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Result of symbol lookup:
  Space group number: 49
  Schoenflies symbol: D2h^3
  Hermann-Mauguin symbol: P c c m
  Hall symbol: -P 2 2c

Input space group symbol: P c c m
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<=1/2; 0<=y<=1/2; 0<=z<=1/2

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,-y,-z+1/2 2[1,0,0]0,0,00,0,1/4
-x,y,-z+1/2 2[0,1,0]0,0,00,0,1/4
-x,-y,-z -1--0,0,0
x,y,-z -2[0,0,1]0,0,00,0,0
-x,y,z-1/2 -2[1,0,0]0,0,-1/20,0,0
x,-y,z-1/2 -2[0,1,0]0,0,-1/20,0,0

List of Wyckoff positions:
Wyckoff letter Multiplicity Site symmetry
point group type
Representative special position operator
r81x,y,z
q4mx,y,0
p421/2,0,z
o420,1/2,z
n421/2,1/2,z
m420,0,z
l421/2,y,1/4
k420,y,1/4
j42x,1/2,1/4
i42x,0,1/4
h22221/2,1/2,1/4
g22220,1/2,1/4
f22221/2,0,1/4
e22220,0,1/4
d22/m1/2,0,0
c22/m0,1/2,0
b22/m1/2,1/2,0
a22/m0,0,0

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

Additional generators of Euclidean normalizer:
  Number of structure-seminvariant vectors and moduli: 3
    Vector    Modulus
    (1, 0, 0) 2
    (0, 1, 0) 2
    (0, 0, 1) 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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