| 1 | D3×C172⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3⋊#13181892 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#13181892 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D3×C17×D17 | — | 3 | 1 | no | maximal |
| 5 | C2×#13181892 | — | 3 | 1 | no | maximal |
| 6 | C3×C172⋊C3 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 7 | C3×C17×D17 | — | 3 | 1 | no | — |
| 8 | D3×C172 | D3 | 1 | 1 | yes | characteristic, complemented |
| 9 | C17×D51 | — | 3 | 1 | no | — |
| 10 | C2×C172⋊C3 | — | 3 | 1 | no | — |
| 11 | #13181892 | — | 3 | 1 | no | — |
| 12 | #13181892 | — | 6 | 1 | no | — |
| 13 | #13181892 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 14 | C2×C17×D17 | — | 9 | 1 | no | Hall |
| 15 | C3×C172 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 16 | C172⋊C3 | — | 2 | 1 | no | — |
| 17 | C172⋊C3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×C172 | — | 3 | 1 | no | — |
| 19 | C17×D17 | — | 3 | 1 | no | — |
| 20 | C17×D17 | — | 9 | 1 | no | — |
| 21 | C172 | D32 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 22 | C2×D3×C17 | — | 51 | 1 | no | — |
| 23 | D3×D17 | — | 3 | 1 | no | — |
| 24 | C2×C3×C17 | — | 51 | 1 | no | — |
| 25 | D51 | — | 3 | 1 | no | — |
| 26 | C3×D17 | — | 3 | 1 | no | — |
| 27 | D3×C17 | — | 3 | 1 | no | — |
| 28 | D3×C17 | — | 3 | 1 | no | — |
| 29 | D3×C17 | — | 6 | 2 | no | — |
| 30 | D3×C17 | — | 51 | 1 | no | — |
| 31 | C22×C17 | — | 153 | 1 | no | — |
| 32 | C2×D17 | — | 9 | 1 | no | — |
| 33 | C3×C17 | — | 3 | 1 | no | — |
| 34 | C3×C17 | — | 3 | 1 | no | — |
| 35 | C3×C17 | — | 6 | 2 | no | — |
| 36 | D32 | — | 289 | 1 | no | maximal, Hall |
| 37 | C2×C17 | — | 9 | 1 | no | — |
| 38 | C2×C17 | — | 9 | 1 | no | — |
| 39 | C2×C17 | — | 18 | 2 | no | — |
| 40 | C2×C17 | — | 51 | 1 | no | — |
| 41 | C2×C17 | — | 153 | 1 | no | — |
| 42 | D17 | — | 3 | 1 | no | — |
| 43 | D17 | — | 9 | 1 | no | — |
| 44 | C3⋊D3 | — | 289 | 1 | no | — |
| 45 | C3×D3 | — | 289 | 1 | no | — |
| 46 | C3×D3 | — | 289 | 1 | no | — |
| 47 | C17 | — | 3 | 1 | no | — |
| 48 | C17 | — | 3 | 1 | no | — |
| 49 | C17 | — | 6 | 2 | no | — |
| 50 | C2×D3 | — | 51 | 1 | no | — |
| 51 | C2×D3 | — | 867 | 1 | no | — |
| 52 | C32 | — | 289 | 1 | no | Sylow |
| 53 | C2×C3 | — | 51 | 1 | no | — |
| 54 | C2×C3 | — | 867 | 1 | no | — |
| 55 | D3 | — | 289 | 1 | no | — |
| 56 | D3 | — | 51 | 1 | no | — |
| 57 | D3 | — | 867 | 1 | no | — |
| 58 | D3 | — | 1734 | 1 | no | — |
| 59 | D3 | #13181892 | 1 | 1 | yes | characteristic, direct product factor |
| 60 | C22 | — | 153 | 1 | no | Sylow |
| 61 | C3 | — | 289 | 1 | no | — |
| 62 | C3 | — | 578 | 1 | no | — |
| 63 | C3 | C2×#13181892 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2 | — | 3 | 1 | no | — |
| 65 | C2 | — | 51 | 1 | no | — |
| 66 | C2 | — | 153 | 1 | no | — |
Finite Group Databasebeta