Table of Magnetic Space Group Symbols

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Operators of Group 20.31 (C222₁)

x,y,z
m_x,m_y,m_z

  1   0   0     0
  0   1   0     0
  0   0   1     0

1 +1

{1|0,0,0}

-x,-y,z+1/2
-m_x,-m_y,m_z

 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2

2 (0,0,1/2) 0,0,z +1

{2z|0,0,1/2}

-x,y,-z+1/2
-m_x,m_y,-m_z

 -1   0   0     0
  0   1   0     0
  0   0  -1   1/2

2 0,y,1/4 +1

{2y|0,0,1/2}

x,-y,-z
m_x,-m_y,-m_z

  1   0   0     0
  0  -1   0     0
  0   0  -1     0

2 x,0,0 +1

{2x|0,0,0}

x+1/2,y+1/2,z
m_x,m_y,m_z

  1   0   0   1/2
  0   1   0   1/2
  0   0   1     0

t (1/2,1/2,0) +1

{1|1/2,1/2,0}

6^d.

-x+1/2,-y+1/2,z+1/2
-m_x,-m_y,m_z

 -1   0   0   1/2
  0  -1   0   1/2
  0   0   1   1/2

2 (0,0,1/2) 1/4,1/4,z +1

{2z|1/2,1/2,1/2}

7^d.

-x+1/2,y+1/2,-z+1/2
-m_x,m_y,-m_z

 -1   0   0   1/2
  0   1   0   1/2
  0   0  -1   1/2

2 (0,1/2,0) 1/4,y,1/4 +1

{2y|1/2,1/2,1/2}

8^d.

x+1/2,-y+1/2,-z
m_x,-m_y,-m_z

  1   0   0   1/2
  0  -1   0   1/2
  0   0  -1     0

2 (1/2,0,0) x,1/4,0 +1

{2x|1/2,1/2,0}

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