| 1 | C5×C7×A5 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 2 | C3×C5×C7×A4 | — | 5 | 1 | no | maximal |
| 3 | C3×C7×A5 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 4 | C3×C5×C7×D5 | — | 6 | 1 | no | maximal |
| 5 | C3×C5×A5 | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 6 | C3×C5×D3×C7 | — | 10 | 1 | no | maximal |
| 7 | C3×C52×C7 | — | 6 | 1 | no | — |
| 8 | C22×C3×C5×C7 | — | 5 | 1 | no | — |
| 9 | C5×C7×A4 | — | 5 | 1 | no | — |
| 10 | C5×C7×A4 | — | 5 | 2 | no | — |
| 11 | C7×A5 | C3×C5 | 1 | 1 | yes | characteristic, direct product factor |
| 12 | C5×C7×D5 | — | 6 | 1 | no | — |
| 13 | C32×C5×C7 | — | 10 | 1 | no | — |
| 14 | C5×A5 | C3×C7 | 1 | 1 | yes | characteristic, direct product factor |
| 15 | C3×C7×A4 | — | 5 | 1 | no | Hall |
| 16 | C2×C3×C5×C7 | — | 15 | 1 | no | — |
| 17 | C5×D3×C7 | — | 10 | 1 | no | — |
| 18 | C3×C7×D5 | — | 6 | 1 | no | — |
| 19 | C3×C5×A4 | — | 5 | 1 | no | — |
| 20 | C3×A5 | C5×C7 | 1 | 1 | yes | characteristic, direct product factor |
| 21 | C52×C7 | — | 6 | 1 | no | Hall |
| 22 | C3×C5×D5 | — | 6 | 1 | no | — |
| 23 | C22×C5×C7 | — | 5 | 1 | no | — |
| 24 | C3×D3×C7 | — | 10 | 1 | no | — |
| 25 | C3×C5×C7 | — | 6 | 1 | no | — |
| 26 | C3×C5×C7 | — | 10 | 1 | no | — |
| 27 | C3×C5×C7 | — | 12 | 2 | no | — |
| 28 | C3×C5×C7 | — | 20 | 1 | no | — |
| 29 | C3×C5×C7 | A5 | 1 | 1 | yes | maximal normal, characteristic, direct product factor |
| 30 | C3×C5×D3 | — | 10 | 1 | no | — |
| 31 | C22×C3×C7 | — | 5 | 1 | no | — |
| 32 | C7×A4 | — | 5 | 1 | no | — |
| 33 | C7×A4 | — | 5 | 2 | no | — |
| 34 | C3×C52 | — | 6 | 1 | no | — |
| 35 | C2×C5×C7 | — | 15 | 1 | no | — |
| 36 | C7×D5 | — | 6 | 1 | no | — |
| 37 | C32×C7 | — | 10 | 1 | no | Hall |
| 38 | C22×C3×C5 | — | 5 | 1 | no | — |
| 39 | C5×A4 | — | 5 | 1 | no | — |
| 40 | C5×A4 | — | 5 | 2 | no | — |
| 41 | A5 | C3×C5×C7 | 1 | 1 | yes | characteristic, direct product factor |
| 42 | C5×D5 | — | 6 | 1 | no | — |
| 43 | C32×C5 | — | 10 | 1 | no | — |
| 44 | C2×C3×C7 | — | 15 | 1 | no | — |
| 45 | D3×C7 | — | 10 | 1 | no | — |
| 46 | C3×A4 | — | 5 | 1 | no | Hall |
| 47 | C5×C7 | — | 6 | 1 | no | — |
| 48 | C5×C7 | — | 12 | 2 | no | — |
| 49 | C5×C7 | C3×A5 | 1 | 1 | yes | characteristic, direct product factor |
| 50 | C2×C3×C5 | — | 15 | 1 | no | — |
| 51 | C3×D5 | — | 6 | 1 | no | — |
| 52 | C5×D3 | — | 10 | 1 | no | — |
| 53 | C22×C7 | — | 5 | 1 | no | Hall |
| 54 | C52 | — | 6 | 1 | no | Sylow |
| 55 | C3×C7 | — | 10 | 1 | no | — |
| 56 | C3×C7 | — | 20 | 1 | no | — |
| 57 | C3×C7 | C5×A5 | 1 | 1 | yes | characteristic, direct product factor |
| 58 | C22×C5 | — | 5 | 1 | no | — |
| 59 | C3×D3 | — | 10 | 1 | no | — |
| 60 | C3×C5 | — | 6 | 1 | no | — |
| 61 | C3×C5 | — | 10 | 1 | no | — |
| 62 | C3×C5 | — | 12 | 2 | no | — |
| 63 | C3×C5 | — | 20 | 1 | no | — |
| 64 | C3×C5 | C7×A5 | 1 | 1 | yes | characteristic, direct product factor |
| 65 | C2×C7 | — | 15 | 1 | no | — |
| 66 | C22×C3 | — | 5 | 1 | no | — |
| 67 | A4 | — | 5 | 1 | no | — |
| 68 | A4 | — | 5 | 2 | no | — |
| 69 | C2×C5 | — | 15 | 1 | no | — |
| 70 | D5 | — | 6 | 1 | no | — |
| 71 | C32 | — | 10 | 1 | no | Sylow |
| 72 | C7 | C3×C5×A5 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 73 | C2×C3 | — | 15 | 1 | no | — |
| 74 | D3 | — | 10 | 1 | no | — |
| 75 | C5 | — | 6 | 1 | no | — |
| 76 | C5 | — | 12 | 2 | no | — |
| 77 | C5 | C3×C7×A5 | 1 | 1 | yes | characteristic, direct product factor |
| 78 | C22 | — | 5 | 1 | no | Sylow |
| 79 | C3 | — | 10 | 1 | no | — |
| 80 | C3 | — | 20 | 1 | no | — |
| 81 | C3 | C5×C7×A5 | 1 | 1 | yes | characteristic, direct product factor |
| 82 | C2 | — | 15 | 1 | no | — |
Finite Group Databasebeta