| 1 | C25×D51 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D3×C17×C25 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C25×D17 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×C25×D17 | — | 3 | 1 | no | maximal, Hall |
| 5 | C3×C17×C25 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 6 | C5×D3×D17 | C5 | 1 | 1 | yes | maximal, characteristic |
| 7 | C2×C17×C25 | — | 3 | 1 | no | — |
| 8 | C25×D17 | — | 3 | 1 | no | — |
| 9 | C25×D17 | D3 | 1 | 1 | yes | characteristic, direct product factor |
| 10 | C5×D51 | C2×C5 | 1 | 1 | yes | characteristic |
| 11 | C5×D3×C17 | C2×C5 | 1 | 1 | yes | characteristic |
| 12 | C3×C5×D17 | C2×C5 | 1 | 1 | yes | characteristic |
| 13 | C17×C25 | C2×D3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 14 | C2×C5×D17 | — | 3 | 1 | no | — |
| 15 | C2×D3×C25 | — | 17 | 1 | no | maximal, Hall |
| 16 | C3×C5×C17 | C22×C5 | 1 | 1 | yes | characteristic |
| 17 | D3×D17 | C25 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 18 | C2×C5×C17 | — | 3 | 1 | no | — |
| 19 | C5×D17 | — | 3 | 1 | no | — |
| 20 | C5×D17 | C5×D3 | 1 | 1 | yes | characteristic |
| 21 | C2×C3×C25 | — | 17 | 1 | no | — |
| 22 | D3×C25 | — | 17 | 1 | no | — |
| 23 | D3×C25 | D17 | 1 | 1 | yes | characteristic, direct product factor |
| 24 | D51 | C2×C25 | 1 | 1 | yes | characteristic, complemented |
| 25 | C3×D17 | C2×C25 | 1 | 1 | yes | characteristic, complemented |
| 26 | D3×C17 | C2×C25 | 1 | 1 | yes | characteristic, complemented |
| 27 | C22×C25 | — | 51 | 1 | no | Hall |
| 28 | C5×C17 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 29 | C3×C25 | C2×D17 | 1 | 1 | yes | characteristic, complemented, Hall |
| 30 | C2×D17 | — | 3 | 1 | no | Hall |
| 31 | C2×C5×D3 | — | 17 | 1 | no | — |
| 32 | C3×C17 | C22×C25 | 1 | 1 | yes | characteristic, complemented, Hall |
| 33 | C2×C25 | — | 3 | 1 | no | — |
| 34 | C2×C25 | — | 17 | 1 | no | — |
| 35 | C2×C25 | — | 51 | 1 | no | — |
| 36 | C2×C17 | — | 3 | 1 | no | — |
| 37 | D17 | — | 3 | 1 | no | — |
| 38 | D17 | D3×C25 | 1 | 1 | yes | characteristic, direct product factor |
| 39 | C2×C3×C5 | — | 17 | 1 | no | — |
| 40 | C5×D3 | — | 17 | 1 | no | — |
| 41 | C5×D3 | C5×D17 | 1 | 1 | yes | characteristic |
| 42 | C25 | D3×D17 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 43 | C22×C5 | — | 51 | 1 | no | — |
| 44 | C17 | C2×D3×C25 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 45 | C3×C5 | C2×C5×D17 | 1 | 1 | yes | characteristic |
| 46 | C2×D3 | — | 17 | 1 | no | Hall |
| 47 | C2×C5 | — | 3 | 1 | no | — |
| 48 | C2×C5 | — | 17 | 1 | no | — |
| 49 | C2×C5 | — | 51 | 1 | no | — |
| 50 | C2×C3 | — | 17 | 1 | no | — |
| 51 | D3 | — | 17 | 1 | no | — |
| 52 | D3 | C25×D17 | 1 | 1 | yes | characteristic, direct product factor |
| 53 | C5 | C5×D3×D17 | 1 | 1 | yes | characteristic |
| 54 | C22 | — | 51 | 1 | no | Sylow |
| 55 | C3 | C2×C25×D17 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 56 | C2 | — | 3 | 1 | no | — |
| 57 | C2 | — | 17 | 1 | no | — |
| 58 | C2 | — | 51 | 1 | no | — |
Finite Group Databasebeta