| 1 | G ≤ Sym(254) | rank 4, on cosets of 26:L6(2) < L7(2) |
| 2 | G ≤ GL(14,2) | |
| 3 | G ≤ GL(42,2) | |
| 4 | G ≤ GL(48,2) | |
| 5 | G ≤ GL(70,2) | |
| 6 | G ≤ GL(224,2) | |
| 7 | G ≤ GL(266,2) | |
| 8 | G ≤ GL(350,2) | |
| 9 | G ≤ GL(392,2) | |
| 10 | G ≤ GL(448,2) | |
| 11 | G ≤ GL(736,2) | |
| 12 | G ≤ GL(896,2) | |
| 13 | G ≤ GL(938,2) |
| 1 | L7(2) |
File created automatically by GAP on 22-Apr-2022.