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Pc6/mcc [#192.252] (Type: 4 -- Type IV (klassengleiche))

[OG: P2c6/mm'm' #191.13.1475]

Operators of Group 192.252 (Pc6/mcc)

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.-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}
3.-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}
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,-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}
6.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}
7.y,x,-z+1/2
my,mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0  -1   1/2
 )
2 x,x,1/4 +1 {2xy|0,0,1/2}
8.x-y,-y,-z+1/2
mx-my,-my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0  -1   1/2
 )
2 x,0,1/4 +1 {2x|0,0,1/2}
9.-x,-x+y,-z+1/2
-mx,-mx+my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0  -1   1/2
 )
2 0,y,1/4 +1 {2y|0,0,1/2}
10.-y,-x,-z+1/2
-my,-mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1   1/2
 )
2 x,-x,1/4 +1 {23|0,0,1/2}
11.-x+y,y,-z+1/2
-mx+my,my,-mz
( 
 -1   1   0     0
  0   1   0     0
  0   0  -1   1/2
 )
2 x,2x,1/4 +1 {22|0,0,1/2}
12.x,x-y,-z+1/2
mx,mx-my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0  -1   1/2
 )
2 2x,x,1/4 +1 {21|0,0,1/2}
13.-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}
14.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}
15.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}
16.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}
17.-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}
18.-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}
19.-y,-x,z+1/2
my,mx,-mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0   1   1/2
 )
c x,-x,z +1 {mxy|0,0,1/2}
20.-x+y,y,z+1/2
mx-my,-my,-mz
( 
 -1   1   0     0
  0   1   0     0
  0   0   1   1/2
 )
c x,2x,z +1 {mx|0,0,1/2}
21.x,x-y,z+1/2
-mx,-mx+my,-mz
( 
  1   0   0     0
  1  -1   0     0
  0   0   1   1/2
 )
c 2x,x,z +1 {my|0,0,1/2}
22.y,x,z+1/2
-my,-mx,-mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1   1/2
 )
c x,x,z +1 {m3|0,0,1/2}
23.x-y,-y,z+1/2
-mx+my,my,-mz
( 
  1  -1   0     0
  0  -1   0     0
  0   0   1   1/2
 )
c x,0,z +1 {m2|0,0,1/2}
24.-x,-x+y,z+1/2
mx,mx-my,-mz
( 
 -1   0   0     0
 -1   1   0     0
  0   0   1   1/2
 )
c 0,y,z +1 {m1|0,0,1/2}
25.x,y,z+1/2
-mx,-my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0   1   1/2
 ) '
t (0,0,1/2) -1 {1|0,0,1/2}'
26.x-y,x,z+1/2
-mx+my,-mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0   1   1/2
 ) '
6+ (0,0,1/2) 0,0,z -1 {6z|0,0,1/2}'
27.-y,x-y,z+1/2
my,-mx+my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0   1   1/2
 ) '
3+ (0,0,1/2) 0,0,z -1 {3z|0,0,1/2}'
28.-x,-y,z+1/2
mx,my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0   1   1/2
 ) '
2 (0,0,1/2) 0,0,z -1 {2z|0,0,1/2}'
29.-x+y,-x,z+1/2
mx-my,mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0   1   1/2
 ) '
3- (0,0,1/2) 0,0,z -1 {3z-1|0,0,1/2}'
30.y,-x+y,z+1/2
-my,mx-my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0   1   1/2
 ) '
6- (0,0,1/2) 0,0,z -1 {6z-1|0,0,1/2}'
31.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}'
32.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}'
33.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}'
34.-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}'
35.-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}'
36.-y,-x,-z
my,mx,mz
( 
  0  -1   0     0
 -1   0   0     0
  0   0  -1     0
 ) '
2 x,-x,0 -1 {23|0,0,0}'
37.-x,-y,-z+1/2
-mx,-my,-mz
( 
 -1   0   0     0
  0  -1   0     0
  0   0  -1   1/2
 ) '
-1 0,0,1/4 -1 {-1|0,0,1/2}'
38.-x+y,-x,-z+1/2
-mx+my,-mx,-mz
( 
 -1   1   0     0
 -1   0   0     0
  0   0  -1   1/2
 ) '
-6+ 0,0,z 0,0,1/4 -1 {-6z|0,0,1/2}'
39.y,-x+y,-z+1/2
my,-mx+my,-mz
( 
  0   1   0     0
 -1   1   0     0
  0   0  -1   1/2
 ) '
-3+ 0,0,z 0,0,1/4 -1 {-3z|0,0,1/2}'
40.x,y,-z+1/2
mx,my,-mz
( 
  1   0   0     0
  0   1   0     0
  0   0  -1   1/2
 ) '
m x,y,1/4 -1 {mz|0,0,1/2}'
41.x-y,x,-z+1/2
mx-my,mx,-mz
( 
  1  -1   0     0
  1   0   0     0
  0   0  -1   1/2
 ) '
-3- 0,0,z 0,0,1/4 -1 {-3z-1|0,0,1/2}'
42.-y,x-y,-z+1/2
-my,mx-my,-mz
( 
  0  -1   0     0
  1  -1   0     0
  0   0  -1   1/2
 ) '
-6- 0,0,z 0,0,1/4 -1 {-6z-1|0,0,1/2}'
43.-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}'
44.-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}'
45.-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}'
46.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}'
47.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}'
48.y,x,z
my,mx,mz
( 
  0   1   0     0
  1   0   0     0
  0   0   1     0
 ) '
m x,x,z -1 {m3|0,0,0}'


Go to the Wyckoff Positions of 192.252 (Pc6/mcc)
Go to the extinction rules of 192.252 (Pc6/mcc)


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

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