| 1 | C7×C29×D15 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C5×C7×D87 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C7×D145 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C7×D5×D29 | — | 3 | 1 | no | maximal, Hall |
| 5 | C3×C5×C7×C29 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 6 | D3×C7×D29 | — | 5 | 1 | no | maximal, Hall |
| 7 | C7×D145 | D3 | 1 | 1 | yes | characteristic, complemented |
| 8 | C7×D5×C29 | — | 3 | 1 | no | — |
| 9 | C5×C7×D29 | — | 3 | 1 | no | — |
| 10 | D15⋊D29 | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 11 | C7×D87 | D5 | 1 | 1 | yes | characteristic, complemented |
| 12 | D3×C7×C29 | — | 5 | 1 | no | — |
| 13 | C3×C7×D29 | — | 5 | 1 | no | — |
| 14 | C5×C7×C29 | C2×D3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 15 | C29×D15 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 16 | C5×D87 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 17 | C3×D145 | C2×C7 | 1 | 1 | yes | characteristic, complemented |
| 18 | C2×C7×D29 | — | 15 | 1 | no | Hall |
| 19 | C3×C7×C29 | C2×D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | D5×D29 | — | 3 | 1 | no | Hall |
| 21 | C3×C5×C29 | C22×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 22 | D3×C7×D5 | — | 29 | 1 | no | maximal, Hall |
| 23 | C2×C7×C29 | — | 15 | 1 | no | — |
| 24 | C7×D29 | — | 3 | 1 | no | — |
| 25 | C7×D29 | — | 5 | 1 | no | — |
| 26 | D3×D29 | — | 5 | 1 | no | Hall |
| 27 | D145 | D3×C7 | 1 | 1 | yes | characteristic, complemented |
| 28 | C5×D29 | — | 3 | 1 | no | — |
| 29 | D5×C29 | — | 3 | 1 | no | — |
| 30 | C7×D15 | D29 | 1 | 1 | yes | characteristic, complemented |
| 31 | C5×D3×C7 | — | 29 | 1 | no | — |
| 32 | C3×C7×D5 | — | 29 | 1 | no | — |
| 33 | C7×C29 | D3×D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 34 | D87 | C7×D5 | 1 | 1 | yes | characteristic, complemented |
| 35 | C3×D29 | — | 5 | 1 | no | — |
| 36 | D3×C29 | — | 5 | 1 | no | — |
| 37 | C5×C29 | C2×D3×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 38 | C2×C7×D5 | — | 87 | 1 | no | Hall |
| 39 | C2×D29 | — | 15 | 1 | no | Hall |
| 40 | C3×C5×C7 | C2×D29 | 1 | 1 | yes | characteristic, complemented, Hall |
| 41 | C3×C29 | C2×C7×D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 42 | C2×D3×C7 | — | 145 | 1 | no | Hall |
| 43 | C2×C5×C7 | — | 87 | 1 | no | — |
| 44 | C7×D5 | — | 3 | 1 | no | — |
| 45 | C7×D5 | — | 29 | 1 | no | — |
| 46 | D3×D5 | — | 29 | 1 | no | Hall |
| 47 | C2×C29 | — | 15 | 1 | no | — |
| 48 | D29 | — | 3 | 1 | no | — |
| 49 | D29 | — | 5 | 1 | no | — |
| 50 | C2×C3×C7 | — | 145 | 1 | no | — |
| 51 | D3×C7 | — | 5 | 1 | no | — |
| 52 | D3×C7 | — | 29 | 1 | no | — |
| 53 | C5×C7 | D3×D29 | 1 | 1 | yes | characteristic, complemented, Hall |
| 54 | D15 | C7×D29 | 1 | 1 | yes | characteristic, complemented |
| 55 | C3×D5 | — | 29 | 1 | no | — |
| 56 | C5×D3 | — | 29 | 1 | no | — |
| 57 | C29 | D3×C7×D5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 58 | C22×C7 | — | 435 | 1 | no | Hall |
| 59 | C3×C7 | D5×D29 | 1 | 1 | yes | characteristic, complemented, Hall |
| 60 | C2×D5 | — | 87 | 1 | no | Hall |
| 61 | C3×C5 | C2×C7×D29 | 1 | 1 | yes | characteristic, complemented, Hall |
| 62 | C2×C7 | — | 15 | 1 | no | — |
| 63 | C2×C7 | — | 87 | 1 | no | — |
| 64 | C2×C7 | — | 145 | 1 | no | — |
| 65 | C2×D3 | — | 145 | 1 | no | Hall |
| 66 | C2×C5 | — | 87 | 1 | no | — |
| 67 | D5 | — | 3 | 1 | no | — |
| 68 | D5 | — | 29 | 1 | no | — |
| 69 | C7 | D15⋊D29 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 70 | C2×C3 | — | 145 | 1 | no | — |
| 71 | D3 | — | 5 | 1 | no | — |
| 72 | D3 | — | 29 | 1 | no | — |
| 73 | C5 | D3×C7×D29 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 74 | C22 | — | 435 | 1 | no | Sylow |
| 75 | C3 | C7×D5×D29 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 76 | C2 | — | 15 | 1 | no | — |
| 77 | C2 | — | 87 | 1 | no | — |
| 78 | C2 | — | 145 | 1 | no | — |
Finite Group Databasebeta