| 1 | C5×#235 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C5×M16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C4×C5×Dic3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C5×#104 | — | 3 | 1 | no | maximal, Hall |
| 5 | C2×C3×C4×C5 | C22 | 1 | 1 | yes | characteristic |
| 6 | C5×#67 | — | 2 | 1 | no | — |
| 7 | C2×C5×Dic3 | — | 2 | 1 | no | — |
| 8 | C5×D12 | C4 | 1 | 1 | yes | characteristic, complemented |
| 9 | C4×C5×D3 | — | 2 | 1 | no | — |
| 10 | C5×Dic6 | C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | C3×C5×C8 | — | 2 | 1 | no | — |
| 12 | #825 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 13 | C5×#41 | — | 3 | 1 | no | — |
| 14 | C5×M16 | D3 | 1 | 1 | yes | characteristic, complemented |
| 15 | C42×C5 | — | 3 | 1 | no | — |
| 16 | C22×C3×C5 | D4 | 1 | 1 | yes | characteristic |
| 17 | C2×C5×D3 | — | 2 | 1 | no | — |
| 18 | C3×C4×C5 | C2×C4 | 1 | 1 | yes | characteristic |
| 19 | C3×C4×C5 | D4 | 1 | 1 | yes | characteristic |
| 20 | C5×Dic3 | — | 2 | 2 | no | — |
| 21 | C5×Dic3 | — | 2 | 1 | no | — |
| 22 | #235 | C2×C5 | 1 | 1 | yes | characteristic |
| 23 | C3×M16 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 24 | C4×Dic3 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 25 | C5×Q8 | — | 3 | 1 | no | — |
| 26 | C5×D4 | — | 3 | 1 | no | — |
| 27 | C5×D4 | — | 6 | 1 | no | — |
| 28 | C2×C4×C5 | — | 6 | 1 | no | — |
| 29 | C2×C4×C5 | — | 6 | 1 | no | — |
| 30 | C2×C4×C5 | C2×D3 | 1 | 1 | yes | characteristic |
| 31 | C5×C8 | — | 2 | 1 | no | — |
| 32 | #104 | — | 3 | 1 | no | Sylow |
| 33 | C2×C3×C5 | — | 2 | 1 | no | — |
| 34 | C2×C3×C5 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 35 | C5×D3 | — | 4 | 1 | no | — |
| 36 | C2×C3×C4 | C22×C5 | 1 | 1 | yes | characteristic |
| 37 | #67 | — | 2 | 1 | no | — |
| 38 | C2×Dic3 | — | 2 | 1 | no | — |
| 39 | D12 | C4×C5 | 1 | 1 | yes | characteristic, complemented |
| 40 | C4×D3 | — | 2 | 1 | no | — |
| 41 | Dic6 | C4×C5 | 1 | 1 | yes | characteristic, complemented |
| 42 | C3×C8 | — | 2 | 1 | no | — |
| 43 | C22×C5 | — | 6 | 1 | no | — |
| 44 | C22×C5 | D12 | 1 | 1 | yes | characteristic |
| 45 | C4×C5 | — | 6 | 2 | no | — |
| 46 | C4×C5 | — | 6 | 1 | no | — |
| 47 | C4×C5 | C4×D3 | 1 | 1 | yes | characteristic |
| 48 | C4×C5 | #67 | 1 | 1 | yes | characteristic |
| 49 | #41 | — | 3 | 1 | no | — |
| 50 | M16 | C5×D3 | 1 | 1 | yes | characteristic, complemented |
| 51 | C42 | — | 3 | 1 | no | — |
| 52 | C3×C5 | #104 | 1 | 1 | yes | characteristic, complemented, Hall |
| 53 | C22×C3 | C5×D4 | 1 | 1 | yes | characteristic |
| 54 | C2×D3 | — | 2 | 1 | no | — |
| 55 | C3×C4 | C2×C4×C5 | 1 | 1 | yes | characteristic |
| 56 | C3×C4 | C5×D4 | 1 | 1 | yes | characteristic |
| 57 | Dic3 | — | 2 | 2 | no | — |
| 58 | Dic3 | — | 2 | 1 | no | — |
| 59 | C2×C5 | — | 2 | 1 | no | — |
| 60 | C2×C5 | — | 12 | 1 | no | — |
| 61 | C2×C5 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 62 | Q8 | — | 3 | 1 | no | — |
| 63 | D4 | — | 3 | 1 | no | — |
| 64 | D4 | — | 6 | 1 | no | — |
| 65 | C2×C4 | — | 6 | 1 | no | — |
| 66 | C2×C4 | — | 6 | 1 | no | — |
| 67 | C2×C4 | C2×C5×D3 | 1 | 1 | yes | characteristic |
| 68 | C8 | — | 2 | 1 | no | — |
| 69 | C2×C3 | — | 2 | 1 | no | — |
| 70 | C2×C3 | C5×C22⋊C4 | 1 | 1 | yes | characteristic |
| 71 | D3 | — | 4 | 1 | no | — |
| 72 | C5 | #825 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 73 | C22 | — | 6 | 1 | no | — |
| 74 | C22 | C5×D12 | 1 | 1 | yes | characteristic |
| 75 | C4 | — | 6 | 2 | no | — |
| 76 | C4 | — | 6 | 1 | no | — |
| 77 | C4 | C4×C5×D3 | 1 | 1 | yes | characteristic |
| 78 | C4 | C5×#67 | 1 | 1 | yes | characteristic |
| 79 | C3 | C5×#104 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 80 | C2 | — | 2 | 1 | no | — |
| 81 | C2 | — | 12 | 1 | no | — |
| 82 | C2 | C5×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta