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P2c6'/mmm' [#191.12.1474] (Type: 4 -- Type IV (klassengleiche))

[BNS: Pc63/mmc] #194.272

Operators of Group 191.12.1474 (P2c6'/mmm')

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+1
-mx,-my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1     1
 )
2 (0,0,1) 0,0,z +1 {2z|0,0,1}
3.-y,-x,-z
-my,-mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 )
2 x,-x,0 +1 {2-xy|0,0,0}
4.y,x,-z+1
my,mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     1
 )
2 x,x,1/2 +1 {2xy|0,0,1}
5.-x,-y,-z+1
mx,my,mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     1
 )
-1 0,0,1/2 +1 {-1|0,0,1}
6.x,y,-z
-mx,-my,mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1     0
 )
m x,y,0 +1 {mz|0,0,0}
7.y,x,z+1
-my,-mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     1
 )
g (0,0,1) x,x,z +1 {m-xy|0,0,1}
8.-y,-x,z
my,mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1     0
 )
m x,-x,z +1 {mxy|0,0,0}
9.x-y,x,z+1
mx-my,mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1     1
 )
6+ (0,0,1) 0,0,z +1 {6z|0,0,1}
10.-y,x-y,z
-my,mx-my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     0
 )
3+ 0,0,z +1 {3z|0,0,0}
11.-x+y,-x,z
-mx+my,-mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     0
 )
3- 0,0,z +1 {3z-1|0,0,0}
12.y,-x+y,z+1
my,-mx+my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1     1
 )
6- (0,0,1) 0,0,z +1 {6z-1|0,0,1}
13.x-y,-y,-z+1
mx-my,-my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     1
 )
2 x,0,1/2 +1 {2x|0,0,1}
14.x,x-y,-z
mx,mx-my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1     0
 )
2 2x,x,0 +1 {21|0,0,0}
15.-x+y,y,-z
-mx+my,my,-mz
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     0
 )
2 x,2x,0 +1 {22|0,0,0}
16.-x,-x+y,-z+1
-mx,-mx+my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     1
 )
2 0,y,1/2 +1 {2y|0,0,1}
17.-x+y,-x,-z
mx-my,mx,mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1     0
 )
-6+ 0,0,z; 0,0,0 +1 {-6z|0,0,0}
18.y,-x+y,-z+1
-my,mx-my,mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     1
 )
-3+ 0,0,z; 0,0,1/2 +1 {-3z|0,0,1}
19.x-y,x,-z+1
-mx+my,-mx,mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     1
 )
-3- 0,0,z; 0,0,1/2 +1 {-3z-1|0,0,1}
20.-y,x-y,-z
my,-mx+my,mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1     0
 )
-6- 0,0,z; 0,0,0 +1 {-6z-1|0,0,0}
21.-x+y,y,z
mx-my,-my,-mz
( 
 -1   1   0     0
  0   1   0     0
  0   0   1     0
 )
m x,2x,z +1 {mx|0,0,0}
22.-x,-x+y,z+1
mx,mx-my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1     1
 )
g (0,0,1) 0,y,z +1 {m1|0,0,1}
23.x-y,-y,z+1
-mx+my,my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1     1
 )
g (0,0,1) x,0,z +1 {m2|0,0,1}
24.x,x-y,z
-mx,-mx+my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0   1     0
 )
m 2x,x,z +1 {my|0,0,0}
25.x,y,z+1
-mx,-my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1     1
 ) '
t (0,0,1) -1 {1|0,0,1}'
26.-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}'
27.-y,-x,-z+1
my,mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     1
 ) '
2 x,-x,1/2 -1 {2-xy|0,0,1}'
28.y,x,-z
-my,-mx,mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
2 x,x,0 -1 {2xy|0,0,0}'
29.-x,-y,-z
-mx,-my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
-1 0,0,0 -1 {-1|0,0,0}'
30.x,y,-z+1
mx,my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1     1
 ) '
m x,y,1/2 -1 {mz|0,0,1}'
31.y,x,z
my,mx,mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 ) '
m x,x,z -1 {m-xy|0,0,0}'
32.-y,-x,z+1
-my,-mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1     1
 ) '
g (0,0,1) x,-x,z -1 {mxy|0,0,1}'
33.x-y,x,z
-mx+my,-mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1     0
 ) '
6+ 0,0,z -1 {6z|0,0,0}'
34.-y,x-y,z+1
my,-mx+my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1     1
 ) '
3+ (0,0,1) 0,0,z -1 {3z|0,0,1}'
35.-x+y,-x,z+1
mx-my,mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1     1
 ) '
3- (0,0,1) 0,0,z -1 {3z-1|0,0,1}'
36.y,-x+y,z
-my,mx-my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1     0
 ) '
6- 0,0,z -1 {6z-1|0,0,0}'
37.x-y,-y,-z
-mx+my,my,mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1     0
 ) '
2 x,0,0 -1 {2x|0,0,0}'
38.x,x-y,-z+1
-mx,-mx+my,mz
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1     1
 ) '
2 2x,x,1/2 -1 {21|0,0,1}'
39.-x+y,y,-z+1
mx-my,-my,mz
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1     1
 ) '
2 x,2x,1/2 -1 {22|0,0,1}'
40.-x,-x+y,-z
mx,mx-my,mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
2 0,y,0 -1 {2y|0,0,0}'
41.-x+y,-x,-z+1
-mx+my,-mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1     1
 ) '
-6+ 0,0,z; 0,0,1/2 -1 {-6z|0,0,1}'
42.y,-x+y,-z
my,-mx+my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1     0
 ) '
-3+ 0,0,z; 0,0,0 -1 {-3z|0,0,0}'
43.x-y,x,-z
mx-my,mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1     0
 ) '
-3- 0,0,z; 0,0,0 -1 {-3z-1|0,0,0}'
44.-y,x-y,-z+1
-my,mx-my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1     1
 ) '
-6- 0,0,z; 0,0,1/2 -1 {-6z-1|0,0,1}'
45.-x+y,y,z+1
-mx+my,my,mz
( 
 -1   1   0     0
  0   1   0     0
  0   0   1     1
 ) '
g (0,0,1) x,2x,z -1 {mx|0,0,1}'
46.-x,-x+y,z
-mx,-mx+my,mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1     0
 ) '
m 0,y,z -1 {m1|0,0,0}'
47.x-y,-y,z
mx-my,-my,mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1     0
 ) '
m x,0,z -1 {m2|0,0,0}'
48.x,x-y,z+1
mx,mx-my,mz
( 
  1   0   0     0
  1  -1   0     0
  0   0   1     1
 ) '
g (0,0,1) 2x,x,z -1 {my|0,0,1}'


Go to the Wyckoff Positions of 191.12.1474 (P2c6'/mmm')
Go to the extinction rules of 194.272 (Pc63/mmc) ← Corresponding space group in BNS settings


Back to the list of magnetic space groups derived from P6/mmm
Back to the list of Magnetic Space Groups

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