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Result of symbol lookup:
  Space group number: 85
  Schoenflies symbol: C4h^3
  Hermann-Mauguin symbol: P 4/n
  Origin choice: 2
  Hall symbol: -P 4a

Input space group symbol: P 4/n :2
Convention: Default

Number of lattice translations: 1
Space group is centric.
Number of representative symmetry operations: 4
Total number of symmetry operations: 8

Parallelepiped containing an asymmetric unit:
  0<=x<=1/4; 1/4<=y<=3/4; 0<=z<1

List of symmetry operations:
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
-y+1/2,x,z 4^1[0,0,1]0,0,01/4,1/4,0
-x+1/2,-y+1/2,z 2[0,0,1]0,0,01/4,1/4,0
y,-x+1/2,z 4^-1[0,0,1]0,0,01/4,1/4,0
-x,-y,-z -1--0,0,0
y-1/2,-x,-z -4^1[0,0,1]0,0,0-1/4,1/4,0
x-1/2,y-1/2,-z -2[0,0,1]-1/2,-1/2,00,0,0
-y,x-1/2,-z -4^-1[0,0,1]0,0,01/4,-1/4,0

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type
Representative special position operator
g81x,y,z
f421/4,-1/4,z
e4-10,0,1/2
d4-10,0,0
c241/4,1/4,z
b2-41/4,-1/4,1/2
a2-41/4,-1/4,0

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

Additional generators of Euclidean normalizer:
  Number of structure-seminvariant vectors and moduli: 2
    Vector    Modulus
    (0, 0, 1) 2
    (1, 1, 0) 2
  Further generators:
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
y,x,z -2[-1,1,0]0,0,00,0,0

Grid factors implied by symmetries:
  Space group: (2, 2, 1)
  Structure-seminvariant vectors and moduli: (2, 2, 2)
  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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