| 1 |
G ≤ Sym(6156) |
rank 8, on cosets of L2(16).2 (1st max.) |
| 2 |
G ≤ Sym(14688a) |
rank 14, on cosets of L2(19) (2nd max.) |
| 3 |
G ≤ Sym(14688b) |
rank 14, on cosets of L2(19) (3rd max.) |
| 4 |
G ≤ Sym(17442) |
rank 19, on cosets of 24:(3 × A5) (4th max.) |
| 5 |
G ≤ Sym(20520) |
rank 22, on cosets of L2(17) (5th max.) |
| 6 |
G ≤ Sym(23256) |
rank 28, on cosets of (3 × A6):22 (6th max.) |
| 7 |
G ≤ Sym(25840) |
rank 20, on cosets of 32.31+2+:8 (7th max.) |
| 8 |
G ≤ Sym(26163) |
rank 27, on cosets of 21+4−:A5 (8th max.) |
| 9 |
G ≤ Sym(43605) |
rank 57, on cosets of 22+4.(3 × S3) (9th max.) |
| 10 |
G ≤ GL(80,2) |
character 80a |
| 11 |
G ≤ GL(244,2) |
character 244a |
| 12 |
G ≤ GL(248,2) |
character 80a+84ab |
| 13 |
G ≤ GL(966,2) |
character 966a |
| 14 |
G ≤ GL(324,3) |
character 324a |
| 15 |
G ≤ GL(934,3) |
character 934a |
| 16 |
G ≤ GL(78b,4) |
character 78b |
| 17 |
G ≤ GL(84a,4) |
character 84a |
| 18 |
G ≤ GL(322a,4) |
character 322a |
| 19 |
G ≤ GL(85a,5) |
character 85a |
| 20 |
G ≤ GL(323,5) |
character 323a |
| 21 |
G ≤ GL(646,5) |
character 646a |
| 22 |
G ≤ GL(816,5) |
character 816a |
| 23 |
G ≤ GL(18b,9) |
character 18b |
| 24 |
G ≤ GL(84b,9) |
character 84b |
| 25 |
G ≤ GL(153b,9) |
character 153b |
| 26 |
G ≤ GL(85b,17) |
character 85b |
| 27 |
G ≤ GL(324,17) |
character 324a |
| 28 |
G ≤ GL(379,17) |
character 379a |
| 29 |
G ≤ GL(646c,17) |
character 323ab |
| 30 |
G ≤ GL(761,17) |
character 761a |
| 31 |
G ≤ GL(816,17) |
character 816a |
| 32 |
G ≤ GL(836,17) |
character 836a |
| 33 |
G ≤ GL(1292,17) |
character 646ab |
| 34 |
G ≤ GL(85,19) |
character 85a |
| 35 |
G ≤ GL(110,19) |
|
| 36 |
G ≤ GL(214,19) |
|
| 37 |
G ≤ GL(323a,19) |
character 323a |
| 38 |
G ≤ GL(646a,19) |
character 646a |
| 39 |
G ≤ GL(706,19) |
|
| 40 |
G ≤ GL(919,19) |
character 919a |
| 41 |
G ≤ GL(1001,19) |
character 1001a |
| 42 |
G ≤ GL(170,ℤ) |
character 85ab |