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Result of symbol lookup:
  Space group number: 43
  Schoenflies symbol: C2v^19
  Hermann-Mauguin symbol: F d d 2
  Hall symbol: F 2 -2d

Input space group symbol: F d d 2
Convention: Default

Number of lattice translations: 4
Space group is acentric.
Number of representative symmetry operations: 4
Total number of symmetry operations: 16

Parallelepiped containing an asymmetric unit:
  0<=x<1/2; 0<=y<=1/8; 0<=z<1

List of symmetry operations:
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
-x,-y,z 2[0,0,1]0,0,00,0,0
-x+1/4,y+1/4,z+1/4 -2[1,0,0]0,1/4,1/41/8,0,0
x+3/4,-y+3/4,z+1/4 -2[0,1,0]3/4,0,1/40,3/8,0
x,y+1/2,z+1/2 1---
-x,-y+1/2,z+1/2 2[0,0,1]0,0,1/20,1/4,0
-x+1/4,y+3/4,z+3/4 -2[1,0,0]0,3/4,3/41/8,0,0
x+3/4,-y+5/4,z+3/4 -2[0,1,0]3/4,0,3/40,5/8,0
x+1/2,y,z+1/2 1---
-x+1/2,-y,z+1/2 2[0,0,1]0,0,1/21/4,0,0
-x+3/4,y+1/4,z+3/4 -2[1,0,0]0,1/4,3/43/8,0,0
x+5/4,-y+3/4,z+3/4 -2[0,1,0]5/4,0,3/40,3/8,0
x+1/2,y+1/2,z 1---
-x+1/2,-y+1/2,z 2[0,0,1]0,0,01/4,1/4,0
-x+3/4,y+3/4,z+1/4 -2[1,0,0]0,3/4,1/43/8,0,0
x+5/4,-y+5/4,z+1/4 -2[0,1,0]5/4,0,1/40,5/8,0

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type
Representative special position operator
b161x,y,z
a820,0,z

Harker planes:
Algebraic Normal vector A point in the plane
2*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: 1/8,1/8,0

Grid factors implied by symmetries:
  Space group: (4, 4, 4)
  Structure-seminvariant vectors and moduli: (1, 1, 1)
  Euclidean normalizer: (4, 4, 4)

  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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