| 1 | #1220 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×#67 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×Dic5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #1204 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #1203 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #1200 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | D3×Dic5 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #711 | — | 3 | 1 | no | maximal, Hall |
| 9 | C22×C3×C5 | C22 | 1 | 1 | yes | characteristic |
| 10 | C2×D15 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×C5×D3 | C22 | 1 | 1 | yes | characteristic |
| 12 | Dic15 | C22 | 1 | 1 | yes | characteristic |
| 13 | C3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 14 | C3×Dic5 | C22 | 1 | 1 | yes | characteristic |
| 15 | C5×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 16 | #235 | — | 5 | 1 | no | maximal, Hall |
| 17 | C5×D4 | — | 3 | 1 | no | — |
| 18 | C22⋊D5 | — | 3 | 1 | no | — |
| 19 | C22⋊D5 | — | 3 | 1 | no | — |
| 20 | C2×Dic5 | — | 3 | 1 | no | — |
| 21 | C2×Dic5 | D3 | 1 | 1 | yes | characteristic, complemented |
| 22 | C4×D5 | — | 3 | 1 | no | — |
| 23 | Dic10 | — | 3 | 1 | no | — |
| 24 | C2×C3×C5 | — | 2 | 1 | no | — |
| 25 | C2×C3×C5 | C23 | 1 | 1 | yes | characteristic |
| 26 | D15 | — | 2 | 1 | no | — |
| 27 | C5×D3 | — | 2 | 1 | no | — |
| 28 | C2×C3×C4 | — | 5 | 1 | no | — |
| 29 | #67 | — | 5 | 1 | no | — |
| 30 | #67 | D5 | 1 | 1 | yes | characteristic, complemented |
| 31 | D12 | — | 5 | 1 | no | — |
| 32 | C4×D3 | — | 5 | 1 | no | — |
| 33 | C4×D3 | — | 5 | 1 | no | — |
| 34 | Dic6 | — | 5 | 1 | no | — |
| 35 | C22×C5 | — | 3 | 1 | no | — |
| 36 | C22×C5 | C2×D3 | 1 | 1 | yes | characteristic |
| 37 | C2×D5 | — | 3 | 1 | no | — |
| 38 | C4×C5 | — | 3 | 1 | no | — |
| 39 | Dic5 | — | 3 | 1 | no | — |
| 40 | Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 41 | Dic5 | C2×D3 | 1 | 1 | yes | characteristic |
| 42 | #41 | — | 15 | 1 | no | Sylow |
| 43 | C3×C5 | #41 | 1 | 1 | yes | characteristic, complemented, Hall |
| 44 | C22×C3 | C2×D5 | 1 | 1 | yes | characteristic |
| 45 | C2×D3 | — | 5 | 1 | no | — |
| 46 | C2×D3 | C2×D5 | 1 | 1 | yes | characteristic |
| 47 | C3×C4 | — | 5 | 1 | no | — |
| 48 | C3×C4 | — | 5 | 1 | no | — |
| 49 | Dic3 | — | 5 | 1 | no | — |
| 50 | Dic3 | C2×D5 | 1 | 1 | yes | characteristic |
| 51 | C2×C5 | — | 2 | 1 | no | — |
| 52 | C2×C5 | — | 6 | 1 | no | — |
| 53 | C2×C5 | C22×D3 | 1 | 1 | yes | characteristic |
| 54 | D5 | — | 6 | 1 | no | — |
| 55 | Q8 | — | 15 | 1 | no | — |
| 56 | D4 | — | 3 | 1 | no | — |
| 57 | D4 | — | 15 | 1 | no | — |
| 58 | D4 | — | 15 | 1 | no | — |
| 59 | C2×C4 | — | 5 | 1 | no | — |
| 60 | C2×C4 | — | 15 | 1 | no | — |
| 61 | C2×C4 | — | 15 | 1 | no | — |
| 62 | C2×C3 | — | 2 | 1 | no | — |
| 63 | C2×C3 | C22×D5 | 1 | 1 | yes | characteristic |
| 64 | D3 | — | 2 | 1 | no | — |
| 65 | D3 | — | 10 | 1 | no | — |
| 66 | C5 | #235 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 67 | C22 | — | 3 | 1 | no | — |
| 68 | C22 | — | 15 | 1 | no | — |
| 69 | C22 | D3×D5 | 1 | 1 | yes | characteristic |
| 70 | C4 | — | 3 | 1 | no | — |
| 71 | C4 | — | 5 | 1 | no | — |
| 72 | C4 | — | 5 | 1 | no | — |
| 73 | C4 | — | 15 | 1 | no | — |
| 74 | C3 | #711 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 75 | C2 | — | 2 | 1 | no | — |
| 76 | C2 | — | 6 | 1 | no | — |
| 77 | C2 | — | 30 | 1 | no | — |
| 78 | C2 | C2×D3×D5 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta