| 1 | C3×D72 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×Dic36 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C9×C16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#800 | — | 3 | 1 | no | maximal |
| 5 | #63359 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 6 | C3×D36 | — | 2 | 1 | no | — |
| 7 | C3×Dic18 | — | 2 | 1 | no | — |
| 8 | C3×C8×C9 | C22 | 1 | 1 | yes | characteristic |
| 9 | C3×Dic12 | — | 3 | 1 | no | — |
| 10 | C3×D24 | — | 3 | 1 | no | — |
| 11 | C32×C16 | D3 | 1 | 1 | yes | characteristic |
| 12 | D72 | C2×C3 | 1 | 1 | yes | characteristic |
| 13 | Dic36 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 14 | C9×C16 | — | 2 | 1 | no | — |
| 15 | C9×C16 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 16 | C2×C3×D9 | — | 4 | 1 | no | — |
| 17 | C3×C4×C9 | D4 | 1 | 1 | yes | characteristic |
| 18 | C3×Dic9 | — | 4 | 1 | no | — |
| 19 | C3×SD32 | — | 9 | 1 | no | — |
| 20 | #800 | — | 3 | 1 | no | — |
| 21 | C3×D12 | — | 6 | 1 | no | — |
| 22 | C3×Dic6 | — | 6 | 1 | no | — |
| 23 | C32×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 24 | D36 | — | 2 | 1 | no | — |
| 25 | Dic18 | — | 2 | 1 | no | — |
| 26 | C8×C9 | — | 2 | 1 | no | — |
| 27 | C8×C9 | C22×C3 | 1 | 1 | yes | characteristic |
| 28 | C2×C3×C9 | D8 | 1 | 1 | yes | characteristic |
| 29 | C3×D9 | — | 8 | 1 | no | — |
| 30 | C3×Q16 | — | 9 | 1 | no | — |
| 31 | C3×D8 | — | 9 | 1 | no | — |
| 32 | Dic12 | — | 3 | 1 | no | — |
| 33 | D24 | — | 3 | 1 | no | — |
| 34 | C3×C16 | — | 2 | 1 | no | — |
| 35 | C3×C16 | D9 | 1 | 1 | yes | characteristic, complemented |
| 36 | C3×C16 | C3×D3 | 1 | 1 | yes | characteristic |
| 37 | C2×C3×D3 | — | 12 | 1 | no | — |
| 38 | C32×C4 | D12 | 1 | 1 | yes | characteristic |
| 39 | C3×Dic3 | — | 12 | 1 | no | — |
| 40 | C2×D9 | — | 4 | 1 | no | — |
| 41 | C4×C9 | — | 2 | 1 | no | — |
| 42 | C4×C9 | C3×D4 | 1 | 1 | yes | characteristic |
| 43 | Dic9 | — | 4 | 1 | no | — |
| 44 | SD32 | — | 9 | 1 | no | Sylow |
| 45 | C3×C9 | SD32 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 46 | C3×Q8 | — | 18 | 1 | no | — |
| 47 | C3×D4 | — | 18 | 1 | no | — |
| 48 | D12 | — | 6 | 1 | no | — |
| 49 | Dic6 | — | 6 | 1 | no | — |
| 50 | C3×C8 | — | 2 | 1 | no | — |
| 51 | C3×C8 | C2×D9 | 1 | 1 | yes | characteristic |
| 52 | C3×C8 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 53 | C2×C32 | D24 | 1 | 1 | yes | characteristic |
| 54 | C3×D3 | — | 24 | 1 | no | — |
| 55 | C2×C9 | — | 2 | 1 | no | — |
| 56 | C2×C9 | C3×D8 | 1 | 1 | yes | characteristic |
| 57 | D9 | — | 8 | 1 | no | — |
| 58 | Q16 | — | 9 | 1 | no | — |
| 59 | D8 | — | 9 | 1 | no | — |
| 60 | C16 | C3×D9 | 1 | 1 | yes | characteristic, complemented |
| 61 | C22×C3 | — | 36 | 1 | no | — |
| 62 | C2×D3 | — | 12 | 1 | no | — |
| 63 | C3×C4 | — | 2 | 1 | no | — |
| 64 | C3×C4 | — | 36 | 1 | no | — |
| 65 | C3×C4 | D36 | 1 | 1 | yes | characteristic |
| 66 | C3×C4 | C3×D12 | 1 | 1 | yes | characteristic |
| 67 | Dic3 | — | 12 | 1 | no | — |
| 68 | C32 | #800 | 1 | 1 | yes | characteristic |
| 69 | C9 | — | 2 | 1 | no | — |
| 70 | C9 | C3×SD32 | 1 | 1 | yes | characteristic, complemented |
| 71 | Q8 | — | 18 | 1 | no | — |
| 72 | D4 | — | 18 | 1 | no | — |
| 73 | C8 | C2×C3×D9 | 1 | 1 | yes | characteristic |
| 74 | C2×C3 | — | 2 | 1 | no | — |
| 75 | C2×C3 | — | 72 | 1 | no | — |
| 76 | C2×C3 | D72 | 1 | 1 | yes | characteristic |
| 77 | C2×C3 | C3×D24 | 1 | 1 | yes | characteristic |
| 78 | D3 | — | 24 | 1 | no | — |
| 79 | C22 | — | 36 | 1 | no | — |
| 80 | C4 | — | 36 | 1 | no | — |
| 81 | C4 | C3×D36 | 1 | 1 | yes | characteristic |
| 82 | C3 | — | 2 | 1 | no | — |
| 83 | C3 | #63359 | 1 | 1 | yes | characteristic, direct product factor |
| 84 | C3 | C3×#800 | 1 | 1 | yes | characteristic |
| 85 | C2 | — | 72 | 1 | no | — |
| 86 | C2 | C3×D72 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta