| 1 | C52×(C11⋊D11)⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×#14559102 | — | 3 | 1 | no | maximal, Hall |
| 3 | C52×C112⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | #20300045 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 5 | C5×#13089721 | — | 5 | 1 | no | maximal |
| 6 | C52×C11⋊D11 | D3 | 1 | 1 | yes | characteristic |
| 7 | C5×(C11⋊D11)⋊C3 | — | 2 | 2 | no | — |
| 8 | C5×(C11⋊D11)⋊C3 | D5 | 1 | 1 | yes | characteristic |
| 9 | C5×(C11⋊D11)⋊C3 | C2×C5 | 1 | 1 | yes | characteristic |
| 10 | C52×C112 | Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 11 | #14559102 | — | 3 | 1 | no | — |
| 12 | C5×#92150 | — | 15 | 1 | no | — |
| 13 | C5×C112⋊C3 | — | 2 | 2 | no | — |
| 14 | C5×C112⋊C3 | Dic5 | 1 | 1 | yes | characteristic, complemented |
| 15 | C5×C112⋊C3 | C4×C5 | 1 | 1 | yes | characteristic, complemented |
| 16 | #13089721 | — | 5 | 1 | no | Hall |
| 17 | C5×C11⋊D11 | — | 2 | 2 | no | — |
| 18 | C5×C11⋊D11 | C5×D3 | 1 | 1 | yes | characteristic |
| 19 | C5×C11⋊D11 | D15 | 1 | 1 | yes | characteristic |
| 20 | (C11⋊D11)⋊C3 | C5×D5 | 1 | 1 | yes | characteristic |
| 21 | C5×C112 | — | 2 | 2 | no | — |
| 22 | C5×C112 | C5×Dic3 | 1 | 1 | yes | characteristic, complemented |
| 23 | C5×C112 | Dic15 | 1 | 1 | yes | characteristic, complemented |
| 24 | C52×D11 | — | 66 | 2 | no | — |
| 25 | #92150 | — | 15 | 1 | no | Hall |
| 26 | C112⋊C3 | C5×Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 27 | C5×Dic15 | — | 121 | 1 | no | maximal, Hall |
| 28 | C52×C11 | — | 6 | 2 | no | — |
| 29 | C11⋊D11 | C5×D15 | 1 | 1 | yes | characteristic |
| 30 | C2×C3×C52 | — | 121 | 1 | no | — |
| 31 | C112 | C5×Dic15 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 32 | C5×D11 | — | 66 | 2 | no | — |
| 33 | C5×D11 | — | 66 | 2 | no | — |
| 34 | C5×D11 | — | 66 | 8 | no | — |
| 35 | C5×Dic5 | — | 363 | 1 | no | Hall |
| 36 | C3×C52 | — | 484 | 1 | no | Hall |
| 37 | Dic15 | — | 121 | 1 | no | — |
| 38 | C5×Dic3 | — | 605 | 1 | no | — |
| 39 | C5×C11 | — | 6 | 8 | no | — |
| 40 | C5×C11 | — | 6 | 2 | no | — |
| 41 | C5×C11 | — | 6 | 2 | no | — |
| 42 | C2×C52 | — | 121 | 1 | no | — |
| 43 | C2×C3×C5 | — | 121 | 1 | no | — |
| 44 | C2×C3×C5 | — | 121 | 1 | no | — |
| 45 | C2×C3×C5 | — | 242 | 2 | no | — |
| 46 | C52 | #13089721 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 47 | D11 | — | 66 | 2 | no | — |
| 48 | C4×C5 | — | 1815 | 1 | no | — |
| 49 | Dic5 | — | 363 | 1 | no | — |
| 50 | C3×C5 | — | 484 | 2 | no | — |
| 51 | C3×C5 | — | 484 | 1 | no | — |
| 52 | C3×C5 | — | 484 | 1 | no | — |
| 53 | Dic3 | — | 605 | 1 | no | Hall |
| 54 | C11 | — | 6 | 2 | no | — |
| 55 | C2×C5 | — | 121 | 1 | no | — |
| 56 | C2×C5 | — | 121 | 1 | no | — |
| 57 | C2×C5 | — | 242 | 2 | no | — |
| 58 | C2×C3 | — | 121 | 1 | no | — |
| 59 | C5 | — | 2 | 2 | no | — |
| 60 | C5 | C5×#13089721 | 1 | 1 | yes | characteristic, complemented |
| 61 | C5 | #20300045 | 1 | 1 | yes | characteristic, direct product factor |
| 62 | C4 | — | 1815 | 1 | no | Sylow |
| 63 | C3 | — | 484 | 1 | no | Sylow |
| 64 | C2 | — | 121 | 1 | no | — |
Finite Group Databasebeta