Table of Magnetic Space Group Symbols

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I4'32' [#211.58] (Type: 3 -- Type III (translationgleiche))

[OG: I4'32' #211.3.1558]

Operators of Group 211.58 (I4'32')

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
-m_x,-m_y,m_z

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

2 0,0,z +1

{2z|0,0,0}

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

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

2 0,y,0 +1

{2y|0,0,0}

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}

z,x,y
m_z,m_x,m_y

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

3⁺ x,x,x +1

{3xyz|0,0,0}

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

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

3⁺ -x,x,-x +1

{3x-yz-1|0,0,0}

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

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

3⁺ x,-x,-x +1

{3-xyz-1|0,0,0}

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

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

3⁺ -x,-x,x +1

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

y,z,x
m_y,m_z,m_x

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

3^- x,x,x +1

{3xyz-1|0,0,0}

10.

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

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

3^- x,-x,-x +1

{3-xyz|0,0,0}

11.

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

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

3^- -x,-x,x +1

{3xy-z|0,0,0}

12.

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

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

3^- -x,x,-x +1

{3x-yz|0,0,0}

13.

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

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

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

14^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}

15^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}

16^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 (1/2,0,0) x,1/4,1/4 +1

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

17^d.

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

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

3⁺ (1/2,1/2,1/2) x,x,x +1

{3xyz|1/2,1/2,1/2}

18^d.

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

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

3⁺ (1/6,-1/6,1/6) -x+1/3,x+1/3,-x +1

{3x-yz-1|1/2,1/2,1/2}

19^d.

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

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

3⁺ (-1/6,1/6,1/6) x+2/3,-x,-x +1

{3-xyz-1|1/2,1/2,1/2}

20^d.

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

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

3⁺ (1/6,1/6,-1/6) -x+1/3,-x+2/3,x +1

{3xy-z-1|1/2,1/2,1/2}

21^d.

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

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

3^- (1/2,1/2,1/2) x,x,x +1

{3xyz-1|1/2,1/2,1/2}

22^d.

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

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

3^- (-1/6,1/6,1/6) x+1/3,-x+1/3,-x +1

{3-xyz|1/2,1/2,1/2}

23^d.

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

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

3^- (1/6,1/6,-1/6) -x+2/3,-x+1/3,x +1

{3xy-z|1/2,1/2,1/2}

24^d.

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

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

3^- (1/6,-1/6,1/6) -x-1/3,x+2/3,-x +1

{3x-yz|1/2,1/2,1/2}

25.

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

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

2 x,x,0 -1

{2xy|0,0,0}'

26.

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

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

2 x,-x,0 -1

{2-xy|0,0,0}'

27.

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

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

4^- 0,0,z -1

{4z-1|0,0,0}'

28.

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

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

4⁺ 0,0,z -1

{4z|0,0,0}'

29.

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

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

4^- x,0,0 -1

{4x-1|0,0,0}'

30.

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

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

2 0,y,y -1

{2yz|0,0,0}'

31.

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

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

2 0,y,-y -1

{2-yz|0,0,0}'

32.

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

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

4⁺ x,0,0 -1

{4x|0,0,0}'

33.

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

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

4⁺ 0,y,0 -1

{4y|0,0,0}'

34.

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

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

2 x,0,x -1

{2xz|0,0,0}'

35.

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

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

4^- 0,y,0 -1

{4y-1|0,0,0}'

36.

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

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

2 -x,0,x -1

{2-xz|0,0,0}'