| 1 | C3×C5×D8 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×D40 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#672 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #3958 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 5 | C3×C5×D4 | — | 2 | 1 | no | — |
| 6 | C3×D20 | — | 2 | 1 | no | — |
| 7 | C3×C5×C8 | C22 | 1 | 1 | yes | characteristic |
| 8 | C3×D16 | — | 5 | 1 | no | maximal, Hall |
| 9 | C5×D8 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 10 | D40 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 11 | #672 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 12 | C22×C3×C5 | — | 4 | 1 | no | — |
| 13 | C2×C3×D5 | — | 4 | 1 | no | — |
| 14 | C3×C4×C5 | D4 | 1 | 1 | yes | characteristic |
| 15 | C3×D8 | — | 5 | 1 | no | — |
| 16 | C3×D8 | D5 | 1 | 1 | yes | characteristic, complemented |
| 17 | C3×C16 | — | 5 | 1 | no | — |
| 18 | C5×D4 | — | 2 | 1 | no | — |
| 19 | D20 | — | 2 | 1 | no | — |
| 20 | C5×C8 | C22×C3 | 1 | 1 | yes | characteristic |
| 21 | D16 | — | 5 | 1 | no | Sylow |
| 22 | C2×C3×C5 | — | 8 | 1 | no | — |
| 23 | C2×C3×C5 | D8 | 1 | 1 | yes | characteristic |
| 24 | C3×D5 | — | 8 | 1 | no | — |
| 25 | C3×D4 | — | 2 | 1 | no | — |
| 26 | C3×D4 | — | 10 | 1 | no | — |
| 27 | C3×C8 | C2×D5 | 1 | 1 | yes | characteristic |
| 28 | C22×C5 | — | 4 | 1 | no | — |
| 29 | C2×D5 | — | 4 | 1 | no | — |
| 30 | C4×C5 | C3×D4 | 1 | 1 | yes | characteristic |
| 31 | D8 | — | 5 | 1 | no | — |
| 32 | D8 | C3×D5 | 1 | 1 | yes | characteristic, complemented |
| 33 | C16 | — | 5 | 1 | no | — |
| 34 | C3×C5 | D16 | 1 | 1 | yes | characteristic, complemented, Hall |
| 35 | C22×C3 | — | 4 | 1 | no | — |
| 36 | C22×C3 | — | 20 | 1 | no | — |
| 37 | C3×C4 | C22⋊D5 | 1 | 1 | yes | characteristic |
| 38 | C2×C5 | — | 8 | 1 | no | — |
| 39 | C2×C5 | C3×D8 | 1 | 1 | yes | characteristic |
| 40 | D5 | — | 8 | 1 | no | — |
| 41 | D4 | — | 2 | 1 | no | — |
| 42 | D4 | — | 10 | 1 | no | — |
| 43 | C8 | C2×C3×D5 | 1 | 1 | yes | characteristic |
| 44 | C2×C3 | — | 8 | 1 | no | — |
| 45 | C2×C3 | — | 40 | 1 | no | — |
| 46 | C2×C3 | #686 | 1 | 1 | yes | characteristic |
| 47 | C5 | C3×D16 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 48 | C22 | — | 4 | 1 | no | — |
| 49 | C22 | — | 20 | 1 | no | — |
| 50 | C4 | C3×C22⋊D5 | 1 | 1 | yes | characteristic |
| 51 | C3 | #3958 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 52 | C2 | — | 8 | 1 | no | — |
| 53 | C2 | — | 40 | 1 | no | — |
| 54 | C2 | C3×#686 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta