| 1 | C3×#627 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#625 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×#622 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #3775 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 5 | C2×C32×D3 | — | 2 | 1 | no | — |
| 6 | C3×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 7 | C32×Dic3 | — | 2 | 1 | no | — |
| 8 | C3×#67 | — | 6 | 1 | no | — |
| 9 | C3×Dic6 | — | 6 | 1 | no | — |
| 10 | #627 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 11 | #625 | C2×C3 | 1 | 1 | yes | characteristic |
| 12 | #622 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 13 | C2×C33 | D4 | 1 | 1 | yes | characteristic |
| 14 | C32×D3 | — | 4 | 1 | no | — |
| 15 | C3×SD16 | — | 9 | 1 | no | maximal |
| 16 | C22×C32 | — | 6 | 1 | no | — |
| 17 | C2×C3×D3 | — | 2 | 1 | no | — |
| 18 | C2×C3×D3 | — | 2 | 1 | no | — |
| 19 | C2×C3×D3 | — | 4 | 1 | no | — |
| 20 | C32×C4 | — | 6 | 1 | no | — |
| 21 | C3⋊Dic3 | C22×C3 | 1 | 1 | yes | characteristic |
| 22 | C3×Dic3 | — | 2 | 1 | no | — |
| 23 | C3×Dic3 | — | 2 | 1 | no | — |
| 24 | C3×Dic3 | — | 4 | 1 | no | — |
| 25 | C3×Dic3 | — | 6 | 1 | no | — |
| 26 | C3×Dic3 | — | 6 | 1 | no | — |
| 27 | C33 | SD16 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 28 | C3×Q8 | — | 9 | 1 | no | — |
| 29 | C3×D4 | — | 9 | 1 | no | — |
| 30 | #67 | — | 6 | 1 | no | — |
| 31 | Dic6 | — | 6 | 1 | no | — |
| 32 | C3×C8 | — | 9 | 1 | no | — |
| 33 | C2×C32 | — | 2 | 1 | no | — |
| 34 | C2×C32 | — | 2 | 1 | no | — |
| 35 | C2×C32 | — | 4 | 1 | no | — |
| 36 | C2×C32 | — | 4 | 1 | no | — |
| 37 | C2×C32 | — | 12 | 1 | no | — |
| 38 | C2×C32 | C3×D4 | 1 | 1 | yes | characteristic |
| 39 | C3×D3 | — | 4 | 1 | no | — |
| 40 | C3×D3 | — | 4 | 2 | no | — |
| 41 | C3×D3 | — | 4 | 1 | no | — |
| 42 | SD16 | — | 9 | 1 | no | Sylow |
| 43 | C22×C3 | — | 6 | 1 | no | — |
| 44 | C22×C3 | — | 6 | 1 | no | — |
| 45 | C22×C3 | — | 12 | 1 | no | — |
| 46 | C2×D3 | — | 2 | 1 | no | — |
| 47 | C3×C4 | — | 6 | 1 | no | — |
| 48 | C3×C4 | — | 6 | 1 | no | — |
| 49 | C3×C4 | — | 9 | 1 | no | — |
| 50 | C3×C4 | — | 12 | 1 | no | — |
| 51 | Dic3 | — | 2 | 1 | no | — |
| 52 | Dic3 | — | 6 | 1 | no | — |
| 53 | Dic3 | — | 6 | 1 | no | — |
| 54 | C32 | — | 2 | 1 | no | — |
| 55 | C32 | — | 2 | 1 | no | — |
| 56 | C32 | — | 4 | 1 | no | — |
| 57 | C32 | — | 4 | 1 | no | — |
| 58 | C32 | C3×SD16 | 1 | 1 | yes | characteristic, complemented |
| 59 | Q8 | — | 9 | 1 | no | — |
| 60 | D4 | — | 9 | 1 | no | — |
| 61 | C8 | — | 9 | 1 | no | — |
| 62 | C2×C3 | — | 2 | 1 | no | — |
| 63 | C2×C3 | — | 2 | 1 | no | — |
| 64 | C2×C3 | — | 4 | 1 | no | — |
| 65 | C2×C3 | — | 4 | 1 | no | — |
| 66 | C2×C3 | — | 12 | 1 | no | — |
| 67 | C2×C3 | — | 12 | 2 | no | — |
| 68 | C2×C3 | — | 12 | 1 | no | — |
| 69 | C2×C3 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 70 | D3 | — | 4 | 1 | no | — |
| 71 | C22 | — | 6 | 1 | no | — |
| 72 | C4 | — | 6 | 1 | no | — |
| 73 | C4 | — | 9 | 1 | no | — |
| 74 | C3 | — | 2 | 1 | no | — |
| 75 | C3 | — | 2 | 1 | no | — |
| 76 | C3 | — | 4 | 1 | no | — |
| 77 | C3 | — | 4 | 1 | no | — |
| 78 | C3 | #3775 | 1 | 1 | yes | characteristic, direct product factor |
| 79 | C2 | — | 12 | 1 | no | — |
| 80 | C2 | C3×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta