| 1 | C4⋊(C3⋊D15) | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C5×Dic6 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C3⋊#168 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #6717 | — | 3 | 1 | no | maximal |
| 5 | #6660 | — | 3 | 1 | no | maximal |
| 6 | C2×C3⋊D15 | — | 2 | 1 | no | — |
| 7 | C32×C4×C5 | C22 | 1 | 1 | yes | characteristic |
| 8 | C3×C5×Dic3 | — | 2 | 1 | no | — |
| 9 | #3717 | — | 5 | 1 | no | maximal, Hall |
| 10 | C3×C5×Q8 | — | 3 | 1 | no | — |
| 11 | D60 | — | 3 | 1 | no | — |
| 12 | D60 | — | 3 | 1 | no | — |
| 13 | D60 | — | 6 | 1 | no | — |
| 14 | C5×Dic6 | D3 | 1 | 1 | yes | characteristic, complemented |
| 15 | C3⋊#168 | D3 | 1 | 1 | yes | characteristic, complemented |
| 16 | C3×#168 | — | 3 | 1 | no | — |
| 17 | C2×C32×C5 | D4 | 1 | 1 | yes | characteristic |
| 18 | C3⋊D15 | — | 4 | 1 | no | — |
| 19 | #688 | — | 9 | 1 | no | Hall |
| 20 | C4⋊(C3⋊D3) | — | 5 | 1 | no | — |
| 21 | C3×Dic6 | D5 | 1 | 1 | yes | characteristic, complemented |
| 22 | C3×C3⋊C8 | — | 5 | 1 | no | — |
| 23 | C2×D15 | — | 6 | 2 | no | — |
| 24 | C2×D15 | — | 6 | 1 | no | — |
| 25 | C2×D15 | — | 6 | 1 | no | — |
| 26 | C3×C4×C5 | — | 2 | 1 | no | — |
| 27 | C3×C4×C5 | — | 6 | 1 | no | — |
| 28 | C3×C4×C5 | C2×D3 | 1 | 1 | yes | characteristic |
| 29 | C3×C4×C5 | C2×D3 | 1 | 1 | yes | characteristic |
| 30 | C5×Dic3 | — | 2 | 1 | no | — |
| 31 | #215 | — | 15 | 1 | no | — |
| 32 | #204 | — | 15 | 1 | no | — |
| 33 | C32×C5 | SD16 | 1 | 1 | yes | characteristic, complemented, Hall |
| 34 | C5×Q8 | — | 3 | 1 | no | — |
| 35 | D20 | — | 9 | 1 | no | — |
| 36 | #168 | — | 3 | 1 | no | — |
| 37 | C2×C3⋊D3 | — | 10 | 1 | no | — |
| 38 | C32×C4 | C2×D5 | 1 | 1 | yes | characteristic |
| 39 | C3×Dic3 | — | 2 | 1 | no | — |
| 40 | C2×C3×C5 | — | 2 | 1 | no | — |
| 41 | C2×C3×C5 | D12 | 1 | 1 | yes | characteristic |
| 42 | C2×C3×C5 | #67 | 1 | 1 | yes | characteristic |
| 43 | D15 | — | 12 | 2 | no | — |
| 44 | D15 | — | 12 | 1 | no | — |
| 45 | D15 | — | 12 | 1 | no | — |
| 46 | C3×Q8 | — | 3 | 1 | no | — |
| 47 | D12 | — | 15 | 1 | no | — |
| 48 | D12 | — | 15 | 1 | no | — |
| 49 | D12 | — | 30 | 1 | no | — |
| 50 | Dic6 | D15 | 1 | 1 | yes | characteristic, complemented |
| 51 | C3×C8 | — | 15 | 1 | no | — |
| 52 | C3⋊C8 | — | 5 | 1 | no | — |
| 53 | C2×D5 | — | 18 | 1 | no | — |
| 54 | C4×C5 | — | 6 | 1 | no | — |
| 55 | C4×C5 | D32 | 1 | 1 | yes | characteristic |
| 56 | C2×C32 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 57 | C3⋊D3 | — | 20 | 1 | no | — |
| 58 | SD16 | — | 45 | 1 | no | Sylow |
| 59 | C3×C5 | — | 2 | 1 | no | — |
| 60 | C3×C5 | #204 | 1 | 1 | yes | characteristic, complemented |
| 61 | C3×C5 | #215 | 1 | 1 | yes | characteristic, complemented |
| 62 | C2×D3 | — | 30 | 2 | no | — |
| 63 | C2×D3 | — | 30 | 1 | no | — |
| 64 | C2×D3 | — | 30 | 1 | no | — |
| 65 | C3×C4 | — | 2 | 1 | no | — |
| 66 | C3×C4 | — | 6 | 1 | no | — |
| 67 | C3×C4 | D3×D5 | 1 | 1 | yes | characteristic |
| 68 | C3×C4 | C2×D15 | 1 | 1 | yes | characteristic |
| 69 | Dic3 | — | 2 | 1 | no | — |
| 70 | C2×C5 | #626 | 1 | 1 | yes | characteristic |
| 71 | D5 | — | 36 | 1 | no | — |
| 72 | C32 | #688 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 73 | Q8 | — | 3 | 1 | no | — |
| 74 | D4 | — | 45 | 1 | no | — |
| 75 | C8 | — | 15 | 1 | no | — |
| 76 | C2×C3 | — | 2 | 1 | no | — |
| 77 | C2×C3 | #1203 | 1 | 1 | yes | characteristic |
| 78 | C2×C3 | #1220 | 1 | 1 | yes | characteristic |
| 79 | D3 | — | 60 | 2 | no | — |
| 80 | D3 | — | 60 | 1 | no | — |
| 81 | D3 | — | 60 | 1 | no | — |
| 82 | C5 | #3717 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 83 | C22 | — | 90 | 1 | no | — |
| 84 | C4 | — | 6 | 1 | no | — |
| 85 | C4 | D3×D15 | 1 | 1 | yes | characteristic |
| 86 | C3 | — | 2 | 1 | no | — |
| 87 | C3 | #6660 | 1 | 1 | yes | characteristic, complemented |
| 88 | C3 | #6717 | 1 | 1 | yes | characteristic, complemented |
| 89 | C2 | — | 180 | 1 | no | — |
| 90 | C2 | #67152 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta