Physically Irreducible Representations of the 230 Crystallographic Space Groups
2011 Version
Harold T. Stokes and Branton J. Campbell, 2013
1 1 "P1 " "GM1 " 1 1 1 1 1
0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
2 1 "P1 " "Z1 " 1 1 1 1 1
0 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
3 1 "P1 " "X1 " 1 1 1 1 1
1 0 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
4 1 "P1 " "U1 " 1 1 1 1 1
1 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
5 1 "P1 " "V1 " 1 1 1 1 1
1 1 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
6 1 "P1 " "R1 " 1 1 1 1 1
1 1 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
7 1 "P1 " "Y1 " 1 1 1 1 1
0 1 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
8 1 "P1 " "T1 " 1 1 1 1 1
0 1 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
9 1 "P1 " "GP1GQ1 " 2 3 1 1 1
0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
0 0 0 1
1 0 0 1
10 2 "P-1 " "GM1+ " 1 1 1 1 2
0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
1
11 2 "P-1 " "GM1- " 1 1 1 1 2
0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
-1
12 2 "P-1 " "Z1+ " 1 1 1 1 2
0 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
1
13 2 "P-1 " "Z1- " 1 1 1 1 2
0 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
-1
14 2 "P-1 " "X1+ " 1 1 1 1 2
1 0 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
1
15 2 "P-1 " "X1- " 1 1 1 1 2
1 0 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
-1
16 2 "P-1 " "U1+ " 1 1 1 1 2
1 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
1
17 2 "P-1 " "U1- " 1 1 1 1 2
1 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
-1
18 2 "P-1 " "V1+ " 1 1 1 1 2
1 1 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
1
19 2 "P-1 " "V1- " 1 1 1 1 2
1 1 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
-1
20 2 "P-1 " "R1+ " 1 1 1 1 2
1 1 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
1
21 2 "P-1 " "R1- " 1 1 1 1 2
1 1 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
-1
22 2 "P-1 " "Y1+ " 1 1 1 1 2
0 1 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
1
23 2 "P-1 " "Y1- " 1 1 1 1 2
0 1 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
-1
24 2 "P-1 " "T1+ " 1 1 1 1 2
0 1 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
1
25 2 "P-1 " "T1- " 1 1 1 1 2
0 1 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
-1
26 2 "P-1 " "GP1 " 2 1 2 1 2
0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
0 0 0 1
1 0 0 1
-1 0 0 0 0 -1 0 0 0 0 -1 0 0 0 0 1
0 0 0 1
1 0 0 -1
27 3 "P2 " "GM1 " 1 1 1 1 2
0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
1
28 3 "P2 " "GM2 " 1 1 1 1 2
0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
-1
29 3 "P2 " "LD1LE1 " 2 3 1 1 2
0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
0 0 0 1
1 0 0 1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
0 0 0 1
1 0 0 1
30 3 "P2 " "LD2LE2 " 2 3 1 1 2
0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
0 0 0 1
1 0 0 1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
0 0 0 1
-1 0 0 -1
31 3 "P2 " "A1 " 1 1 1 1 2
1 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
1
32 3 "P2 " "A2 " 1 1 1 1 2
1 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
-1
33 3 "P2 " "B1 " 1 1 1 1 2
0 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
1
34 3 "P2 " "B2 " 1 1 1 1 2
0 0 1 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
-1
35 3 "P2 " "C1 " 1 1 1 1 2
1 1 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1
1
-1 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 1
1
36 3 "P2 " "C2 " 1 1 1 1 2
1 1 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 0 0 0 1 0 0 0
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