| 1 | G ≤ Sym(30) | 2-trans., on cosets of 29:14 (1st max.) |
| 2 | G ≤ GL(28a,3) | character 28a |
| 3 | G ≤ GL(14a,4) | character 14a |
| 4 | G ≤ GL(14b,4) | character 14b |
| 5 | G ≤ GL(28b,5) | character 28b |
| 6 | G ≤ GL(29,7) | character 29a |
| 7 | G ≤ GL(3,29) | character 3a |
| 8 | G ≤ GL(5,29) | character 5a |
| 9 | G ≤ GL(7,29) | character 7a |
| 10 | G ≤ GL(9,29) | character 9a |
| 11 | G ≤ GL(11,29) | character 11a |
| 12 | G ≤ GL(13,29) | character 13a |
| 13 | G ≤ GL(15,29) | character 15a |
| 14 | G ≤ GL(17,29) | character 17a |
| 15 | G ≤ GL(19,29) | character 19a |
| 16 | G ≤ GL(21,29) | character 21a |
| 17 | G ≤ GL(23,29) | character 23a |
| 18 | G ≤ GL(25,29) | character 25a |
| 19 | G ≤ GL(27,29) | character 27a |
| 20 | G ≤ GL(29,29) | character 29a |
| 21 | G ≤ GL(28a,ℤ) | character 28a |
| 22 | G ≤ GL(29,ℤ) | character 29a |
| 23 | G ≤ GL(30g,ℤ) | character 15ab |
| 24 | G ≤ GL(56,ℤ) | character 28bc |
| 25 | G ≤ GL(112,ℤ) | character 28defg |
| 26 | G ≤ GL(30a,Field([E(7)])) | character 30a |
| 27 | G ≤ GL(30b,Field([E(7)])) | character 30b |
| 28 | G ≤ GL(30c,Field([E(7)])) | character 30c |
| 29 | G ≤ GL(30d,Field([E(7)])) | character 30d |
| 30 | G ≤ GL(30e,Field([E(7)])) | character 30e |
| 31 | G ≤ GL(30f,Field([E(7)])) | character 30f |
File created automatically by GAP on 22-Apr-2022.