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Result of symbol lookup:
  Space group number: 160
  Schoenflies symbol: C3v^5
  Hermann-Mauguin symbol: R 3 m
  Trigonal using hexagonal axes
  Hall symbol: R 3 -2"

Input space group symbol: R 3 m :H
Convention: Default

Number of lattice translations: 3
Space group is acentric.
Number of representative symmetry operations: 6
Total number of symmetry operations: 18

Parallelepiped containing an asymmetric unit:
  0<=x<=5/12; 0<=y<1/4; 0<=z<1

List of symmetry operations:
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
-y,x-y,z 3^1[0,0,1]0,0,00,0,0
-x+y,-x,z 3^-1[0,0,1]0,0,00,0,0
-y,-x,z -2[1,1,0]0,0,00,0,0
x,x-y,z -2[0,1,0]0,0,00,0,0
-x+y,y,z -2[1,0,0]0,0,00,0,0
x+2/3,y+1/3,z+1/3 1---
-y+2/3,x-y+1/3,z+1/3 3^1[0,0,1]0,0,1/31/3,1/3,0
-x+y+2/3,-x+1/3,z+1/3 3^-1[0,0,1]0,0,1/31/3,0,0
-y+2/3,-x+1/3,z+1/3 -2[1,1,0]1/6,-1/6,1/31/2,0,0
x+2/3,x-y+1/3,z+1/3 -2[0,1,0]2/3,1/3,1/30,0,0
-x+y+2/3,y+1/3,z+1/3 -2[1,0,0]1/6,1/3,1/31/4,0,0
x+1/3,y+2/3,z+2/3 1---
-y+1/3,x-y+2/3,z+2/3 3^1[0,0,1]0,0,2/30,1/3,0
-x+y+1/3,-x+2/3,z+2/3 3^-1[0,0,1]0,0,2/31/3,1/3,0
-y+1/3,-x+2/3,z+2/3 -2[1,1,0]-1/6,1/6,2/31/2,0,0
x+1/3,x-y+2/3,z+2/3 -2[0,1,0]1/3,1/6,2/3-1/2,0,0
-x+y+1/3,y+2/3,z+2/3 -2[1,0,0]1/3,2/3,2/30,0,0 

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type 		Representative special position operator
c181x,y,z
b9mx,-x,z
a33m0,0,z 

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

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: (3, 3, 3)
  Structure-seminvariant vectors and moduli: (1, 1, 1)
  Euclidean normalizer: (3, 3, 3)

  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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