| 1 | C4⋊#272 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C4⋊((C3⋊D3)⋊C3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | (C3⋊(C3⋊C8))⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #3714 | — | 3 | 1 | no | maximal |
| 5 | #3713 | — | 3 | 1 | no | maximal |
| 6 | C2×#272 | — | 2 | 1 | no | — |
| 7 | C2×(C3⋊D3)⋊C3 | — | 2 | 1 | no | — |
| 8 | C4×H(3,𝔽3) | C22 | 1 | 1 | yes | characteristic |
| 9 | C4⋊(C3⋊D3) | D3 | 1 | 1 | yes | characteristic, complemented |
| 10 | C3×D12 | — | 3 | 1 | no | — |
| 11 | C3×D12 | — | 3 | 1 | no | — |
| 12 | C3×D12 | — | 3 | 1 | no | — |
| 13 | C3×D12 | — | 6 | 1 | no | — |
| 14 | C3⋊(C3⋊C8) | D3 | 1 | 1 | yes | characteristic, complemented |
| 15 | C3×C3⋊C8 | — | 3 | 1 | no | — |
| 16 | C2×H(3,𝔽3) | D4 | 1 | 1 | yes | characteristic |
| 17 | #272 | — | 4 | 1 | no | — |
| 18 | (C3⋊D3)⋊C3 | — | 4 | 1 | no | — |
| 19 | #213 | — | 9 | 1 | no | — |
| 20 | #213 | — | 9 | 1 | no | — |
| 21 | D24 | — | 9 | 1 | no | — |
| 22 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 23 | C2×C3×D3 | — | 6 | 2 | no | — |
| 24 | C2×C3×D3 | — | 6 | 1 | no | — |
| 25 | C2×C3×D3 | — | 6 | 1 | no | — |
| 26 | C2×C3×D3 | — | 6 | 1 | no | — |
| 27 | C32×C4 | — | 2 | 1 | no | — |
| 28 | C32×C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 29 | C32×C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 30 | H(3,𝔽3) | D8 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 31 | C3×D4 | — | 9 | 1 | no | — |
| 32 | C3×D4 | — | 9 | 1 | no | — |
| 33 | D12 | — | 3 | 1 | no | — |
| 34 | D12 | — | 3 | 1 | no | — |
| 35 | D12 | — | 3 | 1 | no | — |
| 36 | D12 | — | 6 | 1 | no | — |
| 37 | D12 | — | 9 | 1 | no | — |
| 38 | C3×C8 | — | 9 | 1 | no | — |
| 39 | C3⋊C8 | — | 3 | 1 | no | — |
| 40 | C3⋊C8 | — | 9 | 1 | no | — |
| 41 | C2×C32 | — | 2 | 1 | no | — |
| 42 | C2×C32 | D12 | 1 | 1 | yes | characteristic |
| 43 | C2×C32 | #67 | 1 | 1 | yes | characteristic |
| 44 | C3⋊D3 | — | 4 | 1 | no | — |
| 45 | C3×D3 | — | 12 | 2 | no | — |
| 46 | C3×D3 | — | 12 | 1 | no | — |
| 47 | C3×D3 | — | 12 | 1 | no | — |
| 48 | C3×D3 | — | 12 | 1 | no | — |
| 49 | D8 | — | 27 | 1 | no | Sylow |
| 50 | C22×C3 | — | 18 | 1 | no | — |
| 51 | C22×C3 | — | 18 | 1 | no | — |
| 52 | C2×D3 | — | 6 | 1 | no | — |
| 53 | C2×D3 | — | 6 | 1 | no | — |
| 54 | C2×D3 | — | 6 | 2 | no | — |
| 55 | C2×D3 | — | 6 | 1 | no | — |
| 56 | C2×D3 | — | 18 | 1 | no | — |
| 57 | C3×C4 | — | 3 | 1 | no | — |
| 58 | C3×C4 | — | 3 | 1 | no | — |
| 59 | C3×C4 | — | 6 | 1 | no | — |
| 60 | C3×C4 | D32 | 1 | 1 | yes | characteristic |
| 61 | C32 | — | 2 | 1 | no | — |
| 62 | C32 | D24 | 1 | 1 | yes | characteristic, complemented |
| 63 | C32 | #213 | 1 | 1 | yes | characteristic, complemented |
| 64 | D4 | — | 9 | 1 | no | — |
| 65 | D4 | — | 9 | 1 | no | — |
| 66 | C8 | — | 9 | 1 | no | — |
| 67 | C2×C3 | — | 3 | 1 | no | — |
| 68 | C2×C3 | — | 3 | 1 | no | — |
| 69 | C2×C3 | — | 6 | 1 | no | — |
| 70 | C2×C3 | — | 36 | 1 | no | — |
| 71 | C2×C3 | — | 36 | 1 | no | — |
| 72 | C2×C3 | #626 | 1 | 1 | yes | characteristic |
| 73 | D3 | — | 12 | 1 | no | — |
| 74 | D3 | — | 12 | 1 | no | — |
| 75 | D3 | — | 12 | 2 | no | — |
| 76 | D3 | — | 12 | 1 | no | — |
| 77 | D3 | — | 36 | 1 | no | — |
| 78 | C22 | — | 18 | 1 | no | — |
| 79 | C22 | — | 18 | 1 | no | — |
| 80 | C4 | ((C3⋊D3)⋊C3)⋊C2 | 1 | 1 | yes | characteristic |
| 81 | C3 | — | 3 | 1 | no | — |
| 82 | C3 | — | 3 | 1 | no | — |
| 83 | C3 | — | 6 | 1 | no | — |
| 84 | C3 | #3714 | 1 | 1 | yes | characteristic |
| 85 | C2 | — | 36 | 1 | no | — |
| 86 | C2 | — | 36 | 1 | no | — |
| 87 | C2 | #6200 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta