| 1 |
G ≤ Sym(14) |
12-trans., on cosets of A13 (1st max.) |
| 2 |
G ≤ Sym(91) |
rank 3, on cosets of S12 (2nd max.) |
| 3 |
G ≤ Sym(364) |
rank 4, on cosets of (A11 × 3):2 (3rd max.) |
| 4 |
G ≤ Sym(1001) |
rank 5, on cosets of (A10 × A4):2 (4th max.) |
| 5 |
G ≤ Sym(1716) |
rank 4, on cosets of (A7 × A7):22 (5th max.) |
| 6 |
G ≤ Sym(2002) |
rank 6, on cosets of (A9 × A5):2 (6th max.) |
| 7 |
G ≤ Sym(3003) |
rank 7, on cosets of (A8 × A6):2 (7th max.) |
| 8 |
G ≤ GL(12,2) |
|
| 9 |
G ≤ GL(64a,2) |
|
| 10 |
G ≤ GL(64b,2) |
|
| 11 |
G ≤ GL(13,3) |
|
| 12 |
G ≤ GL(64,3) |
|
| 13 |
G ≤ GL(78,3) |
|
| 14 |
G ≤ GL(13,5) |
|
| 15 |
G ≤ GL(77,5) |
|
| 16 |
G ≤ GL(78,5) |
|
| 17 |
G ≤ GL(12,7) |
|
| 18 |
G ≤ GL(66,7) |
|
| 19 |
G ≤ GL(77,7) |
|
| 20 |
G ≤ GL(13,11) |
|
| 21 |
G ≤ GL(77,11) |
|
| 22 |
G ≤ GL(78,11) |
|
| 23 |
G ≤ GL(13,13) |
|
| 24 |
G ≤ GL(76,13) |
|
| 25 |
G ≤ GL(78,13) |
|
| 26 |
G ≤ GL(13,ℤ) |
|
| 27 |
G ≤ GL(77,ℤ) |
|
| 28 |
G ≤ GL(78,ℤ) |
|