Bilbao Crystallographic Server MGENPOS General Positions of Magnetic Space Groups Help

## General Positions of the Group Fd-3m' (#227.131) 227.131 Fd-3m' (UNI symbol)For this space group, BNS and OG settings coincide.Its label in the OG setting is given as: Fd-3m' (#227.4.1631)

N Standard/Default Setting
(x,y,z) form Matrix form Geom. interp. Seitz notation
1 x, y, z, +1
mx,my,mz
 ``` 1 0 0 0 0 1 0 0 0 0 1 0```
1 +1 { 1 | 0 }
2 x, -y+1/4, -z+1/4, +1
mx,-my,-mz
 ``` 1 0 0 0 0 -1 0 1/4 0 0 -1 1/4```
2 x,1/8,1/8 +1 { 2100 | 0 1/4 1/4 }
3 -x+1/4, y, -z+1/4, +1
-mx,my,-mz
 ``` -1 0 0 1/4 0 1 0 0 0 0 -1 1/4```
2 1/8,y,1/8 +1 { 2010 | 1/4 0 1/4 }
4 -x+1/4, -y+1/4, z, +1
-mx,-my,mz
 ``` -1 0 0 1/4 0 -1 0 1/4 0 0 1 0```
2 1/8,1/8,z +1 { 2001 | 1/4 1/4 0 }
5 z, x, y, +1
mz,mx,my
 ``` 0 0 1 0 1 0 0 0 0 1 0 0```
3+ x,x,x +1 { 3+111 | 0 }
6 y, z, x, +1
my,mz,mx
 ``` 0 1 0 0 0 0 1 0 1 0 0 0```
3- x,x,x +1 { 3-111 | 0 }
7 -y+1/4, z, -x+1/4, +1
-my,mz,-mx
 ``` 0 -1 0 1/4 0 0 1 0 -1 0 0 1/4```
3- x+1/4,-x,-x +1 { 3-1-1-1 | 1/4 0 1/4 }
8 -z+1/4, -x+1/4, y, +1
-mz,-mx,my
 ``` 0 0 -1 1/4 -1 0 0 1/4 0 1 0 0```
3+ x+1/4,-x,-x +1 { 3+1-1-1 | 1/4 1/4 0 }
9 -y+1/4, -z+1/4, x, +1
-my,-mz,mx
 ``` 0 -1 0 1/4 0 0 -1 1/4 1 0 0 0```
3- -x,x+1/4,-x +1 { 3--11-1 | 1/4 1/4 0 }
10 z, -x+1/4, -y+1/4, +1
mz,-mx,-my
 ``` 0 0 1 0 -1 0 0 1/4 0 -1 0 1/4```
3+ -x,x+1/4,-x +1 { 3+-11-1 | 0 1/4 1/4 }
11 y, -z+1/4, -x+1/4, +1
my,-mz,-mx
 ``` 0 1 0 0 0 0 -1 1/4 -1 0 0 1/4```
3- -x+1/4,-x+1/4,x +1 { 3--1-11 | 0 1/4 1/4 }
12 -z+1/4, x, -y+1/4, +1
-mz,mx,-my
 ``` 0 0 -1 1/4 1 0 0 0 0 -1 0 1/4```
3+ -x+1/4,-x+1/4,x +1 { 3+-1-11 | 1/4 0 1/4 }
13 -x, -y, -z, +1
mx,my,mz
 ``` -1 0 0 0 0 -1 0 0 0 0 -1 0```
-1 0,0,0 +1 { -1 | 0 }
14 -x, y+1/4, z+1/4, +1
mx,-my,-mz
 ``` -1 0 0 0 0 1 0 1/4 0 0 1 1/4```
d (0,1/4,1/4) 0,y,z +1 { m100 | 0 1/4 1/4 }
15 x+1/4, -y, z+1/4, +1
-mx,my,-mz
 ``` 1 0 0 1/4 0 -1 0 0 0 0 1 1/4```
d (1/4,0,1/4) x,0,z +1 { m010 | 1/4 0 1/4 }
16 x+1/4, y+1/4, -z, +1
-mx,-my,mz
 ``` 1 0 0 1/4 0 1 0 1/4 0 0 -1 0```
d (1/4,1/4,0) x,y,0 +1 { m001 | 1/4 1/4 0 }
17 -z, -x, -y, +1
mz,mx,my
 ``` 0 0 -1 0 -1 0 0 0 0 -1 0 0```
-3+ x,x,x 0,0,0 +1 { -3+111 | 0 }
18 -y, -z, -x, +1
my,mz,mx
 ``` 0 -1 0 0 0 0 -1 0 -1 0 0 0```
-3- x,x,x 0,0,0 +1 { -3-111 | 0 }
19 y+1/4, -z, x+1/4, +1
-my,mz,-mx
 ``` 0 1 0 1/4 0 0 -1 0 1 0 0 1/4```
-3- x+1/4,-x,-x 0,-1/4,1/4 +1 { -3-1-1-1 | 1/4 0 1/4 }
20 z+1/4, x+1/4, -y, +1
-mz,-mx,my
 ``` 0 0 1 1/4 1 0 0 1/4 0 -1 0 0```
-3+ x-0.25,-x+1/2,-x 0,1/4,-1/4 +1 { -3+1-1-1 | 1/4 1/4 0 }
21 y+1/4, z+1/4, -x, +1
-my,-mz,mx
 ``` 0 1 0 1/4 0 0 1 1/4 -1 0 0 0```
-3- -x+1/2,x-1/4,-x 1/4,0,-1/4 +1 { -3--11-1 | 1/4 1/4 0 }
22 -z, x+1/4, y+1/4, +1
mz,-mx,-my
 ``` 0 0 -1 0 1 0 0 1/4 0 1 0 1/4```
-3+ -x-1/2,x+1/4,-x -1/4,0,1/4 +1 { -3+-11-1 | 0 1/4 1/4 }
23 -y, z+1/4, x+1/4, +1
my,-mz,-mx
 ``` 0 -1 0 0 0 0 1 1/4 1 0 0 1/4```
-3- -x-1/4,-x+1/4,x -1/4,1/4,0 +1 { -3--1-11 | 0 1/4 1/4 }
24 z+1/4, -x, y+1/4, +1
-mz,mx,-my
 ``` 0 0 1 1/4 -1 0 0 0 0 1 0 1/4```
-3+ -x+1/4,-x,x 1/4,-1/4,0 +1 { -3+-1-11 | 1/4 0 1/4 }
25 x+1/4, -z, y+1/4, -1
-mx,mz,-my
 ``` 1 0 0 1/4 0 0 -1 0 0 1 0 1/4``` '
4+ (1/4,0,0) x,-1/8,1/8 -1 { 4'+100 | 1/4 0 1/4 }
26 x+1/4, z+1/4, -y, -1
-mx,-mz,my
 ``` 1 0 0 1/4 0 0 1 1/4 0 -1 0 0``` '
4- (1/4,0,0) x,1/8,-1/8 -1 { 4'-100 | 1/4 1/4 0 }
27 z+1/4, y+1/4, -x, -1
-mz,-my,mx
 ``` 0 0 1 1/4 0 1 0 1/4 -1 0 0 0``` '
4+ (0,1/4,0) 1/8,y,-1/8 -1 { 4'+010 | 1/4 1/4 0 }
28 -z, y+1/4, x+1/4, -1
mz,-my,-mx
 ``` 0 0 -1 0 0 1 0 1/4 1 0 0 1/4``` '
4- (0,1/4,0) -1/8,y,1/8 -1 { 4'-010 | 0 1/4 1/4 }
29 -y, x+1/4, z+1/4, -1
my,-mx,-mz
 ``` 0 -1 0 0 1 0 0 1/4 0 0 1 1/4``` '
4+ (0,0,1/4) -1/8,1/8,z -1 { 4'+001 | 0 1/4 1/4 }
30 y+1/4, -x, z+1/4, -1
-my,mx,-mz
 ``` 0 1 0 1/4 -1 0 0 0 0 0 1 1/4``` '
4- (0,0,1/4) 1/8,-1/8,z -1 { 4'-001 | 1/4 0 1/4 }
31 y+1/4, x+1/4, -z, -1
-my,-mx,mz
 ``` 0 1 0 1/4 1 0 0 1/4 0 0 -1 0``` '
2 (1/4,1/4,0) x,x,0 -1 { 2'110 | 1/4 1/4 0 }
32 -y, -x, -z, -1
my,mx,mz
 ``` 0 -1 0 0 -1 0 0 0 0 0 -1 0``` '
2 x,-x,0 -1 { 2'1-10 | 0 }
33 -x, z+1/4, y+1/4, -1
mx,-mz,-my
 ``` -1 0 0 0 0 0 1 1/4 0 1 0 1/4``` '
2 (0,1/4,1/4) 0,y,y -1 { 2'011 | 0 1/4 1/4 }
34 -x, -z, -y, -1
mx,mz,my
 ``` -1 0 0 0 0 0 -1 0 0 -1 0 0``` '
2 0,y,-y -1 { 2'01-1 | 0 }
35 z+1/4, -y, x+1/4, -1
-mz,my,-mx
 ``` 0 0 1 1/4 0 -1 0 0 1 0 0 1/4``` '
2 (1/4,0,1/4) x,0,x -1 { 2'101 | 1/4 0 1/4 }
36 -z, -y, -x, -1
mz,my,mx
 ``` 0 0 -1 0 0 -1 0 0 -1 0 0 0``` '
2 -x,0,x -1 { 2'-101 | 0 }
37 -x+1/4, z, -y+1/4, -1
-mx,mz,-my
 ``` -1 0 0 1/4 0 0 1 0 0 -1 0 1/4``` '
-4+ x,1/8,1/8 1/8,1/8,1/8 -1 { -4'+100 | 1/4 0 1/4 }
38 -x+1/4, -z+1/4, y, -1
-mx,-mz,my
 ``` -1 0 0 1/4 0 0 -1 1/4 0 1 0 0``` '
-4- x,1/8,1/8 1/8,1/8,1/8 -1 { -4'-100 | 1/4 1/4 0 }
39 -z+1/4, -y+1/4, x, -1
-mz,-my,mx
 ``` 0 0 -1 1/4 0 -1 0 1/4 1 0 0 0``` '
-4+ 1/8,y,1/8 1/8,1/8,1/8 -1 { -4'+010 | 1/4 1/4 0 }
40 z, -y+1/4, -x+1/4, -1
mz,-my,-mx
 ``` 0 0 1 0 0 -1 0 1/4 -1 0 0 1/4``` '
-4- 1/8,y,1/8 1/8,1/8,1/8 -1 { -4'-010 | 0 1/4 1/4 }
41 y, -x+1/4, -z+1/4, -1
my,-mx,-mz
 ``` 0 1 0 0 -1 0 0 1/4 0 0 -1 1/4``` '
-4+ 1/8,1/8,z 1/8,1/8,1/8 -1 { -4'+001 | 0 1/4 1/4 }
42 -y+1/4, x, -z+1/4, -1
-my,mx,-mz
 ``` 0 -1 0 1/4 1 0 0 0 0 0 -1 1/4``` '
-4- 1/8,1/8,z 1/8,1/8,1/8 -1 { -4'-001 | 1/4 0 1/4 }
43 -y+1/4, -x+1/4, z, -1
-my,-mx,mz
 ``` 0 -1 0 1/4 -1 0 0 1/4 0 0 1 0``` '
m x+1/4,-x,z -1 { m'110 | 1/4 1/4 0 }
44 y, x, z, -1
my,mx,mz
 ``` 0 1 0 0 1 0 0 0 0 0 1 0``` '
m x,x,z -1 { m'1-10 | 0 }
45 x, -z+1/4, -y+1/4, -1
mx,-mz,-my
 ``` 1 0 0 0 0 0 -1 1/4 0 -1 0 1/4``` '
m x,y+1/4,-y -1 { m'011 | 0 1/4 1/4 }
46 x, z, y, -1
mx,mz,my
 ``` 1 0 0 0 0 0 1 0 0 1 0 0``` '
m x,y,y -1 { m'01-1 | 0 }
47 -z+1/4, y, -x+1/4, -1
-mz,my,-mx
 ``` 0 0 -1 1/4 0 1 0 0 -1 0 0 1/4``` '
m -x+1/4,y,x -1 { m'101 | 1/4 0 1/4 }
48 z, y, x, -1
mz,my,mx
 ``` 0 0 1 0 0 1 0 0 1 0 0 0``` '
m x,y,x -1 { m'-101 | 0 }
49 x, y+1/2, z+1/2, +1
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 }
50 x, -y+3/4, -z+3/4, +1
mx,-my,-mz
 ``` 1 0 0 0 0 -1 0 3/4 0 0 -1 3/4```
2 x,3/8,3/8 +1 { 2100 | 0 3/4 3/4 }
51 -x+1/4, y+1/2, -z+3/4, +1
-mx,my,-mz
 ``` -1 0 0 1/4 0 1 0 1/2 0 0 -1 3/4```
2 (0,1/2,0) 1/8,y,3/8 +1 { 2010 | 1/4 1/2 3/4 }
52 -x+1/4, -y+3/4, z+1/2, +1
-mx,-my,mz
 ``` -1 0 0 1/4 0 -1 0 3/4 0 0 1 1/2```
2 (0,0,1/2) 1/8,3/8,z +1 { 2001 | 1/4 3/4 1/2 }
53 z, x+1/2, y+1/2, +1
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 { 3+111 | 0 1/2 1/2 }
54 y, z+1/2, x+1/2, +1
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 { 3-111 | 0 1/2 1/2 }
55 -y+1/4, z+1/2, -x+3/4, +1
-my,mz,-mx
 ``` 0 -1 0 1/4 0 0 1 1/2 -1 0 0 3/4```
3- (-1/3,1/3,1/3) x+5/12,-x+1/6,-x +1 { 3-1-1-1 | 1/4 1/2 3/4 }
56 -z+1/4, -x+3/4, y+1/2, +1
-mz,-mx,my
 ``` 0 0 -1 1/4 -1 0 0 3/4 0 1 0 1/2```
3+ (-1/3,1/3,1/3) x+7/12,-x,-x +1 { 3+1-1-1 | 1/4 3/4 1/2 }
57 -y+1/4, -z+3/4, x+1/2, +1
-my,-mz,mx
 ``` 0 -1 0 1/4 0 0 -1 3/4 1 0 0 1/2```
3- -x-1/2,x+3/4,-x +1 { 3--11-1 | 1/4 3/4 1/2 }
58 z, -x+3/4, -y+3/4, +1
mz,-mx,-my
 ``` 0 0 1 0 -1 0 0 3/4 0 -1 0 3/4```
3+ -x,x+3/4,-x +1 { 3+-11-1 | 0 3/4 3/4 }
59 y, -z+3/4, -x+3/4, +1
my,-mz,-mx
 ``` 0 1 0 0 0 0 -1 3/4 -1 0 0 3/4```
3- -x+3/4,-x+3/4,x +1 { 3--1-11 | 0 3/4 3/4 }
60 -z+1/4, x+1/2, -y+3/4, +1
-mz,mx,-my
 ``` 0 0 -1 1/4 1 0 0 1/2 0 -1 0 3/4```
3+ -x+1/4,-x+3/4,x +1 { 3+-1-11 | 1/4 1/2 3/4 }
61 -x, -y+1/2, -z+1/2, +1
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 }
62 -x, y+3/4, z+3/4, +1
mx, -my, -mz
 ``` -1 0 0 0 0 1 0 3/4 0 0 1 3/4```
d (0,3/4,3/4) 0,y,z +1 { m100 | 0 3/4 3/4 }
63 x+1/4, -y+1/2, z+3/4, +1
-mx, my, -mz
 ``` 1 0 0 1/4 0 -1 0 1/2 0 0 1 3/4```
d (1/4,0,3/4) x,1/4,z +1 { m010 | 1/4 1/2 3/4 }
64 x+1/4, y+3/4, -z+1/2, +1
-mx, -my, mz
 ``` 1 0 0 1/4 0 1 0 3/4 0 0 -1 1/2```
d (1/4,3/4,0) x,y,1/4 +1 { m001 | 1/4 3/4 1/2 }
65 -z, -x+1/2, -y+1/2, +1
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+111 | 0 1/2 1/2 }
66 -y, -z+1/2, -x+1/2, +1
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 { -3-111 | 0 1/2 1/2 }
67 y+1/4, -z+1/2, x+3/4, +1
-my, mz, -mx
 ``` 0 1 0 1/4 0 0 -1 1/2 1 0 0 3/4```
-3- x+3/4,-x,-x 0,-1/4,3/4 +1 { -3-1-1-1 | 1/4 1/2 3/4 }
68 z+1/4, x+3/4, -y+1/2, +1
-mz, -mx, my
 ``` 0 0 1 1/4 1 0 0 3/4 0 -1 0 1/2```
-3+ x-0.25,-x+1,-x 0,3/4,-1/4 +1 { -3+1-1-1 | 1/4 3/4 1/2 }
69 y+1/4, z+3/4, -x+1/2, +1
-my, -mz, mx
 ``` 0 1 0 1/4 0 0 1 3/4 -1 0 0 1/2```
-3- -x+1,x+1/4,-x 3/4,1/2,-1/4 +1 { -3--11-1 | 1/4 3/4 1/2 }
70 -z, x+3/4, y+3/4, +1
mz, -mx, -my
 ``` 0 0 -1 0 1 0 0 3/4 0 1 0 3/4```
-3+ -x-3/2,x+3/4,-x -3/4,0,3/4 +1 { -3+-11-1 | 0 3/4 3/4 }
71 -y, z+3/4, x+3/4, +1
my, -mz, -mx
 ``` 0 -1 0 0 0 0 1 3/4 1 0 0 3/4```
-3- -x-3/4,-x+3/4,x -3/4,3/4,0 +1 { -3--1-11 | 0 3/4 3/4 }
72 z+1/4, -x+1/2, y+3/4, +1
-mz, mx, -my
 ``` 0 0 1 1/4 -1 0 0 1/2 0 1 0 3/4```
-3+ -x+5/4,-x+1/4,x 3/4,-1/4,1/2 +1 { -3+-1-11 | 1/4 1/2 3/4 }
73 x+1/4, -z+1/2, y+3/4, -1
-mx, mz, -my
 ``` 1 0 0 1/4 0 0 -1 1/2 0 1 0 3/4``` '
4+ (1/4,0,0) x,-1/8,5/8 -1 { 4'+100 | 1/4 1/2 3/4 }
74 x+1/4, z+3/4, -y+1/2, -1
-mx, -mz, my
 ``` 1 0 0 1/4 0 0 1 3/4 0 -1 0 1/2``` '
4- (1/4,0,0) x,5/8,-1/8 -1 { 4'-100 | 1/4 3/4 1/2 }
75 z+1/4, y+3/4, -x+1/2, -1
-mz, -my, mx
 ``` 0 0 1 1/4 0 1 0 3/4 -1 0 0 1/2``` '
4+ (0,3/4,0) 3/8,y,1/8 -1 { 4'+010 | 1/4 3/4 1/2 }
76 -z, y+3/4, x+3/4, -1
mz, -my, -mx
 ``` 0 0 -1 0 0 1 0 3/4 1 0 0 3/4``` '
4- (0,3/4,0) -3/8,y,3/8 -1 { 4'-010 | 0 3/4 3/4 }
77 -y, x+3/4, z+3/4, -1
my, -mx, -mz
 ``` 0 -1 0 0 1 0 0 3/4 0 0 1 3/4``` '
4+ (0,0,3/4) -3/8,3/8,z -1 { 4'+001 | 0 3/4 3/4 }
78 y+1/4, -x+1/2, z+3/4, -1
-my, mx, -mz
 ``` 0 1 0 1/4 -1 0 0 1/2 0 0 1 3/4``` '
4- (0,0,3/4) 3/8,1/8,z -1 { 4'-001 | 1/4 1/2 3/4 }
79 y+1/4, x+3/4, -z+1/2, -1
-my, -mx, mz
 ``` 0 1 0 1/4 1 0 0 3/4 0 0 -1 1/2``` '
2 (1/2,1/2,0) x,x+1/4,1/4 -1 { 2'110 | 1/4 3/4 1/2 }
80 -y, -x+1/2, -z+1/2, -1
my, mx, mz
 ``` 0 -1 0 0 -1 0 0 1/2 0 0 -1 1/2``` '
2 (-1/4,1/4,0) x,-x+1/4,1/4 -1 { 2'1-10 | 0 1/2 1/2 }
81 -x, z+3/4, y+3/4, -1
mx, -mz, -my
 ``` -1 0 0 0 0 0 1 3/4 0 1 0 3/4``` '
2 (0,3/4,3/4) 0,y,y -1 { 2'011 | 0 3/4 3/4 }
82 -x, -z+1/2, -y+1/2, -1
mx, mz, my
 ``` -1 0 0 0 0 0 -1 1/2 0 -1 0 1/2``` '
2 0,y+1/2,-y -1 { 2'01-1 | 0 1/2 1/2 }
83 z+1/4, -y+1/2, x+3/4, -1
-mz, my, -mx
 ``` 0 0 1 1/4 0 -1 0 1/2 1 0 0 3/4``` '
2 (1/2,0,1/2) x-0.25,1/4,x -1 { 2'101 | 1/4 1/2 3/4 }
84 -z, -y+1/2, -x+1/2, -1
mz, my, mx
 ``` 0 0 -1 0 0 -1 0 1/2 -1 0 0 1/2``` '
2 (-1/4,0,1/4) -x+1/4,1/4,x -1 { 2'-101 | 0 1/2 1/2 }
85 -x+1/4, z+1/2, -y+3/4, -1
-mx,mz,-my
 ``` -1 0 0 1/4 0 0 1 1/2 0 -1 0 3/4``` '
-4+ x,5/8,1/8 1/8,5/8,1/8 -1 { -4'+100 | 1/4 1/2 3/4 }
86 -x+1/4, -z+3/4, y+1/2, -1
-mx,-mz,my
 ``` -1 0 0 1/4 0 0 -1 3/4 0 1 0 1/2``` '
-4- x,1/8,5/8 1/8,1/8,5/8 -1 { -4'-100 | 1/4 3/4 1/2 }
87 -z+1/4, -y+3/4, x+1/2, -1
-mz,-my,mx
 ``` 0 0 -1 1/4 0 -1 0 3/4 1 0 0 1/2``` '
-4+ -1/8,y,3/8 -1/8,3/8,3/8 -1 { -4'+010 | 1/4 3/4 1/2 }
88 z, -y+3/4, -x+3/4, -1
mz,-my,-mx
 ``` 0 0 1 0 0 -1 0 3/4 -1 0 0 3/4``` '
-4- 3/8,y,3/8 3/8,3/8,3/8 -1 { -4'-010 | 0 3/4 3/4 }
89 y, -x+3/4, -z+3/4, -1
my,-mx,-mz
 ``` 0 1 0 0 -1 0 0 3/4 0 0 -1 3/4``` '
-4+ 3/8,3/8,z 3/8,3/8,3/8 -1 { -4'+001 | 0 3/4 3/4 }
90 -y+1/4, x+1/2, -z+3/4, -1
-my,mx,-mz
 ``` 0 -1 0 1/4 1 0 0 1/2 0 0 -1 3/4``` '
-4- -1/8,3/8,z -1/8,3/8,3/8 -1 { -4'-001 | 1/4 1/2 3/4 }
91 -y+1/4, -x+3/4, z+1/2, -1
-my,-mx,mz
 ``` 0 -1 0 1/4 -1 0 0 3/4 0 0 1 1/2``` '
g (-1/4,1/4,1/2) x+1/2,-x,z -1 { m'110 | 1/4 3/4 1/2 }
92 y, x+1/2, z+1/2, -1
my,mx,mz
 ``` 0 1 0 0 1 0 0 1/2 0 0 1 1/2``` '
g (1/4,1/4,1/2) x-0.25,x,z -1 { m'1-10 | 0 1/2 1/2 }
93 x, -z+3/4, -y+3/4, -1
mx,-mz,-my
 ``` 1 0 0 0 0 0 -1 3/4 0 -1 0 3/4``` '
m x,y+3/4,-y -1 { m'011 | 0 3/4 3/4 }
94 x, z+1/2, y+1/2, -1
mx,mz,my
 ``` 1 0 0 0 0 0 1 1/2 0 1 0 1/2``` '
g (0,1/2,1/2) x,y,y -1 { m'01-1 | 0 1/2 1/2 }
95 -z+1/4, y+1/2, -x+3/4, -1
-mz,my,-mx
 ``` 0 0 -1 1/4 0 1 0 1/2 -1 0 0 3/4``` '
g (-1/4,1/2,1/4) -x+1/2,y,x -1 { m'101 | 1/4 1/2 3/4 }
96 z, y+1/2, x+1/2, -1
mz,my,mx
 ``` 0 0 1 0 0 1 0 1/2 1 0 0 1/2``` '
g (1/4,1/2,1/4) x-0.25,y,x -1 { m'-101 | 0 1/2 1/2 }
97 x+1/2, y, z+1/2, +1
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 }
98 x+1/2, -y+1/4, -z+3/4, +1
mx,-my,-mz
 ``` 1 0 0 1/2 0 -1 0 1/4 0 0 -1 3/4```
2 (1/2,0,0) x,1/8,3/8 +1 { 2100 | 1/2 1/4 3/4 }
99 -x+3/4, y, -z+3/4, +1
-mx,my,-mz
 ``` -1 0 0 3/4 0 1 0 0 0 0 -1 3/4```
2 3/8,y,3/8 +1 { 2010 | 3/4 0 3/4 }
100 -x+3/4, -y+1/4, z+1/2, +1
-mx,-my,mz
 ``` -1 0 0 3/4 0 -1 0 1/4 0 0 1 1/2```
2 (0,0,1/2) 3/8,1/8,z +1 { 2001 | 3/4 1/4 1/2 }
101 z+1/2, x, y+1/2, +1
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 { 3+111 | 1/2 0 1/2 }
102 y+1/2, z, x+1/2, +1
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 { 3-111 | 1/2 0 1/2 }
103 -y+3/4, z, -x+3/4, +1
-my,mz,-mx
 ``` 0 -1 0 3/4 0 0 1 0 -1 0 0 3/4```
3- x+3/4,-x,-x +1 { 3-1-1-1 | 3/4 0 3/4 }
104 -z+3/4, -x+1/4, y+1/2, +1
-mz,-mx,my
 ``` 0 0 -1 3/4 -1 0 0 1/4 0 1 0 1/2```
3+ x+3/4,-x,-x +1 { 3+1-1-1 | 3/4 1/4 1/2 }
105 -y+3/4, -z+1/4, x+1/2, +1
-my,-mz,mx
 ``` 0 -1 0 3/4 0 0 -1 1/4 1 0 0 1/2```
3- (1/3,-1/3,1/3) -x-1/6,x+7/12,-x +1 { 3--11-1 | 3/4 1/4 1/2 }
106 z+1/2, -x+1/4, -y+3/4, +1
mz,-mx,-my
 ``` 0 0 1 1/2 -1 0 0 1/4 0 -1 0 3/4```
3+ (1/3,-1/3,1/3) -x+1/6,x+5/12,-x +1 { 3+-11-1 | 1/2 1/4 3/4 }
107 y+1/2, -z+1/4, -x+3/4, +1
my,-mz,-mx
 ``` 0 1 0 1/2 0 0 -1 1/4 -1 0 0 3/4```
3- -x+3/4,-x+1/4,x +1 { 3--1-11 | 1/2 1/4 3/4 }
108 -z+3/4, x, -y+3/4, +1
-mz,mx,-my
 ``` 0 0 -1 3/4 1 0 0 0 0 -1 0 3/4```
3+ -x+3/4,-x+3/4,x +1 { 3+-1-11 | 3/4 0 3/4 }
109 -x+1/2, -y, -z+1/2, +1
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 }
110 -x+1/2, y+1/4, z+3/4, +1
mx, -my, -mz
 ``` -1 0 0 1/2 0 1 0 1/4 0 0 1 3/4```
d (0,1/4,3/4) 1/4,y,z +1 { m100 | 1/2 1/4 3/4 }
111 x+3/4, -y, z+3/4, +1
-mx, my, -mz
 ``` 1 0 0 3/4 0 -1 0 0 0 0 1 3/4```
d (3/4,0,3/4) x,0,z +1 { m010 | 3/4 0 3/4 }
112 x+3/4, y+1/4, -z+1/2, +1
-mx, -my, mz
 ``` 1 0 0 3/4 0 1 0 1/4 0 0 -1 1/2```
d (3/4,1/4,0) x,y,1/4 +1 { m001 | 3/4 1/4 1/2 }
113 -z+1/2, -x, -y+1/2, +1
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 { -3+111 | 1/2 0 1/2 }
114 -y+1/2, -z, -x+1/2, +1
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 { -3-111 | 1/2 0 1/2 }
115 y+3/4, -z, x+3/4, +1
-my, mz, -mx
 ``` 0 1 0 3/4 0 0 -1 0 1 0 0 3/4```
-3- x+3/4,-x,-x 0,-3/4,3/4 +1 { -3-1-1-1 | 3/4 0 3/4 }
116 z+3/4, x+1/4, -y+1/2, +1
-mz, -mx, my
 ``` 0 0 1 3/4 1 0 0 1/4 0 -1 0 1/2```
-3+ x+1/4,-x+1,-x 1/2,3/4,-1/4 +1 { -3+1-1-1 | 3/4 1/4 1/2 }
117 y+3/4, z+1/4, -x+1/2, +1
-my, -mz, mx
 ``` 0 1 0 3/4 0 0 1 1/4 -1 0 0 1/2```
-3- -x+1,x-1/4,-x 3/4,0,-1/4 +1 { -3--11-1 | 3/4 1/4 1/2 }
118 -z+1/2, x+1/4, y+3/4, +1
mz, -mx, -my
 ``` 0 0 -1 1/2 1 0 0 1/4 0 1 0 3/4```
-3+ -x-1,x+3/4,-x -1/4,0,3/4 +1 { -3+-11-1 | 1/2 1/4 3/4 }
119 -y+1/2, z+1/4, x+3/4, +1
my, -mz, -mx
 ``` 0 -1 0 1/2 0 0 1 1/4 1 0 0 3/4```
-3- -x+1/4,-x+5/4,x -1/4,3/4,1/2 +1 { -3--1-11 | 1/2 1/4 3/4 }
120 z+3/4, -x, y+3/4, +1
-mz, mx, -my
 ``` 0 0 1 3/4 -1 0 0 0 0 1 0 3/4```
-3+ -x+3/4,-x,x 3/4,-3/4,0 +1 { -3+-1-11 | 3/4 0 3/4 }
121 x+3/4, -z, y+3/4, -1
-mx, mz, -my
 ``` 1 0 0 3/4 0 0 -1 0 0 1 0 3/4``` '
4+ (3/4,0,0) x,-3/8,3/8 -1 { 4'+100 | 3/4 0 3/4 }
122 x+3/4, z+1/4, -y+1/2, -1
-mx, -mz, my
 ``` 1 0 0 3/4 0 0 1 1/4 0 -1 0 1/2``` '
4- (3/4,0,0) x,3/8,1/8 -1 { 4'-100 | 3/4 1/4 1/2 }
123 z+3/4, y+1/4, -x+1/2, -1
-mz, -my, mx
 ``` 0 0 1 3/4 0 1 0 1/4 -1 0 0 1/2``` '
4+ (0,1/4,0) 5/8,y,-1/8 -1 { 4'+010 | 3/4 1/4 1/2 }
124 -z+1/2, y+1/4, x+3/4, -1
mz, -my, -mx
 ``` 0 0 -1 1/2 0 1 0 1/4 1 0 0 3/4``` '
4- (0,1/4,0) -1/8,y,5/8 -1 { 4'-010 | 1/2 1/4 3/4 }
125 -y+1/2, x+1/4, z+3/4, -1
my, -mx, -mz
 ``` 0 -1 0 1/2 1 0 0 1/4 0 0 1 3/4``` '
4+ (0,0,3/4) 1/8,3/8,z -1 { 4'+001 | 1/2 1/4 3/4 }
126 y+3/4, -x, z+3/4, -1
-my, mx, -mz
 ``` 0 1 0 3/4 -1 0 0 0 0 0 1 3/4``` '
4- (0,0,3/4) 3/8,-3/8,z -1 { 4'-001 | 3/4 0 3/4 }
127 y+3/4, x+1/4, -z+1/2, -1
-my, -mx, mz
 ``` 0 1 0 3/4 1 0 0 1/4 0 0 -1 1/2``` '
2 (1/2,1/2,0) x,x-1/4,1/4 -1 { 2'110 | 3/4 1/4 1/2 }
128 -y+1/2, -x, -z+1/2, -1
my, mx, mz
 ``` 0 -1 0 1/2 -1 0 0 0 0 0 -1 1/2``` '
2 (1/4,-1/4,0) x,-x+1/4,1/4 -1 { 2'1-10 | 1/2 0 1/2 }
129 -x+1/2, z+1/4, y+3/4, -1
mx, -mz, -my
 ``` -1 0 0 1/2 0 0 1 1/4 0 1 0 3/4``` '
2 (0,1/2,1/2) 1/4,y-1/4,y -1 { 2'011 | 1/2 1/4 3/4 }
130 -x+1/2, -z, -y+1/2, -1
mx, mz, my
 ``` -1 0 0 1/2 0 0 -1 0 0 -1 0 1/2``` '
2 (0,-1/4,1/4) 1/4,y+1/4,-y -1 { 2'01-1 | 1/2 0 1/2 }
131 z+3/4, -y, x+3/4, -1
-mz, my, -mx
 ``` 0 0 1 3/4 0 -1 0 0 1 0 0 3/4``` '
2 (3/4,0,3/4) x,0,x -1 { 2'101 | 3/4 0 3/4 }
132 -z+1/2, -y, -x+1/2, -1
mz, my, mx
 ``` 0 0 -1 1/2 0 -1 0 0 -1 0 0 1/2``` '
2 -x+1/2,0,x -1 { 2'-101 | 1/2 0 1/2 }
133 -x+3/4, z, -y+3/4, -1
-mx,mz,-my
 ``` -1 0 0 3/4 0 0 1 0 0 -1 0 3/4``` '
-4+ x,3/8,3/8 3/8,3/8,3/8 -1 { -4'+100 | 3/4 0 3/4 }
134 -x+3/4, -z+1/4, y+1/2, -1
-mx,-mz,my
 ``` -1 0 0 3/4 0 0 -1 1/4 0 1 0 1/2``` '
-4- x,-1/8,3/8 3/8,-1/8,3/8 -1 { -4'-100 | 3/4 1/4 1/2 }
135 -z+3/4, -y+1/4, x+1/2, -1
-mz,-my,mx
 ``` 0 0 -1 3/4 0 -1 0 1/4 1 0 0 1/2``` '
-4+ 1/8,y,5/8 1/8,1/8,5/8 -1 { -4'+010 | 3/4 1/4 1/2 }
136 z+1/2, -y+1/4, -x+3/4, -1
mz,-my,-mx
 ``` 0 0 1 1/2 0 -1 0 1/4 -1 0 0 3/4``` '
-4- 5/8,y,1/8 5/8,1/8,1/8 -1 { -4'-010 | 1/2 1/4 3/4 }
137 y+1/2, -x+1/4, -z+3/4, -1
my,-mx,-mz
 ``` 0 1 0 1/2 -1 0 0 1/4 0 0 -1 3/4``` '
-4+ 3/8,-1/8,z 3/8,-1/8,3/8 -1 { -4'+001 | 1/2 1/4 3/4 }
138 -y+3/4, x, -z+3/4, -1
-my,mx,-mz
 ``` 0 -1 0 3/4 1 0 0 0 0 0 -1 3/4``` '
-4- 3/8,3/8,z 3/8,3/8,3/8 -1 { -4'-001 | 3/4 0 3/4 }
139 -y+3/4, -x+1/4, z+1/2, -1
-my,-mx,mz
 ``` 0 -1 0 3/4 -1 0 0 1/4 0 0 1 1/2``` '
g (1/4,-1/4,1/2) x+1/2,-x,z -1 { m'110 | 3/4 1/4 1/2 }
140 y+1/2, x, z+1/2, -1
my,mx,mz
 ``` 0 1 0 1/2 1 0 0 0 0 0 1 1/2``` '
g (1/4,1/4,1/2) x+1/4,x,z -1 { m'1-10 | 1/2 0 1/2 }
141 x+1/2, -z+1/4, -y+3/4, -1
mx,-mz,-my
 ``` 1 0 0 1/2 0 0 -1 1/4 0 -1 0 3/4``` '
g (1/2,-1/4,1/4) x,y+1/2,-y -1 { m'011 | 1/2 1/4 3/4 }
142 x+1/2, z, y+1/2, -1
mx,mz,my
 ``` 1 0 0 1/2 0 0 1 0 0 1 0 1/2``` '
g (1/2,1/4,1/4) x,y-1/4,y -1 { m'01-1 | 1/2 0 1/2 }
143 -z+3/4, y, -x+3/4, -1
-mz,my,-mx
 ``` 0 0 -1 3/4 0 1 0 0 -1 0 0 3/4``` '
m -x+3/4,y,x -1 { m'101 | 3/4 0 3/4 }
144 z+1/2, y, x+1/2, -1
mz,my,mx
 ``` 0 0 1 1/2 0 1 0 0 1 0 0 1/2``` '
g (1/2,0,1/2) x,y,x -1 { m'-101 | 1/2 0 1/2 }
145 x+1/2, y+1/2, z, +1
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 }
146 x+1/2, -y+3/4, -z+1/4, +1
mx,-my,-mz
 ``` 1 0 0 1/2 0 -1 0 3/4 0 0 -1 1/4```
2 (1/2,0,0) x,3/8,1/8 +1 { 2100 | 1/2 3/4 1/4 }
147 -x+3/4, y+1/2, -z+1/4, +1
-mx,my,-mz
 ``` -1 0 0 3/4 0 1 0 1/2 0 0 -1 1/4```
2 (0,1/2,0) 3/8,y,1/8 +1 { 2010 | 3/4 1/2 1/4 }
148 -x+3/4, -y+3/4, z, +1
-mx,-my,mz
 ``` -1 0 0 3/4 0 -1 0 3/4 0 0 1 0```
2 3/8,3/8,z +1 { 2001 | 3/4 3/4 0 }
149 z+1/2, x+1/2, y, +1
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 { 3+111 | 1/2 1/2 0 }
150 y+1/2, z+1/2, x, +1
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 { 3-111 | 1/2 1/2 0 }
151 -y+3/4, z+1/2, -x+1/4, +1
-my,mz,-mx
 ``` 0 -1 0 3/4 0 0 1 1/2 -1 0 0 1/4```
3- x+1/4,-x+1/2,-x +1 { 3-1-1-1 | 3/4 1/2 1/4 }
152 -z+3/4, -x+3/4, y, +1
-mz,-mx,my
 ``` 0 0 -1 3/4 -1 0 0 3/4 0 1 0 0```
3+ x+3/4,-x,-x +1 { 3+1-1-1 | 3/4 3/4 0 }
153 -y+3/4, -z+3/4, x, +1
-my,-mz,mx
 ``` 0 -1 0 3/4 0 0 -1 3/4 1 0 0 0```
3- -x,x+3/4,-x +1 { 3--11-1 | 3/4 3/4 0 }
154 z+1/2, -x+3/4, -y+1/4, +1
mz,-mx,-my
 ``` 0 0 1 1/2 -1 0 0 3/4 0 -1 0 1/4```
3+ -x+1/2,x+1/4,-x +1 { 3+-11-1 | 1/2 3/4 1/4 }
155 y+1/2, -z+3/4, -x+1/4, +1
my,-mz,-mx
 ``` 0 1 0 1/2 0 0 -1 3/4 -1 0 0 1/4```
3- (1/3,1/3,-1/3) -x+7/12,-x+5/12,x +1 { 3--1-11 | 1/2 3/4 1/4 }
156 -z+3/4, x+1/2, -y+1/4, +1
-mz,mx,-my
 ``` 0 0 -1 3/4 1 0 0 1/2 0 -1 0 1/4```
3+ (1/3,1/3,-1/3) -x+5/12,-x+7/12,x +1 { 3+-1-11 | 3/4 1/2 1/4 }
157 -x+1/2, -y+1/2, -z, +1
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 }
158 -x+1/2, y+3/4, z+1/4, +1
mx, -my, -mz
 ``` -1 0 0 1/2 0 1 0 3/4 0 0 1 1/4```
d (0,3/4,1/4) 1/4,y,z +1 { m100 | 1/2 3/4 1/4 }
159 x+3/4, -y+1/2, z+1/4, +1
-mx, my, -mz
 ``` 1 0 0 3/4 0 -1 0 1/2 0 0 1 1/4```
d (3/4,0,1/4) x,1/4,z +1 { m010 | 3/4 1/2 1/4 }
160 x+3/4, y+3/4, -z, +1
-mx, -my, mz
 ``` 1 0 0 3/4 0 1 0 3/4 0 0 -1 0```
d (3/4,3/4,0) x,y,0 +1 { m001 | 3/4 3/4 0 }
161 -z+1/2, -x+1/2, -y, +1
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 { -3+111 | 1/2 1/2 0 }
162 -y+1/2, -z+1/2, -x, +1
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 { -3-111 | 1/2 1/2 0 }
163 y+3/4, -z+1/2, x+1/4, +1
-my, mz, -mx
 ``` 0 1 0 3/4 0 0 -1 1/2 1 0 0 1/4```
-3- x+5/4,-x,-x 1/2,-1/4,3/4 +1 { -3-1-1-1 | 3/4 1/2 1/4 }
164 z+3/4, x+3/4, -y, +1
-mz, -mx, my
 ``` 0 0 1 3/4 1 0 0 3/4 0 -1 0 0```
-3+ x-0.75,-x+3/2,-x 0,3/4,-3/4 +1 { -3+1-1-1 | 3/4 3/4 0 }
165 y+3/4, z+3/4, -x, +1
-my, -mz, mx
 ``` 0 1 0 3/4 0 0 1 3/4 -1 0 0 0```
-3- -x+3/2,x-3/4,-x 3/4,0,-3/4 +1 { -3--11-1 | 3/4 3/4 0 }
166 -z+1/2, x+3/4, y+1/4, +1
mz, -mx, -my
 ``` 0 0 -1 1/2 1 0 0 3/4 0 1 0 1/4```
-3+ -x-1,x+5/4,-x -1/4,1/2,3/4 +1 { -3+-11-1 | 1/2 3/4 1/4 }
167 -y+1/2, z+3/4, x+1/4, +1
my, -mz, -mx
 ``` 0 -1 0 1/2 0 0 1 3/4 1 0 0 1/4```
-3- -x-1/4,-x+3/4,x -1/4,3/4,0 +1 { -3--1-11 | 1/2 3/4 1/4 }
168 z+3/4, -x+1/2, y+1/4, +1
-mz, mx, -my
 ``` 0 0 1 3/4 -1 0 0 1/2 0 1 0 1/4```
-3+ -x+3/4,-x,x 3/4,-1/4,0 +1 { -3+-1-11 | 3/4 1/2 1/4 }
169 x+3/4, -z+1/2, y+1/4, -1
-mx, mz, -my
 ``` 1 0 0 3/4 0 0 -1 1/2 0 1 0 1/4``` '
4+ (3/4,0,0) x,1/8,3/8 -1 { 4'+100 | 3/4 1/2 1/4 }
170 x+3/4, z+3/4, -y, -1
-mx, -mz, my
 ``` 1 0 0 3/4 0 0 1 3/4 0 -1 0 0``` '
4- (3/4,0,0) x,3/8,-3/8 -1 { 4'-100 | 3/4 3/4 0 }
171 z+3/4, y+3/4, -x, -1
-mz, -my, mx
 ``` 0 0 1 3/4 0 1 0 3/4 -1 0 0 0``` '
4+ (0,3/4,0) 3/8,y,-3/8 -1 { 4'+010 | 3/4 3/4 0 }
172 -z+1/2, y+3/4, x+1/4, -1
mz, -my, -mx
 ``` 0 0 -1 1/2 0 1 0 3/4 1 0 0 1/4``` '
4- (0,3/4,0) 1/8,y,3/8 -1 { 4'-010 | 1/2 3/4 1/4 }
173 -y+1/2, x+3/4, z+1/4, -1
my, -mx, -mz
 ``` 0 -1 0 1/2 1 0 0 3/4 0 0 1 1/4``` '
4+ (0,0,1/4) -1/8,5/8,z -1 { 4'+001 | 1/2 3/4 1/4 }
174 y+3/4, -x+1/2, z+1/4, -1
-my, mx, -mz
 ``` 0 1 0 3/4 -1 0 0 1/2 0 0 1 1/4``` '
4- (0,0,1/4) 5/8,-1/8,z -1 { 4'-001 | 3/4 1/2 1/4 }
175 y+3/4, x+3/4, -z, -1
-my, -mx, mz
 ``` 0 1 0 3/4 1 0 0 3/4 0 0 -1 0``` '
2 (3/4,3/4,0) x,x,0 -1 { 2'110 | 3/4 3/4 0 }
176 -y+1/2, -x+1/2, -z, -1
my, mx, mz
 ``` 0 -1 0 1/2 -1 0 0 1/2 0 0 -1 0``` '
2 x,-x+1/2,0 -1 { 2'1-10 | 1/2 1/2 0 }
177 -x+1/2, z+3/4, y+1/4, -1
mx, -mz, -my
 ``` -1 0 0 1/2 0 0 1 3/4 0 1 0 1/4``` '
2 (0,1/2,1/2) 1/4,y+1/4,y -1 { 2'011 | 1/2 3/4 1/4 }
178 -x+1/2, -z+1/2, -y, -1
mx, mz, my
 ``` -1 0 0 1/2 0 0 -1 1/2 0 -1 0 0``` '
2 (0,1/4,-1/4) 1/4,y+1/4,-y -1 { 2'01-1 | 1/2 1/2 0 }
179 z+3/4, -y+1/2, x+1/4, -1
-mz, my, -mx
 ``` 0 0 1 3/4 0 -1 0 1/2 1 0 0 1/4``` '
2 (1/2,0,1/2) x+1/4,1/4,x -1 { 2'101 | 3/4 1/2 1/4 }
180 -z+1/2, -y+1/2, -x, -1
mz, my, mx
 ``` 0 0 -1 1/2 0 -1 0 1/2 -1 0 0 0``` '
2 (1/4,0,-1/4) -x+1/4,1/4,x -1 { 2'-101 | 1/2 1/2 0 }
181 -x+3/4, z+1/2, -y+1/4, -1
-mx,mz,-my
 ``` -1 0 0 3/4 0 0 1 1/2 0 -1 0 1/4``` '
-4+ x,3/8,-1/8 3/8,3/8,-1/8 -1 { -4'+100 | 3/4 1/2 1/4 }
182 -x+3/4, -z+3/4, y, -1
-mx,-mz,my
 ``` -1 0 0 3/4 0 0 -1 3/4 0 1 0 0``` '
-4- x,3/8,3/8 3/8,3/8,3/8 -1 { -4'-100 | 3/4 3/4 0 }
183 -z+3/4, -y+3/4, x, -1
-mz,-my,mx
 ``` 0 0 -1 3/4 0 -1 0 3/4 1 0 0 0``` '
-4+ 3/8,y,3/8 3/8,3/8,3/8 -1 { -4'+010 | 3/4 3/4 0 }
184 z+1/2, -y+3/4, -x+1/4, -1
mz,-my,-mx
 ``` 0 0 1 1/2 0 -1 0 3/4 -1 0 0 1/4``` '
-4- 3/8,y,-1/8 3/8,3/8,-1/8 -1 { -4'-010 | 1/2 3/4 1/4 }
185 y+1/2, -x+3/4, -z+1/4, -1
my,-mx,-mz
 ``` 0 1 0 1/2 -1 0 0 3/4 0 0 -1 1/4``` '
-4+ 5/8,1/8,z 5/8,1/8,1/8 -1 { -4'+001 | 1/2 3/4 1/4 }
186 -y+3/4, x+1/2, -z+1/4, -1
-my,mx,-mz
 ``` 0 -1 0 3/4 1 0 0 1/2 0 0 -1 1/4``` '
-4- 1/8,5/8,z 1/8,5/8,1/8 -1 { -4'-001 | 3/4 1/2 1/4 }
187 -y+3/4, -x+3/4, z, -1
-my,-mx,mz
 ``` 0 -1 0 3/4 -1 0 0 3/4 0 0 1 0``` '
m x+3/4,-x,z -1 { m'110 | 3/4 3/4 0 }
188 y+1/2, x+1/2, z, -1
my,mx,mz
 ``` 0 1 0 1/2 1 0 0 1/2 0 0 1 0``` '
g (1/2,1/2,0) x,x,z -1 { m'1-10 | 1/2 1/2 0 }
189 x+1/2, -z+3/4, -y+1/4, -1
mx,-mz,-my
 ``` 1 0 0 1/2 0 0 -1 3/4 0 -1 0 1/4``` '
g (1/2,1/4,-1/4) x,y+1/2,-y -1 { m'011 | 1/2 3/4 1/4 }
190 x+1/2, z+1/2, y, -1
mx,mz,my
 ``` 1 0 0 1/2 0 0 1 1/2 0 1 0 0``` '
g (1/2,1/4,1/4) x,y+1/4,y -1 { m'01-1 | 1/2 1/2 0 }
191 -z+3/4, y+1/2, -x+1/4, -1
-mz,my,-mx
 ``` 0 0 -1 3/4 0 1 0 1/2 -1 0 0 1/4``` '
g (1/4,1/2,-1/4) -x+1/2,y,x -1 { m'101 | 3/4 1/2 1/4 }
192 z+1/2, y+1/2, x, -1
mz,my,mx
 ``` 0 0 1 1/2 0 1 0 1/2 1 0 0 0``` '
g (1/4,1/2,1/4) x+1/4,y,x -1 { m'-101 | 1/2 1/2 0 }

Go to the list of the Wyckoff Positions of the Group Fd-3m' (#227.131)
Go to the Systematic Absences for the Group Fd-3m' (#227.131)

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