| 1 | G ≤ Sym(27) | rank 3, on cosets of 24:A5 (1st max.) |
| 2 | G ≤ Sym(36) | rank 3, on cosets of S6 (2nd max.) |
| 3 | G ≤ Sym(40a) | rank 3, on cosets of 3(1+2)+:2A4 (3rd max.) |
| 4 | G ≤ Sym(40b) | rank 3, on cosets of 33:S4 (4th max.) |
| 5 | G ≤ Sym(45) | rank 3, on cosets of 2.(A4 × A4).2 (5th max.) |
| 6 | G ≤ GL(5,3) | character 5a |
| 7 | G ≤ GL(10,3) | character 10a |
| 8 | G ≤ GL(14,3) | character 14a |
| 9 | G ≤ GL(25,3) | character 25a |
| 10 | G ≤ GL(81,3) | character 81a |
| 11 | G ≤ GL(4a,4) | character 4a |
| 12 | G ≤ GL(6,5) | character 6a |
| 13 | G ≤ GL(5a,25) | character 5a |
| 14 | G ≤ GL(10b,25) | character 10b |
| 15 | G ≤ GL(6,ℤ) | character 6a |
| 16 | G ≤ GL(15a,ℤ) | character 15a |
| 17 | G ≤ GL(15b,ℤ) | character 15b |
| 18 | G ≤ GL(20,ℤ) | character 20a |
| 19 | G ≤ GL(24,ℤ) | character 24a |
| 20 | G ≤ GL(30a,ℤ) | character 30a |
| 21 | G ≤ GL(60,ℤ) | character 60a |
| 22 | G ≤ GL(64,ℤ) | character 64a |
| 23 | G ≤ GL(80,ℤ) | character 40ab |
| 24 | G ≤ GL(81,ℤ) | character 81a |
| 25 | G ≤ GL(5a,Field([Sqrt(-3)])) | character 5a |
| 26 | G ≤ GL(5b,Field([Sqrt(-3)])) | character 5b |
| 27 | G ≤ GL(10,Field([Sqrt(-3)])) | character 10a |
| 28 | G ≤ GL(10a,Field([Sqrt(-3)])) | character 10a |
| 29 | G ≤ GL(10b,Field([Sqrt(-3)])) | character 10b |
| 30 | G ≤ GL(30b,Field([Sqrt(-3)])) | character 30b |
| 31 | G ≤ GL(30c,Field([Sqrt(-3)])) | character 30c |
| 32 | G ≤ GL(40a,Field([Sqrt(-3)])) | character 40a |
| 33 | G ≤ GL(40b,Field([Sqrt(-3)])) | character 40b |
| 34 | G ≤ GL(45a,Field([Sqrt(-3)])) | character 45a |
| 35 | G ≤ GL(45b,Field([Sqrt(-3)])) | character 45b |
File created automatically by GAP on 22-Jun-2011.