| 1 | C2×(C112⋊C3)⋊C25 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10624391⋊C25 | C2 | 1 | 2 | yes | maximal, direct product factor |
| 3 | C2×#20258405 | — | 3 | 1 | no | maximal, Hall |
| 4 | (C112⋊C3)⋊C25 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×C5×#10624391 | C5 | 1 | 1 | yes | maximal, characteristic |
| 6 | C2×#15690027 | D3 | 1 | 1 | yes | characteristic, complemented |
| 7 | #20258405 | — | 3 | 2 | no | — |
| 8 | C2×C5×C112⋊C3 | C2×C5 | 1 | 1 | yes | characteristic |
| 9 | C5×#10624391 | C2×C5 | 1 | 2 | yes | — |
| 10 | #15690027 | C2×D3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 11 | C2×C5×C11×D11 | — | 3 | 1 | no | — |
| 12 | C5×C112⋊C3 | C22×C5 | 1 | 1 | yes | characteristic |
| 13 | C2×#10624391 | C25 | 1 | 1 | yes | characteristic, complemented, Hall |
| 14 | C2×C5×C112 | C5×D3 | 1 | 1 | yes | characteristic |
| 15 | C5×C11×D11 | — | 3 | 2 | no | — |
| 16 | C22×C11⋊C25 | — | 33 | 1 | no | — |
| 17 | C2×D11⋊C25 | — | 33 | 1 | no | — |
| 18 | C2×C112⋊C3 | C2×C25 | 1 | 1 | yes | characteristic, complemented |
| 19 | #10624391 | C2×C25 | 1 | 2 | yes | complemented |
| 20 | C5×C112 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 21 | C2×C11⋊C25 | — | 33 | 1 | no | — |
| 22 | C2×C11⋊C25 | — | 33 | 1 | no | — |
| 23 | C2×C11⋊C25 | — | 33 | 2 | no | — |
| 24 | C2×C11⋊C25 | — | 66 | 1 | no | — |
| 25 | D11⋊C25 | — | 33 | 2 | no | — |
| 26 | C2×C11×D11 | — | 3 | 1 | no | Hall |
| 27 | C112⋊C3 | C22×C25 | 1 | 1 | yes | characteristic, complemented, Hall |
| 28 | C2×D3×C25 | — | 121 | 1 | no | maximal, Hall |
| 29 | C11⋊C25 | — | 33 | 1 | no | — |
| 30 | C11⋊C25 | — | 33 | 1 | no | — |
| 31 | C11⋊C25 | — | 66 | 1 | no | — |
| 32 | C2×C112 | D3×C25 | 1 | 1 | yes | characteristic, complemented |
| 33 | C11×D11 | — | 3 | 2 | no | — |
| 34 | C22×C5×C11 | — | 165 | 1 | no | — |
| 35 | C2×C5×D11 | — | 3 | 1 | no | — |
| 36 | C2×C3×C25 | — | 121 | 1 | no | — |
| 37 | D3×C25 | — | 121 | 2 | no | — |
| 38 | C112 | C2×D3×C25 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 39 | C2×C5×C11 | — | 3 | 1 | no | — |
| 40 | C2×C5×C11 | — | 3 | 1 | no | — |
| 41 | C2×C5×C11 | — | 6 | 1 | no | — |
| 42 | C2×C5×C11 | — | 165 | 2 | no | — |
| 43 | C5×D11 | — | 3 | 2 | no | — |
| 44 | C22×C25 | — | 363 | 1 | no | Hall |
| 45 | C3×C25 | — | 121 | 1 | no | Hall |
| 46 | C2×C5×D3 | — | 605 | 1 | no | — |
| 47 | C5×C11 | — | 3 | 1 | no | — |
| 48 | C5×C11 | — | 3 | 1 | no | — |
| 49 | C5×C11 | — | 6 | 1 | no | — |
| 50 | C2×C25 | — | 363 | 2 | no | — |
| 51 | C2×C25 | — | 121 | 1 | no | — |
| 52 | C22×C11 | — | 165 | 1 | no | — |
| 53 | C2×D11 | — | 3 | 1 | no | — |
| 54 | C2×C3×C5 | — | 605 | 1 | no | — |
| 55 | C5×D3 | — | 605 | 2 | no | — |
| 56 | C25 | — | 121 | 1 | no | Sylow |
| 57 | C2×C11 | — | 3 | 1 | no | — |
| 58 | C2×C11 | — | 3 | 1 | no | — |
| 59 | C2×C11 | — | 6 | 1 | no | — |
| 60 | C2×C11 | — | 165 | 2 | no | — |
| 61 | D11 | — | 3 | 2 | no | — |
| 62 | C22×C5 | — | 165 | 1 | no | — |
| 63 | C3×C5 | — | 605 | 1 | no | — |
| 64 | C2×D3 | — | 605 | 1 | no | Hall |
| 65 | C11 | — | 3 | 1 | no | — |
| 66 | C11 | — | 3 | 1 | no | — |
| 67 | C11 | — | 6 | 1 | no | — |
| 68 | C2×C5 | — | 165 | 2 | no | — |
| 69 | C2×C5 | #10624391⋊C5 | 1 | 1 | yes | characteristic |
| 70 | C2×C3 | — | 605 | 1 | no | — |
| 71 | D3 | — | 605 | 2 | no | — |
| 72 | C5 | C2×#10624391⋊C5 | 1 | 1 | yes | characteristic |
| 73 | C22 | — | 165 | 1 | no | Sylow |
| 74 | C3 | — | 605 | 1 | no | Sylow |
| 75 | C2 | — | 165 | 2 | no | — |
| 76 | C2 | #10624391⋊C25 | 1 | 1 | yes | characteristic, direct product factor |
Finite Group Databasebeta