| 1 | C3×#135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #904 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #829 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #828 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #826 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C2×C3⋊C16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #508 | — | 3 | 1 | no | maximal, Sylow |
| 9 | C3×#41 | — | 2 | 1 | no | — |
| 10 | #235 | — | 2 | 1 | no | — |
| 11 | C3×Q16 | C22 | 1 | 1 | yes | characteristic |
| 12 | C3×SD16 | — | 2 | 1 | no | — |
| 13 | C3×D8 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C3×C8 | C22 | 1 | 1 | yes | characteristic |
| 15 | Dic12 | C22 | 1 | 1 | yes | characteristic |
| 16 | D24 | C22 | 1 | 1 | yes | characteristic |
| 17 | #204 | — | 2 | 1 | no | — |
| 18 | C3⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 19 | C3⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 20 | #135 | — | 3 | 1 | no | — |
| 21 | #135 | D3 | 1 | 1 | yes | characteristic, complemented |
| 22 | Q32 | — | 3 | 1 | no | — |
| 23 | SD32 | — | 3 | 1 | no | — |
| 24 | SD32 | — | 3 | 1 | no | — |
| 25 | D16 | — | 3 | 1 | no | — |
| 26 | C2×C16 | — | 3 | 1 | no | — |
| 27 | C3×Q8 | — | 2 | 1 | no | — |
| 28 | C3×D4 | — | 2 | 1 | no | — |
| 29 | C3×D4 | — | 4 | 1 | no | — |
| 30 | C2×C3×C4 | — | 4 | 1 | no | — |
| 31 | C2×C3×C4 | D4 | 1 | 1 | yes | characteristic |
| 32 | #67 | — | 4 | 1 | no | — |
| 33 | D12 | — | 2 | 1 | no | — |
| 34 | C4×D3 | — | 4 | 1 | no | — |
| 35 | Dic6 | — | 2 | 1 | no | — |
| 36 | C3×C8 | D4 | 1 | 1 | yes | characteristic |
| 37 | C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 38 | #41 | — | 2 | 1 | no | — |
| 39 | #41 | — | 6 | 1 | no | — |
| 40 | Q16 | — | 3 | 1 | no | — |
| 41 | Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 42 | SD16 | — | 2 | 1 | no | — |
| 43 | SD16 | — | 6 | 1 | no | — |
| 44 | D8 | — | 3 | 1 | no | — |
| 45 | D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 46 | C2×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 47 | C16 | — | 3 | 1 | no | — |
| 48 | C16 | — | 3 | 1 | no | — |
| 49 | C22×C3 | — | 4 | 1 | no | — |
| 50 | C22×C3 | D8 | 1 | 1 | yes | characteristic |
| 51 | C2×D3 | — | 4 | 1 | no | — |
| 52 | C3×C4 | — | 4 | 1 | no | — |
| 53 | C3×C4 | D8 | 1 | 1 | yes | characteristic |
| 54 | C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 55 | Dic3 | — | 4 | 1 | no | — |
| 56 | Q8 | — | 2 | 1 | no | — |
| 57 | Q8 | — | 6 | 1 | no | — |
| 58 | D4 | — | 2 | 1 | no | — |
| 59 | D4 | — | 4 | 1 | no | — |
| 60 | D4 | — | 6 | 1 | no | — |
| 61 | D4 | — | 12 | 1 | no | — |
| 62 | C2×C4 | — | 4 | 1 | no | — |
| 63 | C2×C4 | — | 12 | 1 | no | — |
| 64 | C2×C4 | #67 | 1 | 1 | yes | characteristic |
| 65 | C8 | #67 | 1 | 1 | yes | characteristic |
| 66 | C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 67 | C2×C3 | — | 2 | 1 | no | — |
| 68 | C2×C3 | — | 8 | 1 | no | — |
| 69 | C2×C3 | C2×D8 | 1 | 1 | yes | characteristic |
| 70 | D3 | — | 8 | 1 | no | — |
| 71 | C22 | — | 4 | 1 | no | — |
| 72 | C22 | — | 12 | 1 | no | — |
| 73 | C22 | #213 | 1 | 1 | yes | characteristic |
| 74 | C4 | — | 4 | 1 | no | — |
| 75 | C4 | — | 12 | 1 | no | — |
| 76 | C4 | #213 | 1 | 1 | yes | characteristic |
| 77 | C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 78 | C3 | #508 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 79 | C2 | — | 2 | 1 | no | — |
| 80 | C2 | — | 8 | 1 | no | — |
| 81 | C2 | — | 24 | 1 | no | — |
| 82 | C2 | C2×#213 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta