,0

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

d  12  1  x,y,z

c  6  m  x,0,z

b  4  3  1/3,1/3,z

a  2  3m  0,0,z

Harker planes:
Algebraic
 Normal vector
 A point in the plane

y,xy,1/2  [0,0,1]  0,0,1/2

xy,x2*y,0  [0,0,1]  0,0,0

Additional generators of Euclidean normalizer:
Number of structureseminvariant 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, 2)
Structureseminvariant vectors and moduli: (1, 1, 1)
Euclidean normalizer: (1, 1, 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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