| 1 |
G ≤ Sym(27) |
rank 3, on cosets of 24:A5 (1st max.) |
| 2 |
G ≤ Sym(36) |
rank 3, on cosets of S6 (2nd max.) |
| 3 |
G ≤ Sym(40a) |
rank 3, on cosets of 3(1+2)+:2A4 (3rd max.) |
| 4 |
G ≤ Sym(40b) |
rank 3, on cosets of 33:S4 (4th max.) |
| 5 |
G ≤ Sym(45) |
rank 3, on cosets of 2.(A4 × A4).2 (5th max.) |
| 6 |
G ≤ GL(5,3) |
character 5a |
| 7 |
G ≤ GL(10,3) |
character 10a |
| 8 |
G ≤ GL(14,3) |
character 14a |
| 9 |
G ≤ GL(25,3) |
character 25a |
| 10 |
G ≤ GL(81,3) |
character 81a |
| 11 |
G ≤ GL(4a,4) |
character 4a |
| 12 |
G ≤ GL(6,5) |
character 6a |
| 13 |
G ≤ GL(5a,25) |
character 5a |
| 14 |
G ≤ GL(10b,25) |
character 10b |
| 15 |
G ≤ GL(6,ℤ) |
character 6a |
| 16 |
G ≤ GL(15a,ℤ) |
character 15a |
| 17 |
G ≤ GL(15b,ℤ) |
character 15b |
| 18 |
G ≤ GL(20,ℤ) |
character 20a |
| 19 |
G ≤ GL(24,ℤ) |
character 24a |
| 20 |
G ≤ GL(30a,ℤ) |
character 30a |
| 21 |
G ≤ GL(60,ℤ) |
character 60a |
| 22 |
G ≤ GL(64,ℤ) |
character 64a |
| 23 |
G ≤ GL(80,ℤ) |
character 40ab |
| 24 |
G ≤ GL(81,ℤ) |
character 81a |
| 25 |
G ≤ GL(5a,Field([Sqrt(-3)])) |
character 5a |
| 26 |
G ≤ GL(5b,Field([Sqrt(-3)])) |
character 5b |
| 27 |
G ≤ GL(10,Field([Sqrt(-3)])) |
character 10a |
| 28 |
G ≤ GL(10a,Field([Sqrt(-3)])) |
character 10a |
| 29 |
G ≤ GL(10b,Field([Sqrt(-3)])) |
character 10b |
| 30 |
G ≤ GL(30b,Field([Sqrt(-3)])) |
character 30b |
| 31 |
G ≤ GL(30c,Field([Sqrt(-3)])) |
character 30c |
| 32 |
G ≤ GL(40a,Field([Sqrt(-3)])) |
character 40a |
| 33 |
G ≤ GL(40b,Field([Sqrt(-3)])) |
character 40b |
| 34 |
G ≤ GL(45a,Field([Sqrt(-3)])) |
character 45a |
| 35 |
G ≤ GL(45b,Field([Sqrt(-3)])) |
character 45b |