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Result of symbol lookup:
  Space group number: 124
  Schoenflies symbol: D4h^2
  Hermann-Mauguin symbol: P 4/m c c
  Hall symbol: -P 4 2c

Input space group symbol: P 4/m c c
Convention: Default

Number of lattice translations: 1
Space group is centric.
Number of representative symmetry operations: 8
Total number of symmetry operations: 16

Parallelepiped containing an asymmetric unit:
  0<=x<=1/2; 0<=y<=1/2; 0<=z<=1/4

List of symmetry operations:
Matrix Rotation-part type Axis direction Screw/glide component Origin shift
x,y,z 1---
-y,x,z 4^1[0,0,1]0,0,00,0,0
-x,-y,z 2[0,0,1]0,0,00,0,0
y,-x,z 4^-1[0,0,1]0,0,00,0,0
x,-y,-z+1/2 2[1,0,0]0,0,00,0,1/4
y,x,-z+1/2 2[1,1,0]0,0,00,0,1/4
-x,y,-z+1/2 2[0,1,0]0,0,00,0,1/4
-y,-x,-z+1/2 2[-1,1,0]0,0,00,0,1/4
-x,-y,-z -1--0,0,0
y,-x,-z -4^1[0,0,1]0,0,00,0,0
x,y,-z -2[0,0,1]0,0,00,0,0
-y,x,-z -4^-1[0,0,1]0,0,00,0,0
-x,y,z-1/2 -2[1,0,0]0,0,-1/20,0,0
-y,-x,z-1/2 -2[1,1,0]0,0,-1/20,0,0
x,-y,z-1/2 -2[0,1,0]0,0,-1/20,0,0
y,x,z-1/2 -2[-1,1,0]0,0,-1/20,0,0 

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type 		Representative special position operator
n161x,y,z
m8mx,y,0
l82x,1/2,1/4
k82x,0,1/4
j82x,x,1/4
i820,1/2,z
h441/2,1/2,z
g440,0,z
f42220,1/2,1/4
e42/m0,1/2,0
d24/m1/2,1/2,0
c24221/2,1/2,1/4
b24/m0,0,0
a24220,0,1/4 

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

Additional generators of Euclidean normalizer:
  Number of structure-seminvariant vectors and moduli: 2
    Vector    Modulus
    (0, 0, 1) 2
    (1, 1, 0) 2

Grid factors implied by symmetries:
  Space group: (1, 1, 2)
  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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