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PF-4'3m' [#215.5.1576] (Type: 4 -- Type IV (klassengleiche))

[BNS: FS-43c] #219.88

Operators of Group 215.5.1576 (PF-4'3m')


Fatal error: Uncaught Error: Call to undefined function split() in /bcs/branches/www/www/magnetic_space_groups/construct/matrix_functions.inc.php:197 Stack trace: #0 /bcs/branches/www_copy/www/html/cryst/magnext.php(486): mxmymz_from_xyz_det_mag('x,y,z', -1, '-1') #1 {main} thrown in /bcs/branches/www/www/magnetic_space_groups/construct/matrix_functions.inc.php on line 197
1.x,y,z
mx,my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     0
 )
1 +1 {1|0,0,0}
2.x,-y,-z
mx,-my,-mz
( 
  1   0   0     0
  0  -1   0     0
  0   0  -1     0
 )
2 x,0,0 +1 {2x|0,0,0}
3.-x,y,-z
-mx,my,-mz
( 
 -1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
2 0,y,0 +1 {2y|0,0,0}
4.-x,-y,z
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1     0
 )
2 0,0,z +1 {2z|0,0,0}
5.y,z,x
my,mz,mx
( 
  0   1   0     0
  0   0   1     0
  1   0   0     0
 )
3- x,x,x +1 {3xyz-1|0,0,0}
6.y,-z,-x
my,-mz,-mx
( 
  0   1   0     0
  0   0  -1     0
 -1   0   0     0
 )
3- -x,-x,x +1 {3xy-z|0,0,0}
7.-y,z,-x
-my,mz,-mx
( 
  0  -1   0     0
  0   0   1     0
 -1   0   0     0
 )
3- x,-x,-x +1 {3-xyz|0,0,0}
8.-y,-z,x
-my,-mz,mx
( 
  0  -1   0     0
  0   0  -1     0
  1   0   0     0
 )
3- -x,x,-x +1 {3x-yz|0,0,0}
9.z,x,y
mz,mx,my
( 
  0   0   1     0
  1   0   0     0
  0   1   0     0
 )
3+ x,x,x +1 {3xyz|0,0,0}
10.z,-x,-y
mz,-mx,-my
( 
  0   0   1     0
 -1   0   0     0
  0  -1   0     0
 )
3+ -x,x,-x +1 {3x-yz-1|0,0,0}
11.-z,x,-y
-mz,mx,-my
( 
  0   0  -1     0
  1   0   0     0
  0  -1   0     0
 )
3+ -x,-x,x +1 {3xy-z-1|0,0,0}
12.-z,-x,y
-mz,-mx,my
( 
  0   0  -1     0
 -1   0   0     0
  0   1   0     0
 )
3+ x,-x,-x +1 {3-xyz-1|0,0,0}
13.y+1,x+1,z+1
-my,-mx,-mz
( 
  0   1   0     1
  1   0   0     1
  0   0   1     1
 )
g (1,1,1) x,x,z +1 {m-xy|1,1,1}
14.y+1,-x+1,-z+1
-my,mx,mz
( 
  0   1   0     1
 -1   0   0     1
  0   0  -1     1
 )
-4+ 1,0,z; 1,0,1/2 +1 {-4z|1,1,1}
15.-y+1,x+1,-z+1
my,-mx,mz
( 
  0  -1   0     1
  1   0   0     1
  0   0  -1     1
 )
-4- 0,1,z; 0,1,1/2 +1 {-4z-1|1,1,1}
16.-y+1,-x+1,z+1
my,mx,-mz
( 
  0  -1   0     1
 -1   0   0     1
  0   0   1     1
 )
g (0,0,1) x+1,-x,z +1 {mxy|1,1,1}
17.x+1,z+1,y+1
-mx,-mz,-my
( 
  1   0   0     1
  0   0   1     1
  0   1   0     1
 )
g (1,1,1) x,y,y +1 {m-yz|1,1,1}
18.x+1,-z+1,-y+1
-mx,mz,my
( 
  1   0   0     1
  0   0  -1     1
  0  -1   0     1
 )
g (1,0,0) x,y+1,-y +1 {myz|1,1,1}
19.-x+1,z+1,-y+1
mx,-mz,my
( 
 -1   0   0     1
  0   0   1     1
  0  -1   0     1
 )
-4+ x,1,0; 1/2,1,0 +1 {-4x|1,1,1}
20.-x+1,-z+1,y+1
mx,mz,-my
( 
 -1   0   0     1
  0   0  -1     1
  0   1   0     1
 )
-4- x,0,1; 1/2,0,1 +1 {-4x-1|1,1,1}
21.z+1,y+1,x+1
-mz,-my,-mx
( 
  0   0   1     1
  0   1   0     1
  1   0   0     1
 )
g (1,1,1) x,y,x +1 {m-xz|1,1,1}
22.z+1,-y+1,-x+1
-mz,my,mx
( 
  0   0   1     1
  0  -1   0     1
 -1   0   0     1
 )
-4- 1,y,0; 1,1/2,0 +1 {-4y-1|1,1,1}
23.-z+1,y+1,-x+1
mz,-my,mx
( 
  0   0  -1     1
  0   1   0     1
 -1   0   0     1
 )
g (0,1,0) -x+1,y,x +1 {mxz|1,1,1}
24.-z+1,-y+1,x+1
mz,my,-mx
( 
  0   0  -1     1
  0  -1   0     1
  1   0   0     1
 )
-4+ 0,y,1; 0,1/2,1 +1 {-4y|1,1,1}