| 1 | C2×C25×#66526 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C25⋊(#66526⋊C2) | C2 | 1 | 2 | yes | maximal, direct product factor |
| 3 | C2×C25⋊(D37⋊C3) | C3 | 1 | 1 | yes | maximal, characteristic |
| 4 | C25×#66526 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×C5⋊(#66526⋊C2) | — | 5 | 1 | no | maximal |
| 6 | C2×C25×C37⋊C3 | C2×C3 | 1 | 1 | yes | characteristic |
| 7 | C25⋊(D37⋊C3) | C2×C3 | 1 | 2 | yes | — |
| 8 | C2×D925 | C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | C2×C5×#66526 | D5 | 1 | 1 | yes | characteristic |
| 10 | C5⋊(#66526⋊C2) | — | 5 | 2 | no | — |
| 11 | C25×C37⋊C3 | C22×C3 | 1 | 1 | yes | characteristic |
| 12 | C2×C5⋊(D37⋊C3) | — | 5 | 1 | no | — |
| 13 | C2×C25×C37 | C2×C9 | 1 | 1 | yes | characteristic, complemented |
| 14 | D925 | C2×C9 | 1 | 2 | yes | complemented |
| 15 | C5×#66526 | C2×D5 | 1 | 1 | yes | characteristic |
| 16 | C2×#66526⋊C2 | — | 25 | 1 | no | Hall |
| 17 | C2×C5×C37⋊C3 | C3×D5 | 1 | 1 | yes | characteristic |
| 18 | C5⋊(D37⋊C3) | — | 5 | 2 | no | — |
| 19 | C25×C37 | C22×C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | C2×C9×D25 | — | 37 | 1 | no | maximal, Hall |
| 21 | C2×D185 | — | 5 | 1 | no | — |
| 22 | C2×#66526 | D25 | 1 | 1 | yes | characteristic, complemented |
| 23 | #66526⋊C2 | — | 25 | 2 | no | — |
| 24 | C5×C37⋊C3 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 25 | C2×C9×C25 | — | 37 | 1 | no | — |
| 26 | C9×D25 | — | 37 | 2 | no | — |
| 27 | C2×D37⋊C3 | — | 25 | 1 | no | — |
| 28 | C2×C5×C37 | C9×D5 | 1 | 1 | yes | characteristic |
| 29 | D185 | — | 5 | 2 | no | — |
| 30 | #66526 | C2×D25 | 1 | 1 | yes | characteristic, complemented, Hall |
| 31 | C2×C3×D25 | — | 37 | 1 | no | — |
| 32 | C9×C25 | — | 37 | 1 | no | Hall |
| 33 | C2×C37⋊C3 | C3×D25 | 1 | 1 | yes | characteristic |
| 34 | D37⋊C3 | — | 25 | 2 | no | — |
| 35 | C5×C37 | C2×C9×D5 | 1 | 1 | yes | characteristic |
| 36 | C2×C9×D5 | — | 185 | 1 | no | — |
| 37 | C2×C3×C25 | — | 37 | 1 | no | — |
| 38 | C3×D25 | — | 37 | 2 | no | — |
| 39 | C2×D37 | — | 25 | 1 | no | Hall |
| 40 | C37⋊C3 | C2×C3×D25 | 1 | 1 | yes | characteristic |
| 41 | C2×D25 | — | 37 | 1 | no | Hall |
| 42 | C2×C5×C9 | — | 37 | 1 | no | — |
| 43 | C9×D5 | — | 185 | 2 | no | — |
| 44 | C3×C25 | — | 37 | 1 | no | — |
| 45 | C2×C37 | C9×D25 | 1 | 1 | yes | characteristic, complemented |
| 46 | D37 | — | 25 | 2 | no | — |
| 47 | C2×C3×D5 | — | 185 | 1 | no | — |
| 48 | C2×C25 | #66526⋊C2 | 1 | 1 | yes | characteristic, complemented |
| 49 | D25 | — | 37 | 2 | no | — |
| 50 | C5×C9 | — | 37 | 1 | no | — |
| 51 | C37 | C2×C9×D25 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 52 | C22×C9 | — | 925 | 1 | no | Hall |
| 53 | C2×C3×C5 | — | 37 | 1 | no | — |
| 54 | C3×D5 | — | 185 | 2 | no | — |
| 55 | C25 | C2×#66526⋊C2 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 56 | C2×D5 | — | 185 | 1 | no | — |
| 57 | C2×C9 | — | 37 | 1 | no | — |
| 58 | C2×C9 | — | 925 | 2 | no | — |
| 59 | C3×C5 | — | 37 | 1 | no | — |
| 60 | C22×C3 | — | 925 | 1 | no | — |
| 61 | C2×C5 | C5⋊(#66526⋊C2) | 1 | 1 | yes | characteristic |
| 62 | D5 | — | 185 | 2 | no | — |
| 63 | C9 | — | 37 | 1 | no | Sylow |
| 64 | C2×C3 | — | 37 | 1 | no | — |
| 65 | C2×C3 | — | 925 | 2 | no | — |
| 66 | C5 | C2×C5⋊(#66526⋊C2) | 1 | 1 | yes | characteristic |
| 67 | C22 | — | 925 | 1 | no | Sylow |
| 68 | C3 | — | 37 | 1 | no | — |
| 69 | C2 | — | 925 | 2 | no | — |
| 70 | C2 | C25⋊(#66526⋊C2) | 1 | 1 | yes | characteristic, direct product factor |
Finite Group Databasebeta