Table of Magnetic Space Group Symbols

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F_S4₁32 [#210.55] (Type: 4 -- Type IV (klassengleiche))

[OG: P_F4₂32 #208.4.1549]

Operators of Group 210.55 (F_S4₁32)

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}

2^d.

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

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

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

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

3^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 (0,1/2,0) 1/4,y,0 +1

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

4^d.

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

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

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

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

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}

6^d.

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

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

3⁺ (1/3,-1/3,1/3) -x+1/6,x+1/6,-x +1

{3x-yz-1|1/2,0,1/2}

7^d.

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

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

3⁺ (-1/3,1/3,1/3) x+1/3,-x,-x +1

{3-xyz-1|0,1/2,1/2}

8^d.

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

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

3⁺ (1/3,1/3,-1/3) -x+1/6,-x+1/3,x +1

{3xy-z-1|1/2,1/2,0}

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^d.

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

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

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

{3-xyz|1/2,1/2,0}

11^d.

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

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

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

{3xy-z|1/2,0,1/2}

12^d.

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

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

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

{3x-yz|0,1/2,1/2}

13^d.

y+3/4,x+1/4,-z+3/4
m_y,m_x,-m_z

  0   1   0   3/4
  1   0   0   1/4
  0   0  -1   3/4

2 (1/2,1/2,0) x,x-1/4,3/8 +1

{2xy|3/4,1/4,3/4}

14.

-y+1/4,-x+1/4,-z+1/4
-m_y,-m_x,-m_z

  0  -1   0   1/4
 -1   0   0   1/4
  0   0  -1   1/4

2 x,-x+1/4,1/8 +1

{2-xy|1/4,1/4,1/4}

15^d.

y+1/4,-x+3/4,z+3/4
m_y,-m_x,m_z

  0   1   0   1/4
 -1   0   0   3/4
  0   0   1   3/4

4^- (0,0,3/4) 1/2,1/4,z +1

{4z-1|1/4,3/4,3/4}

16^d.

-y+3/4,x+3/4,z+1/4
-m_y,m_x,m_z

  0  -1   0   3/4
  1   0   0   3/4
  0   0   1   1/4

4⁺ (0,0,1/4) 0,3/4,z +1

{4z|3/4,3/4,1/4}

17^d.

x+3/4,z+1/4,-y+3/4
m_x,m_z,-m_y

  1   0   0   3/4
  0   0   1   1/4
  0  -1   0   3/4

4^- (3/4,0,0) x,1/2,1/4 +1

{4x-1|3/4,1/4,3/4}

18^d.

-x+3/4,z+3/4,y+1/4
-m_x,m_z,m_y

 -1   0   0   3/4
  0   0   1   3/4
  0   1   0   1/4

2 (0,1/2,1/2) 3/8,y+1/4,y +1

{2yz|3/4,3/4,1/4}

19.

-x+1/4,-z+1/4,-y+1/4
-m_x,-m_z,-m_y

 -1   0   0   1/4
  0   0  -1   1/4
  0  -1   0   1/4

2 1/8,y+1/4,-y +1

{2-yz|1/4,1/4,1/4}

20^d.

x+1/4,-z+3/4,y+3/4
m_x,-m_z,m_y

  1   0   0   1/4
  0   0  -1   3/4
  0   1   0   3/4

4⁺ (1/4,0,0) x,0,3/4 +1

{4x|1/4,3/4,3/4}

21^d.

z+3/4,y+1/4,-x+3/4
m_z,m_y,-m_x

  0   0   1   3/4
  0   1   0   1/4
 -1   0   0   3/4

4⁺ (0,1/4,0) 3/4,y,0 +1

{4y|3/4,1/4,3/4}

22^d.

z+1/4,-y+3/4,x+3/4
m_z,-m_y,m_x

  0   0   1   1/4
  0  -1   0   3/4
  1   0   0   3/4

2 (1/2,0,1/2) x-0.25,3/8,x +1

{2xz|1/4,3/4,3/4}

23^d.

-z+3/4,y+3/4,x+1/4
-m_z,m_y,m_x

  0   0  -1   3/4
  0   1   0   3/4
  1   0   0   1/4

4^- (0,3/4,0) 1/4,y,1/2 +1

{4y-1|3/4,3/4,1/4}

24.

-z+1/4,-y+1/4,-x+1/4
-m_z,-m_y,-m_x

  0   0  -1   1/4
  0  -1   0   1/4
 -1   0   0   1/4

2 -x+1/4,1/8,x +1

{2-xz|1/4,1/4,1/4}

25.

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

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

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

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

26.

-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}

27^d.

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

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

2 1/4,y,1/4 +1

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

28^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}

29^d.

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

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

3⁺ (1/3,1/3,1/3) x-0.33333,x-1/6,x +1

{3xyz|0,1/2,1/2}

30^d.

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

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

3⁺ -x+1/2,x,-x +1

{3x-yz-1|1/2,1/2,0}

31.

-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}

32^d.

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

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

3⁺ -x+1/2,-x+1/2,x +1

{3xy-z-1|1/2,0,1/2}

33^d.

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

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

3^- (1/3,1/3,1/3) x-0.16666,x+1/6,x +1

{3xyz-1|0,1/2,1/2}

34^d.

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

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

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

{3-xyz|1/2,0,1/2}

35^d.

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

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

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

{3xy-z|1/2,1/2,0}

36.

-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}

37^d.

y+3/4,x+3/4,-z+1/4
m_y,m_x,-m_z

  0   1   0   3/4
  1   0   0   3/4
  0   0  -1   1/4

2 (3/4,3/4,0) x,x,1/8 +1

{2xy|3/4,3/4,1/4}

38^d.

-y+1/4,-x+3/4,-z+3/4
-m_y,-m_x,-m_z

  0  -1   0   1/4
 -1   0   0   3/4
  0   0  -1   3/4

2 (-1/4,1/4,0) x,-x+1/2,3/8 +1

{2-xy|1/4,3/4,3/4}

39.

y+1/4,-x+1/4,z+1/4
m_y,-m_x,m_z

  0   1   0   1/4
 -1   0   0   1/4
  0   0   1   1/4

4^- (0,0,1/4) 1/4,0,z +1

{4z-1|1/4,1/4,1/4}

40^d.

-y+3/4,x+1/4,z+3/4
-m_y,m_x,m_z

  0  -1   0   3/4
  1   0   0   1/4
  0   0   1   3/4

4⁺ (0,0,3/4) 1/4,1/2,z +1

{4z|3/4,1/4,3/4}

41^d.

x+3/4,z+3/4,-y+1/4
m_x,m_z,-m_y

  1   0   0   3/4
  0   0   1   3/4
  0  -1   0   1/4

4^- (3/4,0,0) x,1/2,-1/4 +1

{4x-1|3/4,3/4,1/4}

42^d.

-x+3/4,z+1/4,y+3/4
-m_x,m_z,m_y

 -1   0   0   3/4
  0   0   1   1/4
  0   1   0   3/4

2 (0,1/2,1/2) 3/8,y-1/4,y +1

{2yz|3/4,1/4,3/4}

43^d.

-x+1/4,-z+3/4,-y+3/4
-m_x,-m_z,-m_y

 -1   0   0   1/4
  0   0  -1   3/4
  0  -1   0   3/4

2 1/8,y+3/4,-y +1

{2-yz|1/4,3/4,3/4}

44.

x+1/4,-z+1/4,y+1/4
m_x,-m_z,m_y

  1   0   0   1/4
  0   0  -1   1/4
  0   1   0   1/4

4⁺ (1/4,0,0) x,0,1/4 +1

{4x|1/4,1/4,1/4}

45^d.

z+3/4,y+3/4,-x+1/4
m_z,m_y,-m_x

  0   0   1   3/4
  0   1   0   3/4
 -1   0   0   1/4

4⁺ (0,3/4,0) 1/2,y,-1/4 +1

{4y|3/4,3/4,1/4}

46.

z+1/4,-y+1/4,x+1/4
m_z,-m_y,m_x

  0   0   1   1/4
  0  -1   0   1/4
  1   0   0   1/4

2 (1/4,0,1/4) x,1/8,x +1

{2xz|1/4,1/4,1/4}

47^d.

-z+3/4,y+1/4,x+3/4
-m_z,m_y,m_x

  0   0  -1   3/4
  0   1   0   1/4
  1   0   0   3/4

4^- (0,1/4,0) 0,y,3/4 +1

{4y-1|3/4,1/4,3/4}

48^d.

-z+1/4,-y+3/4,-x+3/4
-m_z,-m_y,-m_x

  0   0  -1   1/4
  0  -1   0   3/4
 -1   0   0   3/4

2 (-1/4,0,1/4) -x+1/2,3/8,x +1

{2-xz|1/4,3/4,3/4}

49.

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

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

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

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

50^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 1/4,1/4,z +1

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

51^d.

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

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

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

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

52.

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}

53^d.

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

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

3⁺ (1/3,1/3,1/3) x+1/6,x-1/6,x +1

{3xyz|1/2,0,1/2}

54.

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}

55^d.

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

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

3⁺ x+1/2,-x,-x +1

{3-xyz-1|1/2,1/2,0}

56^d.

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

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

3⁺ -x,-x+1/2,x +1

{3xy-z-1|0,1/2,1/2}

57^d.

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

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

3^- (1/3,1/3,1/3) x-0.16667,x-1/3,x +1

{3xyz-1|1/2,0,1/2}

58^d.

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

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

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

{3-xyz|0,1/2,1/2}

59.

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}

60^d.

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

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

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

{3x-yz|1/2,1/2,0}

61.

y+1/4,x+1/4,-z+1/4
m_y,m_x,-m_z

  0   1   0   1/4
  1   0   0   1/4
  0   0  -1   1/4

2 (1/4,1/4,0) x,x,1/8 +1

{2xy|1/4,1/4,1/4}

62^d.

-y+3/4,-x+1/4,-z+3/4
-m_y,-m_x,-m_z

  0  -1   0   3/4
 -1   0   0   1/4
  0   0  -1   3/4

2 (1/4,-1/4,0) x,-x+1/2,3/8 +1

{2-xy|3/4,1/4,3/4}

63^d.

y+3/4,-x+3/4,z+1/4
m_y,-m_x,m_z

  0   1   0   3/4
 -1   0   0   3/4
  0   0   1   1/4

4^- (0,0,1/4) 3/4,0,z +1

{4z-1|3/4,3/4,1/4}

64^d.

-y+1/4,x+3/4,z+3/4
-m_y,m_x,m_z

  0  -1   0   1/4
  1   0   0   3/4
  0   0   1   3/4

4⁺ (0,0,3/4) -1/4,1/2,z +1

{4z|1/4,3/4,3/4}

65.

x+1/4,z+1/4,-y+1/4
m_x,m_z,-m_y

  1   0   0   1/4
  0   0   1   1/4
  0  -1   0   1/4

4^- (1/4,0,0) x,1/4,0 +1

{4x-1|1/4,1/4,1/4}

66^d.

-x+1/4,z+3/4,y+3/4
-m_x,m_z,m_y

 -1   0   0   1/4
  0   0   1   3/4
  0   1   0   3/4

2 (0,3/4,3/4) 1/8,y,y +1

{2yz|1/4,3/4,3/4}

67^d.

-x+3/4,-z+1/4,-y+3/4
-m_x,-m_z,-m_y

 -1   0   0   3/4
  0   0  -1   1/4
  0  -1   0   3/4

2 (0,-1/4,1/4) 3/8,y+1/2,-y +1

{2-yz|3/4,1/4,3/4}

68^d.

x+3/4,-z+3/4,y+1/4
m_x,-m_z,m_y

  1   0   0   3/4
  0   0  -1   3/4
  0   1   0   1/4

4⁺ (3/4,0,0) x,1/4,1/2 +1

{4x|3/4,3/4,1/4}

69.

z+1/4,y+1/4,-x+1/4
m_z,m_y,-m_x

  0   0   1   1/4
  0   1   0   1/4
 -1   0   0   1/4

4⁺ (0,1/4,0) 1/4,y,0 +1

{4y|1/4,1/4,1/4}

70^d.

z+3/4,-y+3/4,x+1/4
m_z,-m_y,m_x

  0   0   1   3/4
  0  -1   0   3/4
  1   0   0   1/4

2 (1/2,0,1/2) x+1/4,3/8,x +1

{2xz|3/4,3/4,1/4}

71^d.

-z+1/4,y+3/4,x+3/4
-m_z,m_y,m_x

  0   0  -1   1/4
  0   1   0   3/4
  1   0   0   3/4

4^- (0,3/4,0) -1/4,y,1/2 +1

{4y-1|1/4,3/4,3/4}

72^d.

-z+3/4,-y+1/4,-x+3/4
-m_z,-m_y,-m_x

  0   0  -1   3/4
  0  -1   0   1/4
 -1   0   0   3/4

2 -x+3/4,1/8,x +1

{2-xz|3/4,1/4,3/4}

73.

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}

74^d.

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

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

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

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

75.

-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}

76^d.

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

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

2 x,1/4,1/4 +1

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

77^d.

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

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

3⁺ (1/3,1/3,1/3) x+1/6,x+1/3,x +1

{3xyz|1/2,1/2,0}

78^d.

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

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

3⁺ -x,x+1/2,-x +1

{3x-yz-1|0,1/2,1/2}

79^d.

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

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

3⁺ x+1/2,-x,-x +1

{3-xyz-1|1/2,0,1/2}

80.

-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}

81^d.

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

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

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

{3xyz-1|1/2,1/2,0}

82.

-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}

83^d.

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

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

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

{3xy-z|0,1/2,1/2}

84^d.

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

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

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

{3x-yz|1/2,0,1/2}

85^d.

y+1/4,x+3/4,-z+3/4
m_y,m_x,-m_z

  0   1   0   1/4
  1   0   0   3/4
  0   0  -1   3/4

2 (1/2,1/2,0) x,x+1/4,3/8 +1

{2xy|1/4,3/4,3/4}

86^d.

-y+3/4,-x+3/4,-z+1/4
-m_y,-m_x,-m_z

  0  -1   0   3/4
 -1   0   0   3/4
  0   0  -1   1/4

2 x,-x+3/4,1/8 +1

{2-xy|3/4,3/4,1/4}

87^d.

y+3/4,-x+1/4,z+3/4
m_y,-m_x,m_z

  0   1   0   3/4
 -1   0   0   1/4
  0   0   1   3/4

4^- (0,0,3/4) 1/2,-1/4,z +1

{4z-1|3/4,1/4,3/4}

88.

-y+1/4,x+1/4,z+1/4
-m_y,m_x,m_z

  0  -1   0   1/4
  1   0   0   1/4
  0   0   1   1/4

4⁺ (0,0,1/4) 0,1/4,z +1

{4z|1/4,1/4,1/4}

89^d.

x+1/4,z+3/4,-y+3/4
m_x,m_z,-m_y

  1   0   0   1/4
  0   0   1   3/4
  0  -1   0   3/4

4^- (1/4,0,0) x,3/4,0 +1

{4x-1|1/4,3/4,3/4}

90.

-x+1/4,z+1/4,y+1/4
-m_x,m_z,m_y

 -1   0   0   1/4
  0   0   1   1/4
  0   1   0   1/4

2 (0,1/4,1/4) 1/8,y,y +1

{2yz|1/4,1/4,1/4}

91^d.

-x+3/4,-z+3/4,-y+1/4
-m_x,-m_z,-m_y

 -1   0   0   3/4
  0   0  -1   3/4
  0  -1   0   1/4

2 (0,1/4,-1/4) 3/8,y+1/2,-y +1

{2-yz|3/4,3/4,1/4}

92^d.

x+3/4,-z+1/4,y+3/4
m_x,-m_z,m_y

  1   0   0   3/4
  0   0  -1   1/4
  0   1   0   3/4

4⁺ (3/4,0,0) x,-1/4,1/2 +1

{4x|3/4,1/4,3/4}

93^d.

z+1/4,y+3/4,-x+3/4
m_z,m_y,-m_x

  0   0   1   1/4
  0   1   0   3/4
 -1   0   0   3/4

4⁺ (0,3/4,0) 1/2,y,1/4 +1

{4y|1/4,3/4,3/4}

94^d.

z+3/4,-y+1/4,x+3/4
m_z,-m_y,m_x

  0   0   1   3/4
  0  -1   0   1/4
  1   0   0   3/4

2 (3/4,0,3/4) x,1/8,x +1

{2xz|3/4,1/4,3/4}

95.

-z+1/4,y+1/4,x+1/4
-m_z,m_y,m_x

  0   0  -1   1/4
  0   1   0   1/4
  1   0   0   1/4

4^- (0,1/4,0) 0,y,1/4 +1

{4y-1|1/4,1/4,1/4}

96^d.

-z+3/4,-y+3/4,-x+1/4
-m_z,-m_y,-m_x

  0   0  -1   3/4
  0  -1   0   3/4
 -1   0   0   1/4

2 (1/4,0,-1/4) -x+1/2,3/8,x +1

{2-xz|3/4,3/4,1/4}

97.

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

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

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

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

98.

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}'

99.

-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}'

100.

-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}'

101.

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}'

102.

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}'

103.

-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}'

104.

-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}'

105.

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}'

106.

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}'

107.

-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}'

108.

-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}'

109.

-y+3/4,-x+3/4,-z+3/4
m_y,m_x,m_z

  0  -1   0   3/4
 -1   0   0   3/4
  0   0  -1   3/4

2 x,-x+3/4,3/8 -1

{2-xy|3/4,3/4,3/4}'

110.

-y+3/4,x+3/4,z+3/4
m_y,-m_x,-m_z

  0  -1   0   3/4
  1   0   0   3/4
  0   0   1   3/4

4⁺ (0,0,3/4) 0,3/4,z -1

{4z|3/4,3/4,3/4}'

111.

y+3/4,-x+3/4,z+3/4
-m_y,m_x,-m_z

  0   1   0   3/4
 -1   0   0   3/4
  0   0   1   3/4

4^- (0,0,3/4) 3/4,0,z -1

{4z-1|3/4,3/4,3/4}'

112.

y+3/4,x+3/4,-z+3/4
-m_y,-m_x,m_z

  0   1   0   3/4
  1   0   0   3/4
  0   0  -1   3/4

2 (3/4,3/4,0) x,x,3/8 -1

{2xy|3/4,3/4,3/4}'

113.

-x+3/4,-z+3/4,-y+3/4
m_x,m_z,m_y

 -1   0   0   3/4
  0   0  -1   3/4
  0  -1   0   3/4

2 3/8,y+3/4,-y -1

{2-yz|3/4,3/4,3/4}'

114.

-x+3/4,z+3/4,y+3/4
m_x,-m_z,-m_y

 -1   0   0   3/4
  0   0   1   3/4
  0   1   0   3/4

2 (0,3/4,3/4) 3/8,y,y -1

{2yz|3/4,3/4,3/4}'

115.

x+3/4,-z+3/4,y+3/4
-m_x,m_z,-m_y

  1   0   0   3/4
  0   0  -1   3/4
  0   1   0   3/4

4⁺ (3/4,0,0) x,0,3/4 -1

{4x|3/4,3/4,3/4}'

116.

x+3/4,z+3/4,-y+3/4
-m_x,-m_z,m_y

  1   0   0   3/4
  0   0   1   3/4
  0  -1   0   3/4

4^- (3/4,0,0) x,3/4,0 -1

{4x-1|3/4,3/4,3/4}'

117.

-z+3/4,-y+3/4,-x+3/4
m_z,m_y,m_x

  0   0  -1   3/4
  0  -1   0   3/4
 -1   0   0   3/4

2 -x+3/4,3/8,x -1

{2-xz|3/4,3/4,3/4}'

118.

-z+3/4,y+3/4,x+3/4
m_z,-m_y,-m_x

  0   0  -1   3/4
  0   1   0   3/4
  1   0   0   3/4

4^- (0,3/4,0) 0,y,3/4 -1

{4y-1|3/4,3/4,3/4}'

119.

z+3/4,-y+3/4,x+3/4
-m_z,m_y,-m_x

  0   0   1   3/4
  0  -1   0   3/4
  1   0   0   3/4

2 (3/4,0,3/4) x,3/8,x -1

{2xz|3/4,3/4,3/4}'

120.

z+3/4,y+3/4,-x+3/4
-m_z,-m_y,m_x

  0   0   1   3/4
  0   1   0   3/4
 -1   0   0   3/4

4⁺ (0,3/4,0) 3/4,y,0 -1

{4y|3/4,3/4,3/4}'

FS4132 [#210.55] (Type: 4 -- Type IV (klassengleiche))

[OG: PF4232 #208.4.1549]

Operators of Group 210.55 (FS4132)

F_S4₁32 [#210.55] (Type: 4 -- Type IV (klassengleiche))

[OG: P_F4₂32 #208.4.1549]

Operators of Group 210.55 (F_S4₁32)