AtlasRep Info for Th
-
-> ATLAS page for Th
-
-> Overview of Groups
-
Representations for G = Th: (all refer to std. generators 1)
-
| 1 |
G ≤ GL(248,2) |
|
| 2 |
G ≤ GL(248,3) |
|
| 3 |
G ≤ GL(3875,3) |
|
| 4 |
G ≤ GL(248,5) |
|
| 5 |
G ≤ GL(248,7) |
|
| 6 |
G ≤ GL(248,13) |
character 248a |
| 7 |
G ≤ GL(248,19) |
|
| 8 |
G ≤ GL(248,31) |
|
-
Programs for G = Th: (all refer to std. generators 1)
-
-
repr. cyc. subg.
-
std. gen. checker
-
std. gen. finder
-
maxes (all 16):
| 1 |
3D4(2).3 |
| 2 |
25.L5(2) |
| 3 |
21+8+.A9 |
| 4 |
U3(8).6 |
| 5 |
(3 × G2(3)):2 |
| 6 |
[39].2S4 |
| 7 |
32.[37].2S4 |
| 8 |
35:2S6 |
| 9 |
51+2:4S4 |
| 10 |
52:4S5 |
| 11 |
72:(3 × 2S4) |
| 12 |
L2(19).2 |
| 13 |
L3(3) |
| 14 |
A6.23 |
| 15 |
31:15 |
| 16 |
A5.2 |