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Fm'-3'c' [#226.126] (Type: 3 -- Type III (translationgleiche))

[OG: Fm'-3'c' #226.5.1627]

Operators of Group 226.126 (Fm'-3'c')

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 0,0,z +1 {2z|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 x,0,0 +1 {2x|0,0,0}
5.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}
6.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}
7.-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}
8.-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}
9.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}
10.-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}
11.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}
12.-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}
13.y+1/2,x+1/2,-z+1/2
my,mx,-mz

(
  0   1   0   1/2
  1   0   0   1/2
  0   0  -1   1/2
)
2 (1/2,1/2,0) x,x,1/4 +1 {2xy|1/2,1/2,1/2}
14.-y+1/2,-x+1/2,-z+1/2
-my,-mx,-mz

(
  0  -1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
)
2 x,-x+1/2,1/4 +1 {2-xy|1/2,1/2,1/2}
15.y+1/2,-x+1/2,z+1/2
my,-mx,mz

(
  0   1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
)
4- (0,0,1/2) 1/2,0,z +1 {4z-1|1/2,1/2,1/2}
16.-y+1/2,x+1/2,z+1/2
-my,mx,mz

(
  0  -1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
)
4+ (0,0,1/2) 0,1/2,z +1 {4z|1/2,1/2,1/2}
17.x+1/2,z+1/2,-y+1/2
mx,mz,-my

(
  1   0   0   1/2
  0   0   1   1/2
  0  -1   0   1/2
)
4- (1/2,0,0) x,1/2,0 +1 {4x-1|1/2,1/2,1/2}
18.-x+1/2,z+1/2,y+1/2
-mx,mz,my

(
 -1   0   0   1/2
  0   0   1   1/2
  0   1   0   1/2
)
2 (0,1/2,1/2) 1/4,y,y +1 {2yz|1/2,1/2,1/2}
19.-x+1/2,-z+1/2,-y+1/2
-mx,-mz,-my

(
 -1   0   0   1/2
  0   0  -1   1/2
  0  -1   0   1/2
)
2 1/4,y+1/2,-y +1 {2-yz|1/2,1/2,1/2}
20.x+1/2,-z+1/2,y+1/2
mx,-mz,my

(
  1   0   0   1/2
  0   0  -1   1/2
  0   1   0   1/2
)
4+ (1/2,0,0) x,0,1/2 +1 {4x|1/2,1/2,1/2}
21.z+1/2,y+1/2,-x+1/2
mz,my,-mx

(
  0   0   1   1/2
  0   1   0   1/2
 -1   0   0   1/2
)
4+ (0,1/2,0) 1/2,y,0 +1 {4y|1/2,1/2,1/2}
22.z+1/2,-y+1/2,x+1/2
mz,-my,mx

(
  0   0   1   1/2
  0  -1   0   1/2
  1   0   0   1/2
)
2 (1/2,0,1/2) x,1/4,x +1 {2xz|1/2,1/2,1/2}
23.-z+1/2,y+1/2,x+1/2
-mz,my,mx

(
  0   0  -1   1/2
  0   1   0   1/2
  1   0   0   1/2
)
4- (0,1/2,0) 0,y,1/2 +1 {4y-1|1/2,1/2,1/2}
24.-z+1/2,-y+1/2,-x+1/2
-mz,-my,-mx

(
  0   0  -1   1/2
  0  -1   0   1/2
 -1   0   0   1/2
)
2 -x+1/2,1/4,x +1 {2-xz|1/2,1/2,1/2}
25.x,y+1/2,z+1/2
mx,my,mz

(
  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}
26d.-x,-y+1/2,z+1/2
-mx,-my,mz

(
 -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}
27d.-x,y+1/2,-z+1/2
-mx,my,-mz

(
 -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}
28d.x,-y+1/2,-z+1/2
mx,-my,-mz

(
  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}
29d.z,x+1/2,y+1/2
mz,mx,my

(
  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}
30d.z,-x+1/2,-y+1/2
mz,-mx,-my

(
  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}
31d.-z,-x+1/2,y+1/2
-mz,-mx,my

(
  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}
32d.-z,x+1/2,-y+1/2
-mz,mx,-my

(
  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}
33d.y,z+1/2,x+1/2
my,mz,mx

(
  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}
34d.-y,z+1/2,-x+1/2
-my,mz,-mx

(
  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}
35d.y,-z+1/2,-x+1/2
my,-mz,-mx

(
  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}
36d.-y,-z+1/2,x+1/2
-my,-mz,mx

(
  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}
37d.y+1/2,x,-z
my,mx,-mz

(
  0   1   0   1/2
  1   0   0     0
  0   0  -1     0
)
2 (1/4,1/4,0) x,x-1/4,0 +1 {2xy|1/2,0,0}
38d.-y+1/2,-x,-z
-my,-mx,-mz

(
  0  -1   0   1/2
 -1   0   0     0
  0   0  -1     0
)
2 (1/4,-1/4,0) x,-x+1/4,0 +1 {2-xy|1/2,0,0}
39d.y+1/2,-x,z
my,-mx,mz

(
  0   1   0   1/2
 -1   0   0     0
  0   0   1     0
)
4- 1/4,-1/4,z +1 {4z-1|1/2,0,0}
40d.-y+1/2,x,z
-my,mx,mz

(
  0  -1   0   1/2
  1   0   0     0
  0   0   1     0
)
4+ 1/4,1/4,z +1 {4z|1/2,0,0}
41d.x+1/2,z,-y
mx,mz,-my

(
  1   0   0   1/2
  0   0   1     0
  0  -1   0     0
)
4- (1/2,0,0) x,0,0 +1 {4x-1|1/2,0,0}
42d.-x+1/2,z,y
-mx,mz,my

(
 -1   0   0   1/2
  0   0   1     0
  0   1   0     0
)
2 1/4,y,y +1 {2yz|1/2,0,0}
43d.-x+1/2,-z,-y
-mx,-mz,-my

(
 -1   0   0   1/2
  0   0  -1     0
  0  -1   0     0
)
2 1/4,y,-y +1 {2-yz|1/2,0,0}
44d.x+1/2,-z,y
mx,-mz,my

(
  1   0   0   1/2
  0   0  -1     0
  0   1   0     0
)
4+ (1/2,0,0) x,0,0 +1 {4x|1/2,0,0}
45d.z+1/2,y,-x
mz,my,-mx

(
  0   0   1   1/2
  0   1   0     0
 -1   0   0     0
)
4+ 1/4,y,-1/4 +1 {4y|1/2,0,0}
46d.z+1/2,-y,x
mz,-my,mx

(
  0   0   1   1/2
  0  -1   0     0
  1   0   0     0
)
2 (1/4,0,1/4) x+1/4,0,x +1 {2xz|1/2,0,0}
47d.-z+1/2,y,x
-mz,my,mx

(
  0   0  -1   1/2
  0   1   0     0
  1   0   0     0
)
4- 1/4,y,1/4 +1 {4y-1|1/2,0,0}
48d.-z+1/2,-y,-x
-mz,-my,-mx

(
  0   0  -1   1/2
  0  -1   0     0
 -1   0   0     0
)
2 (1/4,0,-1/4) -x+1/4,0,x +1 {2-xz|1/2,0,0}
49.x+1/2,y,z+1/2
mx,my,mz

(
  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}
50d.-x+1/2,-y,z+1/2
-mx,-my,mz

(
 -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}
51d.-x+1/2,y,-z+1/2
-mx,my,-mz

(
 -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}
52d.x+1/2,-y,-z+1/2
mx,-my,-mz

(
  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}
53d.z+1/2,x,y+1/2
mz,mx,my

(
  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}
54d.z+1/2,-x,-y+1/2
mz,-mx,-my

(
  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}
55d.-z+1/2,-x,y+1/2
-mz,-mx,my

(
  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}
56d.-z+1/2,x,-y+1/2
-mz,mx,-my

(
  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}
57d.y+1/2,z,x+1/2
my,mz,mx

(
  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}
58d.-y+1/2,z,-x+1/2
-my,mz,-mx

(
  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}
59d.y+1/2,-z,-x+1/2
my,-mz,-mx

(
  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}
60d.-y+1/2,-z,x+1/2
-my,-mz,mx

(
  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}
61d.y,x+1/2,-z
my,mx,-mz

(
  0   1   0     0
  1   0   0   1/2
  0   0  -1     0
)
2 (1/4,1/4,0) x,x+1/4,0 +1 {2xy|0,1/2,0}
62d.-y,-x+1/2,-z
-my,-mx,-mz

(
  0  -1   0     0
 -1   0   0   1/2
  0   0  -1     0
)
2 (-1/4,1/4,0) x,-x+1/4,0 +1 {2-xy|0,1/2,0}
63d.y,-x+1/2,z
my,-mx,mz

(
  0   1   0     0
 -1   0   0   1/2
  0   0   1     0
)
4- 1/4,1/4,z +1 {4z-1|0,1/2,0}
64d.-y,x+1/2,z
-my,mx,mz

(
  0  -1   0     0
  1   0   0   1/2
  0   0   1     0
)
4+ -1/4,1/4,z +1 {4z|0,1/2,0}
65d.x,z+1/2,-y
mx,mz,-my

(
  1   0   0     0
  0   0   1   1/2
  0  -1   0     0
)
4- x,1/4,-1/4 +1 {4x-1|0,1/2,0}
66d.-x,z+1/2,y
-mx,mz,my

(
 -1   0   0     0
  0   0   1   1/2
  0   1   0     0
)
2 (0,1/4,1/4) 0,y+1/4,y +1 {2yz|0,1/2,0}
67d.-x,-z+1/2,-y
-mx,-mz,-my

(
 -1   0   0     0
  0   0  -1   1/2
  0  -1   0     0
)
2 (0,1/4,-1/4) 0,y+1/4,-y +1 {2-yz|0,1/2,0}
68d.x,-z+1/2,y
mx,-mz,my

(
  1   0   0     0
  0   0  -1   1/2
  0   1   0     0
)
4+ x,1/4,1/4 +1 {4x|0,1/2,0}
69d.z,y+1/2,-x
mz,my,-mx

(
  0   0   1     0
  0   1   0   1/2
 -1   0   0     0
)
4+ (0,1/2,0) 0,y,0 +1 {4y|0,1/2,0}
70d.z,-y+1/2,x
mz,-my,mx

(
  0   0   1     0
  0  -1   0   1/2
  1   0   0     0
)
2 x,1/4,x +1 {2xz|0,1/2,0}
71d.-z,y+1/2,x
-mz,my,mx

(
  0   0  -1     0
  0   1   0   1/2
  1   0   0     0
)
4- (0,1/2,0) 0,y,0 +1 {4y-1|0,1/2,0}
72d.-z,-y+1/2,-x
-mz,-my,-mx

(
  0   0  -1     0
  0  -1   0   1/2
 -1   0   0     0
)
2 -x,1/4,x +1 {2-xz|0,1/2,0}
73.x+1/2,y+1/2,z
mx,my,mz

(
  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}
74d.-x+1/2,-y+1/2,z
-mx,-my,mz

(
 -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}
75d.-x+1/2,y+1/2,-z
-mx,my,-mz

(
 -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}
76d.x+1/2,-y+1/2,-z
mx,-my,-mz

(
  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}
77d.z+1/2,x+1/2,y
mz,mx,my

(
  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}
78d.z+1/2,-x+1/2,-y
mz,-mx,-my

(
  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}
79d.-z+1/2,-x+1/2,y
-mz,-mx,my

(
  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}
80d.-z+1/2,x+1/2,-y
-mz,mx,-my

(
  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}
81d.y+1/2,z+1/2,x
my,mz,mx

(
  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}
82d.-y+1/2,z+1/2,-x
-my,mz,-mx

(
  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}
83d.y+1/2,-z+1/2,-x
my,-mz,-mx

(
  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}
84d.-y+1/2,-z+1/2,x
-my,-mz,mx

(
  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}
85d.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}
86d.-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 {2-xy|0,0,1/2}
87d.y,-x,z+1/2
my,-mx,mz

(
  0   1   0     0
 -1   0   0     0
  0   0   1   1/2
)
4- (0,0,1/2) 0,0,z +1 {4z-1|0,0,1/2}
88d.-y,x,z+1/2
-my,mx,mz

(
  0  -1   0     0
  1   0   0     0
  0   0   1   1/2
)
4+ (0,0,1/2) 0,0,z +1 {4z|0,0,1/2}
89d.x,z,-y+1/2
mx,mz,-my

(
  1   0   0     0
  0   0   1     0
  0  -1   0   1/2
)
4- x,1/4,1/4 +1 {4x-1|0,0,1/2}
90d.-x,z,y+1/2
-mx,mz,my

(
 -1   0   0     0
  0   0   1     0
  0   1   0   1/2
)
2 (0,1/4,1/4) 0,y-1/4,y +1 {2yz|0,0,1/2}
91d.-x,-z,-y+1/2
-mx,-mz,-my

(
 -1   0   0     0
  0   0  -1     0
  0  -1   0   1/2
)
2 (0,-1/4,1/4) 0,y+1/4,-y +1 {2-yz|0,0,1/2}
92d.x,-z,y+1/2
mx,-mz,my

(
  1   0   0     0
  0   0  -1     0
  0   1   0   1/2
)
4+ x,-1/4,1/4 +1 {4x|0,0,1/2}
93d.z,y,-x+1/2
mz,my,-mx

(
  0   0   1     0
  0   1   0     0
 -1   0   0   1/2
)
4+ 1/4,y,1/4 +1 {4y|0,0,1/2}
94d.z,-y,x+1/2
mz,-my,mx

(
  0   0   1     0
  0  -1   0     0
  1   0   0   1/2
)
2 (1/4,0,1/4) x-0.25,0,x +1 {2xz|0,0,1/2}
95d.-z,y,x+1/2
-mz,my,mx

(
  0   0  -1     0
  0   1   0     0
  1   0   0   1/2
)
4- -1/4,y,1/4 +1 {4y-1|0,0,1/2}
96d.-z,-y,-x+1/2
-mz,-my,-mx

(
  0   0  -1     0
  0  -1   0     0
 -1   0   0   1/2
)
2 (-1/4,0,1/4) -x+1/4,0,x +1 {2-xz|0,0,1/2}
97.-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}'
98.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}'
99.x,-y,z
mx,-my,mz

(
  1   0   0     0
  0  -1   0     0
  0   0   1     0
) '
m x,0,z -1 {my|0,0,0}'
100.-x,y,z
-mx,my,mz

(
 -1   0   0     0
  0   1   0     0
  0   0   1     0
) '
m 0,y,z -1 {mx|0,0,0}'
101.-z,-x,-y
-mz,-mx,-my

(
  0   0  -1     0
 -1   0   0     0
  0  -1   0     0
) '
-3+ x,x,x 0,0,0 -1 {-3xyz|0,0,0}'
102.-z,x,y
-mz,mx,my

(
  0   0  -1     0
  1   0   0     0
  0   1   0     0
) '
-3+ -x,x,-x 0,0,0 -1 {-3x-yz-1|0,0,0}'
103.z,x,-y
mz,mx,-my

(
  0   0   1     0
  1   0   0     0
  0  -1   0     0
) '
-3+ x,-x,-x 0,0,0 -1 {-3-xyz-1|0,0,0}'
104.z,-x,y
mz,-mx,my

(
  0   0   1     0
 -1   0   0     0
  0   1   0     0
) '
-3+ -x,-x,x 0,0,0 -1 {-3xy-z-1|0,0,0}'
105.-y,-z,-x
-my,-mz,-mx

(
  0  -1   0     0
  0   0  -1     0
 -1   0   0     0
) '
-3- x,x,x 0,0,0 -1 {-3xyz-1|0,0,0}'
106.y,-z,x
my,-mz,mx

(
  0   1   0     0
  0   0  -1     0
  1   0   0     0
) '
-3- x,-x,-x 0,0,0 -1 {-3-xyz|0,0,0}'
107.-y,z,x
-my,mz,mx

(
  0  -1   0     0
  0   0   1     0
  1   0   0     0
) '
-3- -x,-x,x 0,0,0 -1 {-3xy-z|0,0,0}'
108.y,z,-x
my,mz,-mx

(
  0   1   0     0
  0   0   1     0
 -1   0   0     0
) '
-3- -x,x,-x 0,0,0 -1 {-3x-yz|0,0,0}'
109.-y+1/2,-x+1/2,z+1/2
-my,-mx,mz

(
  0  -1   0   1/2
 -1   0   0   1/2
  0   0   1   1/2
) '
c x+1/2,-x,z -1 {mxy|1/2,1/2,1/2}'
110.y+1/2,x+1/2,z+1/2
my,mx,mz

(
  0   1   0   1/2
  1   0   0   1/2
  0   0   1   1/2
) '
n (1/2,1/2,1/2) x,x,z -1 {m-xy|1/2,1/2,1/2}'
111.-y+1/2,x+1/2,-z+1/2
-my,mx,-mz

(
  0  -1   0   1/2
  1   0   0   1/2
  0   0  -1   1/2
) '
-4- 0,1/2,z 0,1/2,1/4 -1 {-4z-1|1/2,1/2,1/2}'
112.y+1/2,-x+1/2,-z+1/2
my,-mx,-mz

(
  0   1   0   1/2
 -1   0   0   1/2
  0   0  -1   1/2
) '
-4+ 1/2,0,z 1/2,0,1/4 -1 {-4z|1/2,1/2,1/2}'
113.-x+1/2,-z+1/2,y+1/2
-mx,-mz,my

(
 -1   0   0   1/2
  0   0  -1   1/2
  0   1   0   1/2
) '
-4- x,0,1/2 1/4,0,1/2 -1 {-4x-1|1/2,1/2,1/2}'
114.x+1/2,-z+1/2,-y+1/2
mx,-mz,-my

(
  1   0   0   1/2
  0   0  -1   1/2
  0  -1   0   1/2
) '
a x,y+1/2,-y -1 {myz|1/2,1/2,1/2}'
115.x+1/2,z+1/2,y+1/2
mx,mz,my

(
  1   0   0   1/2
  0   0   1   1/2
  0   1   0   1/2
) '
n (1/2,1/2,1/2) x,y,y -1 {m-yz|1/2,1/2,1/2}'
116.-x+1/2,z+1/2,-y+1/2
-mx,mz,-my

(
 -1   0   0   1/2
  0   0   1   1/2
  0  -1   0   1/2
) '
-4+ x,1/2,0 1/4,1/2,0 -1 {-4x|1/2,1/2,1/2}'
117.-z+1/2,-y+1/2,x+1/2
-mz,-my,mx

(
  0   0  -1   1/2
  0  -1   0   1/2
  1   0   0   1/2
) '
-4+ 0,y,1/2 0,1/4,1/2 -1 {-4y|1/2,1/2,1/2}'
118.-z+1/2,y+1/2,-x+1/2
-mz,my,-mx

(
  0   0  -1   1/2
  0   1   0   1/2
 -1   0   0   1/2
) '
b -x+1/2,y,x -1 {mxz|1/2,1/2,1/2}'
119.z+1/2,-y+1/2,-x+1/2
mz,-my,-mx

(
  0   0   1   1/2
  0  -1   0   1/2
 -1   0   0   1/2
) '
-4- 1/2,y,0 1/2,1/4,0 -1 {-4y-1|1/2,1/2,1/2}'
120.z+1/2,y+1/2,x+1/2
mz,my,mx

(
  0   0   1   1/2
  0   1   0   1/2
  1   0   0   1/2
) '
n (1/2,1/2,1/2) x,y,x -1 {m-xz|1/2,1/2,1/2}'
121d.-x,-y+1/2,-z+1/2
-mx,-my,-mz

(
 -1   0   0     0
  0  -1   0   1/2
  0   0  -1   1/2
) '
-1 0,1/4,1/4 -1 {-1|0,1/2,1/2}'
122d.x,y+1/2,-z+1/2
mx,my,-mz

(
  1   0   0     0
  0   1   0   1/2
  0   0  -1   1/2
) '
b x,y,1/4 -1 {mz|0,1/2,1/2}'
123d.x,-y+1/2,z+1/2
mx,-my,mz

(
  1   0   0     0
  0  -1   0   1/2
  0   0   1   1/2
) '
c x,1/4,z -1 {my|0,1/2,1/2}'
124d.-x,y+1/2,z+1/2
-mx,my,mz

(
 -1   0   0     0
  0   1   0   1/2
  0   0   1   1/2
) '
n (0,1/2,1/2) 0,y,z -1 {mx|0,1/2,1/2}'
125d.-z,-x+1/2,-y+1/2
-mz,-mx,-my

(
  0   0  -1     0
 -1   0   0   1/2
  0  -1   0   1/2
) '
-3+ x,x+1/2,x 0,1/2,0 -1 {-3xyz|0,1/2,1/2}'
126d.-z,x+1/2,y+1/2
-mz,mx,my

(
  0   0  -1     0
  1   0   0   1/2
  0   1   0   1/2
) '
-3+ -x-1,x+1/2,-x -1/2,0,1/2 -1 {-3x-yz-1|0,1/2,1/2}'
127d.z,x+1/2,-y+1/2
mz,mx,-my

(
  0   0   1     0
  1   0   0   1/2
  0  -1   0   1/2
) '
-3+ x,-x+1/2,-x 0,1/2,0 -1 {-3-xyz-1|0,1/2,1/2}'
128d.z,-x+1/2,y+1/2
mz,-mx,my

(
  0   0   1     0
 -1   0   0   1/2
  0   1   0   1/2
) '
-3+ -x+1,-x+1/2,x 1/2,0,1/2 -1 {-3xy-z-1|0,1/2,1/2}'
129d.-y,-z+1/2,-x+1/2
-my,-mz,-mx

(
  0  -1   0     0
  0   0  -1   1/2
 -1   0   0   1/2
) '
-3- x-0.5,x-1/2,x 0,0,1/2 -1 {-3xyz-1|0,1/2,1/2}'
130d.y,-z+1/2,x+1/2
my,-mz,mx

(
  0   1   0     0
  0   0  -1   1/2
  1   0   0   1/2
) '
-3- x+1/2,-x,-x 0,0,1/2 -1 {-3-xyz|0,1/2,1/2}'
131d.-y,z+1/2,x+1/2
-my,mz,mx

(
  0  -1   0     0
  0   0   1   1/2
  1   0   0   1/2
) '
-3- -x-1/2,-x+1/2,x -1/2,1/2,0 -1 {-3xy-z|0,1/2,1/2}'
132d.y,z+1/2,-x+1/2
my,mz,-mx

(
  0   1   0     0
  0   0   1   1/2
 -1   0   0   1/2
) '
-3- -x+1/2,x+1/2,-x 1/2,1/2,0 -1 {-3x-yz|0,1/2,1/2}'
133d.-y+1/2,-x,z
-my,-mx,mz

(
  0  -1   0   1/2
 -1   0   0     0
  0   0   1     0
) '
g (1/4,-1/4,0) x+1/4,-x,z -1 {mxy|1/2,0,0}'
134d.y+1/2,x,z
my,mx,mz

(
  0   1   0   1/2
  1   0   0     0
  0   0   1     0
) '
g (1/4,1/4,0) x+1/4,x,z -1 {m-xy|1/2,0,0}'
135d.-y+1/2,x,-z
-my,mx,-mz

(
  0  -1   0   1/2
  1   0   0     0
  0   0  -1     0
) '
-4- 1/4,1/4,z 1/4,1/4,0 -1 {-4z-1|1/2,0,0}'
136d.y+1/2,-x,-z
my,-mx,-mz

(
  0   1   0   1/2
 -1   0   0     0
  0   0  -1     0
) '
-4+ 1/4,-1/4,z 1/4,-1/4,0 -1 {-4z|1/2,0,0}'
137d.-x+1/2,-z,y
-mx,-mz,my

(
 -1   0   0   1/2
  0   0  -1     0
  0   1   0     0
) '
-4- x,0,0 1/4,0,0 -1 {-4x-1|1/2,0,0}'
138d.x+1/2,-z,-y
mx,-mz,-my

(
  1   0   0   1/2
  0   0  -1     0
  0  -1   0     0
) '
a x,y,-y -1 {myz|1/2,0,0}'
139d.x+1/2,z,y
mx,mz,my

(
  1   0   0   1/2
  0   0   1     0
  0   1   0     0
) '
a x,y,y -1 {m-yz|1/2,0,0}'
140d.-x+1/2,z,-y
-mx,mz,-my

(
 -1   0   0   1/2
  0   0   1     0
  0  -1   0     0
) '
-4+ x,0,0 1/4,0,0 -1 {-4x|1/2,0,0}'
141d.-z+1/2,-y,x
-mz,-my,mx

(
  0   0  -1   1/2
  0  -1   0     0
  1   0   0     0
) '
-4+ 1/4,y,1/4 1/4,0,1/4 -1 {-4y|1/2,0,0}'
142d.-z+1/2,y,-x
-mz,my,-mx

(
  0   0  -1   1/2
  0   1   0     0
 -1   0   0     0
) '
g (1/4,0,-1/4) -x+1/4,y,x -1 {mxz|1/2,0,0}'
143d.z+1/2,-y,-x
mz,-my,-mx

(
  0   0   1   1/2
  0  -1   0     0
 -1   0   0     0
) '
-4- 1/4,y,-1/4 1/4,0,-1/4 -1 {-4y-1|1/2,0,0}'
144d.z+1/2,y,x
mz,my,mx

(
  0   0   1   1/2
  0   1   0     0
  1   0   0     0
) '
g (1/4,0,1/4) x+1/4,y,x -1 {m-xz|1/2,0,0}'
145d.-x+1/2,-y,-z+1/2
-mx,-my,-mz

(
 -1   0   0   1/2
  0  -1   0     0
  0   0  -1   1/2
) '
-1 1/4,0,1/4 -1 {-1|1/2,0,1/2}'
146d.x+1/2,y,-z+1/2
mx,my,-mz

(
  1   0   0   1/2
  0   1   0     0
  0   0  -1   1/2
) '
a x,y,1/4 -1 {mz|1/2,0,1/2}'
147d.x+1/2,-y,z+1/2
mx,-my,mz

(
  1   0   0   1/2
  0  -1   0     0
  0   0   1   1/2
) '
n (1/2,0,1/2) x,0,z -1 {my|1/2,0,1/2}'
148d.-x+1/2,y,z+1/2
-mx,my,mz

(
 -1   0   0   1/2
  0   1   0     0
  0   0   1   1/2
) '
c 1/4,y,z -1 {mx|1/2,0,1/2}'
149d.-z+1/2,-x,-y+1/2
-mz,-mx,-my

(
  0   0  -1   1/2
 -1   0   0     0
  0  -1   0   1/2
) '
-3+ x-0.5,x-1/2,x 0,0,1/2 -1 {-3xyz|1/2,0,1/2}'
150d.-z+1/2,x,y+1/2
-mz,mx,my

(
  0   0  -1   1/2
  1   0   0     0
  0   1   0   1/2
) '
-3+ -x-1/2,x+1/2,-x 0,0,1/2 -1 {-3x-yz-1|1/2,0,1/2}'
151d.z+1/2,x,-y+1/2
mz,mx,-my

(
  0   0   1   1/2
  1   0   0     0
  0  -1   0   1/2
) '
-3+ x+1/2,-x+1/2,-x 1/2,1/2,0 -1 {-3-xyz-1|1/2,0,1/2}'
152d.z+1/2,-x,y+1/2
mz,-mx,my

(
  0   0   1   1/2
 -1   0   0     0
  0   1   0   1/2
) '
-3+ -x+1/2,-x,x 1/2,-1/2,0 -1 {-3xy-z-1|1/2,0,1/2}'
153d.-y+1/2,-z,-x+1/2
-my,-mz,-mx

(
  0  -1   0   1/2
  0   0  -1     0
 -1   0   0   1/2
) '
-3- x+1/2,x,x 1/2,0,0 -1 {-3xyz-1|1/2,0,1/2}'
154d.y+1/2,-z,x+1/2
my,-mz,mx

(
  0   1   0   1/2
  0   0  -1     0
  1   0   0   1/2
) '
-3- x+1/2,-x,-x 0,-1/2,1/2 -1 {-3-xyz|1/2,0,1/2}'
155d.-y+1/2,z,x+1/2
-my,mz,mx

(
  0  -1   0   1/2
  0   0   1     0
  1   0   0   1/2
) '
-3- -x+1/2,-x+1,x 0,1/2,1/2 -1 {-3xy-z|1/2,0,1/2}'
156d.y+1/2,z,-x+1/2
my,mz,-mx

(
  0   1   0   1/2
  0   0   1     0
 -1   0   0   1/2
) '
-3- -x+1/2,x,-x 1/2,0,0 -1 {-3x-yz|1/2,0,1/2}'
157d.-y,-x+1/2,z
-my,-mx,mz

(
  0  -1   0     0
 -1   0   0   1/2
  0   0   1     0
) '
g (-1/4,1/4,0) x+1/4,-x,z -1 {mxy|0,1/2,0}'
158d.y,x+1/2,z
my,mx,mz

(
  0   1   0     0
  1   0   0   1/2
  0   0   1     0
) '
g (1/4,1/4,0) x-0.25,x,z -1 {m-xy|0,1/2,0}'
159d.-y,x+1/2,-z
-my,mx,-mz

(
  0  -1   0     0
  1   0   0   1/2
  0   0  -1     0
) '
-4- -1/4,1/4,z -1/4,1/4,0 -1 {-4z-1|0,1/2,0}'
160d.y,-x+1/2,-z
my,-mx,-mz

(
  0   1   0     0
 -1   0   0   1/2
  0   0  -1     0
) '
-4+ 1/4,1/4,z 1/4,1/4,0 -1 {-4z|0,1/2,0}'
161d.-x,-z+1/2,y
-mx,-mz,my

(
 -1   0   0     0
  0   0  -1   1/2
  0   1   0     0
) '
-4- x,1/4,1/4 0,1/4,1/4 -1 {-4x-1|0,1/2,0}'
162d.x,-z+1/2,-y
mx,-mz,-my

(
  1   0   0     0
  0   0  -1   1/2
  0  -1   0     0
) '
g (0,1/4,-1/4) x,y+1/4,-y -1 {myz|0,1/2,0}'
163d.x,z+1/2,y
mx,mz,my

(
  1   0   0     0
  0   0   1   1/2
  0   1   0     0
) '
g (0,1/4,1/4) x,y+1/4,y -1 {m-yz|0,1/2,0}'
164d.-x,z+1/2,-y
-mx,mz,-my

(
 -1   0   0     0
  0   0   1   1/2
  0  -1   0     0
) '
-4+ x,1/4,-1/4 0,1/4,-1/4 -1 {-4x|0,1/2,0}'
165d.-z,-y+1/2,x
-mz,-my,mx

(
  0   0  -1     0
  0  -1   0   1/2
  1   0   0     0
) '
-4+ 0,y,0 0,1/4,0 -1 {-4y|0,1/2,0}'
166d.-z,y+1/2,-x
-mz,my,-mx

(
  0   0  -1     0
  0   1   0   1/2
 -1   0   0     0
) '
b -x,y,x -1 {mxz|0,1/2,0}'
167d.z,-y+1/2,-x
mz,-my,-mx

(
  0   0   1     0
  0  -1   0   1/2
 -1   0   0     0
) '
-4- 0,y,0 0,1/4,0 -1 {-4y-1|0,1/2,0}'
168d.z,y+1/2,x
mz,my,mx

(
  0   0   1     0
  0   1   0   1/2
  1   0   0     0
) '
b x,y,x -1 {m-xz|0,1/2,0}'
169d.-x+1/2,-y+1/2,-z
-mx,-my,-mz

(
 -1   0   0   1/2
  0  -1   0   1/2
  0   0  -1     0
) '
-1 1/4,1/4,0 -1 {-1|1/2,1/2,0}'
170d.x+1/2,y+1/2,-z
mx,my,-mz

(
  1   0   0   1/2
  0   1   0   1/2
  0   0  -1     0
) '
n (1/2,1/2,0) x,y,0 -1 {mz|1/2,1/2,0}'
171d.x+1/2,-y+1/2,z
mx,-my,mz

(
  1   0   0   1/2
  0  -1   0   1/2
  0   0   1     0
) '
a x,1/4,z -1 {my|1/2,1/2,0}'
172d.-x+1/2,y+1/2,z
-mx,my,mz

(
 -1   0   0   1/2
  0   1   0   1/2
  0   0   1     0
) '
b 1/4,y,z -1 {mx|1/2,1/2,0}'
173d.-z+1/2,-x+1/2,-y
-mz,-mx,-my

(
  0   0  -1   1/2
 -1   0   0   1/2
  0  -1   0     0
) '
-3+ x+1/2,x,x 1/2,0,0 -1 {-3xyz|1/2,1/2,0}'
174d.-z+1/2,x+1/2,y
-mz,mx,my

(
  0   0  -1   1/2
  1   0   0   1/2
  0   1   0     0
) '
-3+ -x-1/2,x+1,-x 0,1/2,1/2 -1 {-3x-yz-1|1/2,1/2,0}'
175d.z+1/2,x+1/2,-y
mz,mx,-my

(
  0   0   1   1/2
  1   0   0   1/2
  0  -1   0     0
) '
-3+ x-0.5,-x+1,-x 0,1/2,-1/2 -1 {-3-xyz-1|1/2,1/2,0}'
176d.z+1/2,-x+1/2,y
mz,-mx,my

(
  0   0   1   1/2
 -1   0   0   1/2
  0   1   0     0
) '
-3+ -x+1/2,-x,x 1/2,0,0 -1 {-3xy-z-1|1/2,1/2,0}'
177d.-y+1/2,-z+1/2,-x
-my,-mz,-mx

(
  0  -1   0   1/2
  0   0  -1   1/2
 -1   0   0     0
) '
-3- x,x+1/2,x 0,1/2,0 -1 {-3xyz-1|1/2,1/2,0}'
178d.y+1/2,-z+1/2,x
my,-mz,mx

(
  0   1   0   1/2
  0   0  -1   1/2
  1   0   0     0
) '
-3- x+1,-x,-x 1/2,0,1/2 -1 {-3-xyz|1/2,1/2,0}'
179d.-y+1/2,z+1/2,x
-my,mz,mx

(
  0  -1   0   1/2
  0   0   1   1/2
  1   0   0     0
) '
-3- -x,-x+1/2,x 0,1/2,0 -1 {-3xy-z|1/2,1/2,0}'
180d.y+1/2,z+1/2,-x
my,mz,-mx

(
  0   1   0   1/2
  0   0   1   1/2
 -1   0   0     0
) '
-3- -x+1,x-1/2,-x 1/2,0,-1/2 -1 {-3x-yz|1/2,1/2,0}'
181d.-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}'
182d.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 {m-xy|0,0,1/2}'
183d.-y,x,-z+1/2
-my,mx,-mz

(
  0  -1   0     0
  1   0   0     0
  0   0  -1   1/2
) '
-4- 0,0,z 0,0,1/4 -1 {-4z-1|0,0,1/2}'
184d.y,-x,-z+1/2
my,-mx,-mz

(
  0   1   0     0
 -1   0   0     0
  0   0  -1   1/2
) '
-4+ 0,0,z 0,0,1/4 -1 {-4z|0,0,1/2}'
185d.-x,-z,y+1/2
-mx,-mz,my

(
 -1   0   0     0
  0   0  -1     0
  0   1   0   1/2
) '
-4- x,-1/4,1/4 0,-1/4,1/4 -1 {-4x-1|0,0,1/2}'
186d.x,-z,-y+1/2
mx,-mz,-my

(
  1   0   0     0
  0   0  -1     0
  0  -1   0   1/2
) '
g (0,-1/4,1/4) x,y+1/4,-y -1 {myz|0,0,1/2}'
187d.x,z,y+1/2
mx,mz,my

(
  1   0   0     0
  0   0   1     0
  0   1   0   1/2
) '
g (0,1/4,1/4) x,y-1/4,y -1 {m-yz|0,0,1/2}'
188d.-x,z,-y+1/2
-mx,mz,-my

(
 -1   0   0     0
  0   0   1     0
  0  -1   0   1/2
) '
-4+ x,1/4,1/4 0,1/4,1/4 -1 {-4x|0,0,1/2}'
189d.-z,-y,x+1/2
-mz,-my,mx

(
  0   0  -1     0
  0  -1   0     0
  1   0   0   1/2
) '
-4+ -1/4,y,1/4 -1/4,0,1/4 -1 {-4y|0,0,1/2}'
190d.-z,y,-x+1/2
-mz,my,-mx

(
  0   0  -1     0
  0   1   0     0
 -1   0   0   1/2
) '
g (-1/4,0,1/4) -x+1/4,y,x -1 {mxz|0,0,1/2}'
191d.z,-y,-x+1/2
mz,-my,-mx

(
  0   0   1     0
  0  -1   0     0
 -1   0   0   1/2
) '
-4- 1/4,y,1/4 1/4,0,1/4 -1 {-4y-1|0,0,1/2}'
192d.z,y,x+1/2
mz,my,mx

(
  0   0   1     0
  0   1   0     0
  1   0   0   1/2
) '
g (1/4,0,1/4) x-0.25,y,x -1 {m-xz|0,0,1/2}'
Show/Hide Derived operators due to the centring translations


Go to the Wyckoff Positions of 226.126 (Fm'-3'c')
Go to the extinction rules of 226.126 (Fm'-3'c')



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