| 1 |
G ≤ Sym(11) |
4-trans., on cosets of A6.23 (1st max.) |
| 2 |
G ≤ Sym(12) |
3-trans., on cosets of L2(11) (2nd max.) |
| 3 |
G ≤ Sym(55) |
rank 3, on cosets of 32:Q8.2 (3rd max.) |
| 4 |
G ≤ Sym(66) |
rank 4, on cosets of S5 (4th max.) |
| 5 |
G ≤ Sym(165) |
rank 8, on cosets of 2.S4 (5th max.) |
| 6 |
G ≤ GL(10,2) |
character 10a |
| 7 |
G ≤ GL(32,2) |
character 16ab |
| 8 |
G ≤ GL(44,2) |
character 44a |
| 9 |
G ≤ GL(5a,3) |
character 5a |
| 10 |
G ≤ GL(5b,3) |
character 5b |
| 11 |
G ≤ GL(10a,3) |
character 10a |
| 12 |
G ≤ GL(10b,3) |
character 10b |
| 13 |
G ≤ GL(10c,3) |
character 10c |
| 14 |
G ≤ GL(24,3) |
character 24a |
| 15 |
G ≤ GL(45,3) |
character 45a |
| 16 |
G ≤ GL(16a,4) |
character 16a |
| 17 |
G ≤ GL(16b,4) |
character 16b |
| 18 |
G ≤ GL(10a,5) |
character 10a |
| 19 |
G ≤ GL(11,5) |
character 11a |
| 20 |
G ≤ GL(16a,5) |
character 16a |
| 21 |
G ≤ GL(16b,5) |
character 16b |
| 22 |
G ≤ GL(20,5) |
character 10bc |
| 23 |
G ≤ GL(45,5) |
character 45a |
| 24 |
G ≤ GL(55,5) |
character 55a |
| 25 |
G ≤ GL(9,11) |
character 9a |
| 26 |
G ≤ GL(10a,11) |
character 10a |
| 27 |
G ≤ GL(10b,11) |
character 10b |
| 28 |
G ≤ GL(11,11) |
character 11a |
| 29 |
G ≤ GL(16,11) |
character 16a |
| 30 |
G ≤ GL(44,11) |
character 44a |
| 31 |
G ≤ GL(55,11) |
character 55a |
| 32 |
G ≤ GL(10b,25) |
character 10b |
| 33 |
G ≤ GL(10c,25) |
character 10c |
| 34 |
G ≤ GL(10a,ℤ) |
character 10a |
| 35 |
G ≤ GL(11,ℤ) |
character 11a |
| 36 |
G ≤ GL(20,ℤ) |
character 10bc |
| 37 |
G ≤ GL(32,ℤ) |
character 16ab |
| 38 |
G ≤ GL(44,ℤ) |
character 44a |
| 39 |
G ≤ GL(45,ℤ) |
character 45a |
| 40 |
G ≤ GL(55,ℤ) |
character 55a |
| 41 |
G ≤ GL(10b,Field([Sqrt(-2)])) |
character 10b |
| 42 |
G ≤ GL(10c,Field([Sqrt(-2)])) |
character 10c |