| 1 | C5×#627 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×#625 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C5×#622 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×C3×C5×D3 | — | 2 | 1 | no | — |
| 5 | C5×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 6 | C3×C5×Dic3 | — | 2 | 1 | no | — |
| 7 | #3775 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 8 | C5×#67 | — | 6 | 1 | no | — |
| 9 | C5×Dic6 | — | 6 | 1 | no | — |
| 10 | C2×C32×C5 | D4 | 1 | 1 | yes | characteristic |
| 11 | C3×C5×D3 | — | 4 | 1 | no | — |
| 12 | C5×SD16 | — | 9 | 1 | no | maximal, Hall |
| 13 | #627 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 14 | #625 | C2×C5 | 1 | 1 | yes | characteristic |
| 15 | #622 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 16 | C22×C3×C5 | — | 6 | 1 | no | — |
| 17 | C2×C5×D3 | — | 2 | 1 | no | — |
| 18 | C3×C4×C5 | — | 6 | 1 | no | — |
| 19 | C5×Dic3 | — | 2 | 1 | no | — |
| 20 | C5×Dic3 | — | 6 | 1 | no | — |
| 21 | C5×Dic3 | — | 6 | 1 | no | — |
| 22 | C32×C5 | SD16 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C5×Q8 | — | 9 | 1 | no | — |
| 24 | C5×D4 | — | 9 | 1 | no | — |
| 25 | C5×C8 | — | 9 | 1 | no | — |
| 26 | C2×C3×D3 | — | 2 | 1 | no | — |
| 27 | C3⋊Dic3 | C22×C5 | 1 | 1 | yes | characteristic |
| 28 | C3×Dic3 | — | 2 | 1 | no | — |
| 29 | C2×C3×C5 | — | 2 | 1 | no | — |
| 30 | C2×C3×C5 | — | 2 | 1 | no | — |
| 31 | C2×C3×C5 | — | 12 | 1 | no | — |
| 32 | C5×D3 | — | 4 | 1 | no | — |
| 33 | #67 | — | 6 | 1 | no | — |
| 34 | Dic6 | — | 6 | 1 | no | — |
| 35 | C22×C5 | — | 6 | 1 | no | — |
| 36 | C4×C5 | — | 6 | 1 | no | — |
| 37 | C4×C5 | — | 9 | 1 | no | — |
| 38 | C2×C32 | C5×D4 | 1 | 1 | yes | characteristic |
| 39 | C3×D3 | — | 4 | 1 | no | — |
| 40 | SD16 | — | 9 | 1 | no | Sylow |
| 41 | C3×C5 | — | 2 | 1 | no | — |
| 42 | C3×C5 | — | 2 | 1 | no | — |
| 43 | C22×C3 | — | 6 | 1 | no | — |
| 44 | C2×D3 | — | 2 | 1 | no | — |
| 45 | C3×C4 | — | 6 | 1 | no | — |
| 46 | Dic3 | — | 2 | 1 | no | — |
| 47 | Dic3 | — | 6 | 1 | no | — |
| 48 | Dic3 | — | 6 | 1 | no | — |
| 49 | C2×C5 | — | 12 | 1 | no | — |
| 50 | C2×C5 | GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
| 51 | C32 | C5×SD16 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 52 | Q8 | — | 9 | 1 | no | — |
| 53 | D4 | — | 9 | 1 | no | — |
| 54 | C8 | — | 9 | 1 | no | — |
| 55 | C2×C3 | — | 2 | 1 | no | — |
| 56 | C2×C3 | — | 2 | 1 | no | — |
| 57 | C2×C3 | — | 12 | 1 | no | — |
| 58 | D3 | — | 4 | 1 | no | — |
| 59 | C5 | #3775 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 60 | C22 | — | 6 | 1 | no | — |
| 61 | C4 | — | 6 | 1 | no | — |
| 62 | C4 | — | 9 | 1 | no | — |
| 63 | C3 | — | 2 | 1 | no | — |
| 64 | C3 | — | 2 | 1 | no | — |
| 65 | C2 | — | 12 | 1 | no | — |
| 66 | C2 | C5×GO+(4,𝔽2) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta