| 1 | C5×D72 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×Dic36 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×C9×C16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#800 | — | 3 | 1 | no | maximal |
| 5 | C5×D36 | — | 2 | 1 | no | — |
| 6 | C5×Dic18 | — | 2 | 1 | no | — |
| 7 | C5×C8×C9 | C22 | 1 | 1 | yes | characteristic |
| 8 | #63359 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 9 | C5×Dic12 | — | 3 | 1 | no | — |
| 10 | C5×D24 | — | 3 | 1 | no | — |
| 11 | C3×C5×C16 | D3 | 1 | 1 | yes | characteristic |
| 12 | C2×C5×D9 | — | 4 | 1 | no | — |
| 13 | C4×C5×C9 | D4 | 1 | 1 | yes | characteristic |
| 14 | C5×Dic9 | — | 4 | 1 | no | — |
| 15 | C5×SD32 | — | 9 | 1 | no | Hall |
| 16 | D72 | C2×C5 | 1 | 1 | yes | characteristic |
| 17 | Dic36 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 18 | C9×C16 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 19 | C5×D12 | — | 6 | 1 | no | — |
| 20 | C5×Dic6 | — | 6 | 1 | no | — |
| 21 | C3×C5×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 22 | #800 | — | 3 | 1 | no | — |
| 23 | C2×C5×C9 | D8 | 1 | 1 | yes | characteristic |
| 24 | C5×D9 | — | 8 | 1 | no | — |
| 25 | C5×Q16 | — | 9 | 1 | no | — |
| 26 | C5×D8 | — | 9 | 1 | no | — |
| 27 | C5×C16 | D9 | 1 | 1 | yes | characteristic, complemented |
| 28 | D36 | — | 2 | 1 | no | — |
| 29 | Dic18 | — | 2 | 1 | no | — |
| 30 | C8×C9 | C22×C5 | 1 | 1 | yes | characteristic |
| 31 | C2×C5×D3 | — | 12 | 1 | no | — |
| 32 | C3×C4×C5 | D12 | 1 | 1 | yes | characteristic |
| 33 | C5×Dic3 | — | 12 | 1 | no | — |
| 34 | Dic12 | — | 3 | 1 | no | — |
| 35 | D24 | — | 3 | 1 | no | — |
| 36 | C3×C16 | C5×D3 | 1 | 1 | yes | characteristic |
| 37 | C5×C9 | SD32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 38 | C5×Q8 | — | 18 | 1 | no | — |
| 39 | C5×D4 | — | 18 | 1 | no | — |
| 40 | C5×C8 | C2×D9 | 1 | 1 | yes | characteristic |
| 41 | C2×D9 | — | 4 | 1 | no | — |
| 42 | C4×C9 | C5×D4 | 1 | 1 | yes | characteristic |
| 43 | Dic9 | — | 4 | 1 | no | — |
| 44 | SD32 | — | 9 | 1 | no | Sylow |
| 45 | C2×C3×C5 | D24 | 1 | 1 | yes | characteristic |
| 46 | C5×D3 | — | 24 | 1 | no | — |
| 47 | D12 | — | 6 | 1 | no | — |
| 48 | Dic6 | — | 6 | 1 | no | — |
| 49 | C3×C8 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 50 | C22×C5 | — | 36 | 1 | no | — |
| 51 | C4×C5 | — | 36 | 1 | no | — |
| 52 | C4×C5 | D36 | 1 | 1 | yes | characteristic |
| 53 | C2×C9 | C5×D8 | 1 | 1 | yes | characteristic |
| 54 | D9 | — | 8 | 1 | no | — |
| 55 | Q16 | — | 9 | 1 | no | — |
| 56 | D8 | — | 9 | 1 | no | — |
| 57 | C16 | C5×D9 | 1 | 1 | yes | characteristic, complemented |
| 58 | C3×C5 | #800 | 1 | 1 | yes | characteristic |
| 59 | C2×D3 | — | 12 | 1 | no | — |
| 60 | C3×C4 | C5×D12 | 1 | 1 | yes | characteristic |
| 61 | Dic3 | — | 12 | 1 | no | — |
| 62 | C2×C5 | — | 72 | 1 | no | — |
| 63 | C2×C5 | D72 | 1 | 1 | yes | characteristic |
| 64 | C9 | C5×SD32 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 65 | Q8 | — | 18 | 1 | no | — |
| 66 | D4 | — | 18 | 1 | no | — |
| 67 | C8 | C2×C5×D9 | 1 | 1 | yes | characteristic |
| 68 | C2×C3 | C5×D24 | 1 | 1 | yes | characteristic |
| 69 | D3 | — | 24 | 1 | no | — |
| 70 | C5 | #63359 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 71 | C22 | — | 36 | 1 | no | — |
| 72 | C4 | — | 36 | 1 | no | — |
| 73 | C4 | C5×D36 | 1 | 1 | yes | characteristic |
| 74 | C3 | C5×#800 | 1 | 1 | yes | characteristic |
| 75 | C2 | — | 72 | 1 | no | — |
| 76 | C2 | C5×D72 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta