| 1 | C3×#41⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D3×SL(2,𝔽3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3⋊(#41⋊C3) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D3×#41 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#41⋊C3 | — | 3 | 1 | no | maximal |
| 6 | C3×C4×D3 | — | 4 | 1 | no | maximal |
| 7 | C3×SL(2,𝔽3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 8 | C3×#41 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 9 | #239 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 10 | D3×Q8 | C2×C3 | 1 | 1 | yes | characteristic |
| 11 | #237 | — | 3 | 1 | no | — |
| 12 | D3×D4 | — | 3 | 1 | no | — |
| 13 | #235 | — | 3 | 1 | no | — |
| 14 | C2×C4×D3 | — | 3 | 1 | no | — |
| 15 | #41⋊C3 | — | 2 | 1 | no | — |
| 16 | #41⋊C3 | — | 3 | 1 | no | — |
| 17 | #41⋊C3 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 18 | C2×SL(2,𝔽3) | — | 3 | 1 | no | — |
| 19 | C2×C3×D3 | — | 4 | 1 | no | — |
| 20 | C32×C4 | — | 4 | 1 | no | — |
| 21 | C3×Dic3 | — | 4 | 1 | no | — |
| 22 | C2×#41 | — | 3 | 1 | no | Sylow |
| 23 | C22×D3 | — | 3 | 1 | no | — |
| 24 | C3×Q8 | C22×C3 | 1 | 1 | yes | characteristic |
| 25 | C3×D4 | — | 3 | 1 | no | — |
| 26 | C2×C3×C4 | — | 3 | 1 | no | — |
| 27 | C2×C3×C4 | — | 12 | 1 | no | — |
| 28 | #67 | — | 3 | 2 | no | — |
| 29 | C2×Dic3 | — | 3 | 1 | no | — |
| 30 | D12 | — | 3 | 1 | no | — |
| 31 | C4×D3 | — | 3 | 1 | no | — |
| 32 | C4×D3 | — | 3 | 1 | no | — |
| 33 | C4×D3 | — | 3 | 1 | no | — |
| 34 | C4×D3 | A4 | 1 | 1 | yes | characteristic |
| 35 | Dic6 | — | 3 | 1 | no | — |
| 36 | SL(2,𝔽3) | — | 2 | 1 | no | — |
| 37 | SL(2,𝔽3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×C32 | — | 4 | 1 | no | — |
| 39 | C3×D3 | — | 4 | 2 | no | — |
| 40 | #41 | — | 3 | 1 | no | — |
| 41 | #41 | — | 9 | 1 | no | — |
| 42 | #41 | — | 9 | 1 | no | — |
| 43 | #41 | C3×D3 | 1 | 1 | yes | characteristic, complemented |
| 44 | C2×Q8 | — | 3 | 1 | no | — |
| 45 | C2×D4 | — | 9 | 1 | no | — |
| 46 | C22×C4 | — | 9 | 1 | no | — |
| 47 | C22×C3 | — | 3 | 1 | no | — |
| 48 | C22×C3 | — | 12 | 1 | no | — |
| 49 | C2×D3 | — | 3 | 1 | no | — |
| 50 | C2×D3 | — | 6 | 2 | no | — |
| 51 | C2×D3 | C2×A4 | 1 | 1 | yes | characteristic |
| 52 | C3×C4 | — | 3 | 1 | no | — |
| 53 | C3×C4 | — | 4 | 1 | no | — |
| 54 | C3×C4 | — | 8 | 1 | no | — |
| 55 | C3×C4 | — | 12 | 1 | no | — |
| 56 | C3×C4 | C2×A4 | 1 | 1 | yes | characteristic |
| 57 | Dic3 | — | 3 | 1 | no | — |
| 58 | Dic3 | C2×A4 | 1 | 1 | yes | characteristic |
| 59 | C32 | — | 4 | 1 | no | Sylow |
| 60 | C23 | — | 9 | 1 | no | — |
| 61 | Q8 | — | 9 | 1 | no | — |
| 62 | Q8 | C2×C3×D3 | 1 | 1 | yes | characteristic |
| 63 | D4 | — | 3 | 1 | no | — |
| 64 | D4 | — | 9 | 1 | no | — |
| 65 | D4 | — | 9 | 2 | no | — |
| 66 | C2×C4 | — | 3 | 1 | no | — |
| 67 | C2×C4 | — | 3 | 1 | no | — |
| 68 | C2×C4 | — | 9 | 1 | no | — |
| 69 | C2×C4 | — | 9 | 1 | no | — |
| 70 | C2×C4 | — | 9 | 1 | no | — |
| 71 | C2×C4 | — | 9 | 1 | no | — |
| 72 | C2×C3 | — | 4 | 1 | no | — |
| 73 | C2×C3 | — | 6 | 1 | no | — |
| 74 | C2×C3 | — | 8 | 1 | no | — |
| 75 | C2×C3 | — | 12 | 2 | no | — |
| 76 | C2×C3 | C22×A4 | 1 | 1 | yes | characteristic |
| 77 | D3 | — | 6 | 1 | no | — |
| 78 | D3 | #41⋊C3 | 1 | 2 | yes | direct product factor |
| 79 | C22 | — | 3 | 1 | no | — |
| 80 | C22 | — | 3 | 1 | no | — |
| 81 | C22 | — | 9 | 1 | no | — |
| 82 | C22 | — | 18 | 2 | no | — |
| 83 | C4 | — | 3 | 1 | no | — |
| 84 | C4 | — | 3 | 1 | no | — |
| 85 | C4 | — | 9 | 1 | no | — |
| 86 | C4 | D3×A4 | 1 | 1 | yes | characteristic |
| 87 | C3 | — | 4 | 1 | no | — |
| 88 | C3 | — | 8 | 1 | no | — |
| 89 | C3 | C2×#41⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 90 | C2 | — | 3 | 2 | no | — |
| 91 | C2 | — | 6 | 1 | no | — |
| 92 | C2 | — | 18 | 1 | no | — |
| 93 | C2 | C2×D3×A4 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta