| 1 | C5×D100 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×Dic50 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×C8×C25 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×C5×D25 | — | 2 | 1 | no | — |
| 5 | C4×C5×C25 | C22 | 1 | 1 | yes | characteristic |
| 6 | C5×Dic25 | — | 2 | 1 | no | — |
| 7 | C5×#677 | — | 5 | 1 | no | maximal |
| 8 | #87713 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 9 | C2×C5×C25 | D4 | 1 | 1 | yes | characteristic |
| 10 | C5×D25 | — | 4 | 1 | no | — |
| 11 | C5×D20 | — | 5 | 1 | no | — |
| 12 | C5×Dic10 | — | 5 | 1 | no | — |
| 13 | C52×C8 | D5 | 1 | 1 | yes | characteristic |
| 14 | D100 | C2×C5 | 1 | 1 | yes | characteristic |
| 15 | Dic50 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 16 | C8×C25 | — | 2 | 2 | no | — |
| 17 | C8×C25 | C2×C5 | 1 | 1 | yes | characteristic, complemented |
| 18 | C5×C25 | SD16 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 19 | C2×C5×D5 | — | 10 | 1 | no | — |
| 20 | C4×C52 | C2×D5 | 1 | 1 | yes | characteristic |
| 21 | C5×Dic5 | — | 10 | 1 | no | — |
| 22 | C2×D25 | — | 2 | 1 | no | — |
| 23 | C4×C25 | — | 2 | 2 | no | — |
| 24 | C4×C25 | C22×C5 | 1 | 1 | yes | characteristic |
| 25 | Dic25 | — | 2 | 1 | no | — |
| 26 | C5×SD16 | — | 25 | 1 | no | — |
| 27 | #677 | — | 5 | 1 | no | — |
| 28 | C2×C52 | D20 | 1 | 1 | yes | characteristic |
| 29 | C5×D5 | — | 20 | 1 | no | — |
| 30 | C2×C25 | — | 2 | 2 | no | — |
| 31 | C2×C25 | C5×D4 | 1 | 1 | yes | characteristic |
| 32 | D25 | — | 4 | 1 | no | — |
| 33 | C5×Q8 | — | 25 | 1 | no | — |
| 34 | C5×D4 | — | 25 | 1 | no | — |
| 35 | D20 | — | 5 | 1 | no | — |
| 36 | Dic10 | — | 5 | 1 | no | — |
| 37 | C5×C8 | — | 2 | 2 | no | — |
| 38 | C5×C8 | D25 | 1 | 1 | yes | characteristic, complemented |
| 39 | C5×C8 | C5×D5 | 1 | 1 | yes | characteristic |
| 40 | C52 | #677 | 1 | 1 | yes | characteristic |
| 41 | C25 | — | 2 | 2 | no | — |
| 42 | C25 | C5×SD16 | 1 | 1 | yes | characteristic, complemented |
| 43 | C22×C5 | — | 50 | 1 | no | — |
| 44 | C2×D5 | — | 10 | 1 | no | — |
| 45 | C4×C5 | — | 2 | 2 | no | — |
| 46 | C4×C5 | — | 50 | 1 | no | — |
| 47 | C4×C5 | C2×D25 | 1 | 1 | yes | characteristic |
| 48 | C4×C5 | C2×C5×D5 | 1 | 1 | yes | characteristic |
| 49 | Dic5 | — | 10 | 1 | no | — |
| 50 | SD16 | — | 25 | 1 | no | Sylow |
| 51 | C2×C5 | — | 2 | 2 | no | — |
| 52 | C2×C5 | — | 100 | 1 | no | — |
| 53 | C2×C5 | D100 | 1 | 1 | yes | characteristic |
| 54 | C2×C5 | C5×D20 | 1 | 1 | yes | characteristic |
| 55 | D5 | — | 20 | 1 | no | — |
| 56 | Q8 | — | 25 | 1 | no | — |
| 57 | D4 | — | 25 | 1 | no | — |
| 58 | C8 | C5×D25 | 1 | 1 | yes | characteristic, complemented |
| 59 | C5 | — | 2 | 2 | no | — |
| 60 | C5 | #87713 | 1 | 1 | yes | characteristic, direct product factor |
| 61 | C5 | C5×#677 | 1 | 1 | yes | characteristic |
| 62 | C22 | — | 50 | 1 | no | — |
| 63 | C4 | — | 50 | 1 | no | — |
| 64 | C4 | C2×C5×D25 | 1 | 1 | yes | characteristic |
| 65 | C2 | — | 100 | 1 | no | — |
| 66 | C2 | C5×D100 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta