Bilbao Crystallographic Server arrow MPOINT - Magnetic Point Group Tables


Magnetic Point Group Tables of m'-3'm (#32.3.120)


Useful data about magnetic point group m'-3'm


Number of elements of the group (order): 48
This group is centrosymmetric
This group is not polar
This group is not compatible with ferromagnetism


Symmetry operations of the group


N (x,y,z) form matrix form Seitz symbol
1 x,y,z, +1
mx,my,mz
(
  1  0  0  
  0  1  0  
  0  0  1
)
 1
2 x,-y,-z, +1
mx,-my,-mz
(
  1  0  0  
  0  -1  0  
  0  0  -1
)
 2x
3 -x,y,-z, +1
-mx,my,-mz
(
  -1  0  0  
  0  1  0  
  0  0  -1
)
 2y
4 -x,-y,z, +1
-mx,-my,mz
(
  -1  0  0  
  0  -1  0  
  0  0  1
)
 2z
5 y,z,x, +1
my,mz,mx
(
  0  1  0  
  0  0  1  
  1  0  0
)
 3xyz-1
6 y,-z,-x, +1
my,-mz,-mx
(
  0  1  0  
  0  0  -1  
  -1  0  0
)
 3xy-z
7 -y,z,-x, +1
-my,mz,-mx
(
  0  -1  0  
  0  0  1  
  -1  0  0
)
 3-xyz
8 -y,-z,x, +1
-my,-mz,mx
(
  0  -1  0  
  0  0  -1  
  1  0  0
)
 3x-yz
9 z,x,y, +1
mz,mx,my
(
  0  0  1  
  1  0  0  
  0  1  0
)
 3xyz
10 z,-x,-y, +1
mz,-mx,-my
(
  0  0  1  
  -1  0  0  
  0  -1  0
)
 3x-yz-1
11 -z,x,-y, +1
-mz,mx,-my
(
  0  0  -1  
  1  0  0  
  0  -1  0
)
 3xy-z-1
12 -z,-x,y, +1
-mz,-mx,my
(
  0  0  -1  
  -1  0  0  
  0  1  0
)
 3-xyz-1
13 y,x,z, +1
-my, -mx, -mz
(
  0  1  0  
  1  0  0  
  0  0  1
)
 m-xy
14 y,-x,-z, +1
-my, mx, mz
(
  0  1  0  
  -1  0  0  
  0  0  -1
)
 -4z
15 -y,x,-z, +1
my, -mx, mz
(
  0  -1  0  
  1  0  0  
  0  0  -1
)
 -4z-1
16 -y,-x,z, +1
my, mx, -mz
(
  0  -1  0  
  -1  0  0  
  0  0  1
)
 mxy
17 x,z,y, +1
-mx, -mz, -my
(
  1  0  0  
  0  0  1  
  0  1  0
)
 m-yz
18 x,-z,-y, +1
-mx, mz, my
(
  1  0  0  
  0  0  -1  
  0  -1  0
)
 myz
19 -x,z,-y, +1
mx, -mz, my
(
  -1  0  0  
  0  0  1  
  0  -1  0
)
 -4x
20 -x,-z,y, +1
mx, mz, -my
(
  -1  0  0  
  0  0  -1  
  0  1  0
)
 -4x-1
21 z,y,x, +1
-mz, -my, -mx
(
  0  0  1  
  0  1  0  
  1  0  0
)
 m-xz
22 z,-y,-x, +1
-mz, my, mx
(
  0  0  1  
  0  -1  0  
  -1  0  0
)
 -4y-1
23 -z,y,-x, +1
mz, -my, mx
(
  0  0  -1  
  0  1  0  
  -1  0  0
)
 mxz
24 -z,-y,x, +1
mz, my, -mx
(
  0  0  -1  
  0  -1  0  
  1  0  0
)
 -4y
25 -y,-x,-z, -1
my, mx, mz
(
  0  -1  0  
  -1  0  0  
  0  0  -1
)'
 2-xy'
26 -y,x,z, -1
my, -mx, -mz
(
  0  -1  0  
  1  0  0  
  0  0  1
)'
 4z'
27 y,-x,z, -1
-my, mx, -mz
(
  0  1  0  
  -1  0  0  
  0  0  1
)'
 4z-1'
28 y,x,-z, -1
-my, -mx, mz
(
  0  1  0  
  1  0  0  
  0  0  -1
)'
 2xy'
29 -x,-z,-y, -1
mx, mz, my
(
  -1  0  0  
  0  0  -1  
  0  -1  0
)'
 2-yz'
30 -x,z,y, -1
mx, -mz, -my
(
  -1  0  0  
  0  0  1  
  0  1  0
)'
 2yz'
31 x,-z,y, -1
-mx, mz, -my
(
  1  0  0  
  0  0  -1  
  0  1  0
)'
 4x'
32 x,z,-y, -1
-mx, -mz, my
(
  1  0  0  
  0  0  1  
  0  -1  0
)'
 4x-1'
33 -z,-y,-x, -1
mz, my, mx
(
  0  0  -1  
  0  -1  0  
  -1  0  0
)'
 2-xz'
34 -z,y,x, -1
mz, -my, -mx
(
  0  0  -1  
  0  1  0  
  1  0  0
)'
 4y-1'
35 z,-y,x, -1
-mz, my, -mx
(
  0  0  1  
  0  -1  0  
  1  0  0
)'
 2xz'
36 z,y,-x, -1
-mz, -my, mx
(
  0  0  1  
  0  1  0  
  -1  0  0
)'
 4y'
37 -x,-y,-z, -1
-mx,-my,-mz
(
  -1  0  0  
  0  -1  0  
  0  0  -1
)'
 -1'
38 -x,y,z, -1
-mx,my,mz
(
  -1  0  0  
  0  1  0  
  0  0  1
)'
 mx'
39 x,-y,z, -1
mx,-my,mz
(
  1  0  0  
  0  -1  0  
  0  0  1
)'
 my'
40 x,y,-z, -1
mx,my,-mz
(
  1  0  0  
  0  1  0  
  0  0  -1
)'
 mz'
41 -y,-z,-x, -1
-my,-mz,-mx
(
  0  -1  0  
  0  0  -1  
  -1  0  0
)'
 -3xyz-1'
42 -y,z,x, -1
-my,mz,mx
(
  0  -1  0  
  0  0  1  
  1  0  0
)'
 -3xy-z'
43 y,-z,x, -1
my,-mz,mx
(
  0  1  0  
  0  0  -1  
  1  0  0
)'
 -3-xyz'
44 y,z,-x, -1
my,mz,-mx
(
  0  1  0  
  0  0  1  
  -1  0  0
)'
 -3x-yz'
45 -z,-x,-y, -1
-mz,-mx,-my
(
  0  0  -1  
  -1  0  0  
  0  -1  0
)'
 -3xyz'
46 -z,x,y, -1
-mz,mx,my
(
  0  0  -1  
  1  0  0  
  0  1  0
)'
 -3x-yz-1'
47 z,-x,y, -1
mz,-mx,my
(
  0  0  1  
  -1  0  0  
  0  1  0
)'
 -3xy-z-1'
48 z,x,-y, -1
mz,mx,-my
(
  0  0  1  
  1  0  0  
  0  -1  0
)'
 -3-xyz-1'

Subgroups Table

Symmetry-adapted form of material tensors for the magnetic point group m'-3'm (#32.3.120) via MTENSOR


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