Table of Magnetic Space Group Symbols

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Operators of Group 153.39 (P3₂12')

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}

-y,x-y,z+2/3
-m_y,m_x-m_y,m_z

  0  -1   0     0
  1  -1   0     0
  0   0   1   2/3

3⁺ (0,0,2/3) 0,0,z +1

{3z|0,0,2/3}

-x+y,-x,z+1/3
-m_x+m_y,-m_x,m_z

 -1   1   0     0
 -1   0   0     0
  0   0   1   1/3

3^- (0,0,1/3) 0,0,z +1

{3z-1|0,0,1/3}

-y,-x,-z+1/3
m_y,m_x,m_z

  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/3

2 x,-x,1/6 -1

{23|0,0,1/3}'

-x+y,y,-z+2/3
m_x-m_y,-m_y,m_z

 -1   1   0     0
  0   1   0     0
  0   0  -1   2/3

2 x,2x,1/3 -1

{22|0,0,2/3}'

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

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

2 2x,x,0 -1

{21|0,0,0}'

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