| 1 |
G ≤ Sym(7) |
7-trans., on cosets of S6 (2nd max.) |
| 2 |
G ≤ Sym(21) |
rank 3, on cosets of S5 × 2 (3rd max.) |
| 3 |
G ≤ Sym(30) |
rank 4, on cosets of L2(7) < A7 |
| 4 |
G ≤ Sym(35) |
rank 4, on cosets of S4 × S3 (4th max.) |
| 5 |
G ≤ Sym(120) |
rank 7, on cosets of 7:6 (5th max.) |
| 6 |
G ≤ GL(6,2) |
|
| 7 |
G ≤ GL(8,2) |
|
| 8 |
G ≤ GL(14,2) |
|
| 9 |
G ≤ GL(20,2) |
|
| 10 |
G ≤ GL(6a,3) |
|
| 11 |
G ≤ GL(13a,3) |
|
| 12 |
G ≤ GL(15a,3) |
|
| 13 |
G ≤ GL(20,3) |
|
| 14 |
G ≤ GL(6a,5) |
|
| 15 |
G ≤ GL(8a,5) |
|
| 16 |
G ≤ GL(13a,5) |
|
| 17 |
G ≤ GL(15a,5) |
|
| 18 |
G ≤ GL(20,5) |
|
| 19 |
G ≤ GL(35a,5) |
|
| 20 |
G ≤ GL(5a,7) |
|
| 21 |
G ≤ GL(10a,7) |
|
| 22 |
G ≤ GL(14a,7) |
|
| 23 |
G ≤ GL(14b,7) |
|
| 24 |
G ≤ GL(21a,7) |
|
| 25 |
G ≤ GL(35a,7) |
|