Table of Magnetic Space Group Symbols

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Operators of Group 170.117 (P6₅)

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}

-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}

y,-x+y,z+1/6
m_y,-m_x+m_y,m_z

  0   1   0     0
 -1   1   0     0
  0   0   1   1/6

6^- (0,0,1/6) 0,0,z +1

{6z-1|0,0,1/6}

x-y,x,z+5/6
m_x-m_y,m_x,m_z

  1  -1   0     0
  1   0   0     0
  0   0   1   5/6

6⁺ (0,0,5/6) 0,0,z +1

{6z|0,0,5/6}

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