| 1 | C3×C7×D16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×D112 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×C7⋊C32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #89314 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 5 | C3×C7×D8 | — | 2 | 1 | no | — |
| 6 | C3×D56 | — | 2 | 1 | no | — |
| 7 | C3×C7×C16 | C22 | 1 | 1 | yes | characteristic |
| 8 | C7×D16 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 9 | D112 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 10 | C7⋊C32 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 11 | C3×D32 | — | 7 | 1 | no | maximal, Hall |
| 12 | C3×C7×D4 | — | 4 | 1 | no | — |
| 13 | C3×D28 | — | 4 | 1 | no | — |
| 14 | C3×C7×C8 | D4 | 1 | 1 | yes | characteristic |
| 15 | C7×D8 | — | 2 | 1 | no | — |
| 16 | D56 | — | 2 | 1 | no | — |
| 17 | C7×C16 | C22×C3 | 1 | 1 | yes | characteristic |
| 18 | C3×D16 | — | 7 | 1 | no | — |
| 19 | C3×D16 | D7 | 1 | 1 | yes | characteristic, complemented |
| 20 | C3×C32 | — | 7 | 1 | no | — |
| 21 | C22×C3×C7 | — | 8 | 1 | no | — |
| 22 | C2×C3×D7 | — | 8 | 1 | no | — |
| 23 | C3×C4×C7 | D8 | 1 | 1 | yes | characteristic |
| 24 | D32 | — | 7 | 1 | no | Sylow |
| 25 | C7×D4 | — | 4 | 1 | no | — |
| 26 | D28 | — | 4 | 1 | no | — |
| 27 | C7×C8 | C3×D4 | 1 | 1 | yes | characteristic |
| 28 | C3×D8 | — | 2 | 1 | no | — |
| 29 | C3×D8 | — | 14 | 1 | no | — |
| 30 | C3×C16 | C2×D7 | 1 | 1 | yes | characteristic |
| 31 | C2×C3×C7 | — | 16 | 1 | no | — |
| 32 | C2×C3×C7 | D16 | 1 | 1 | yes | characteristic |
| 33 | C3×D7 | — | 16 | 1 | no | — |
| 34 | D16 | — | 7 | 1 | no | — |
| 35 | D16 | C3×D7 | 1 | 1 | yes | characteristic, complemented |
| 36 | C32 | — | 7 | 1 | no | — |
| 37 | C22×C7 | — | 8 | 1 | no | — |
| 38 | C2×D7 | — | 8 | 1 | no | — |
| 39 | C4×C7 | C3×D8 | 1 | 1 | yes | characteristic |
| 40 | C3×D4 | — | 4 | 1 | no | — |
| 41 | C3×D4 | — | 28 | 1 | no | — |
| 42 | C3×C8 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 43 | C3×C7 | D32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 44 | D8 | — | 2 | 1 | no | — |
| 45 | D8 | — | 14 | 1 | no | — |
| 46 | C16 | C2×C3×D7 | 1 | 1 | yes | characteristic |
| 47 | C2×C7 | — | 16 | 1 | no | — |
| 48 | C2×C7 | C3×D16 | 1 | 1 | yes | characteristic |
| 49 | D7 | — | 16 | 1 | no | — |
| 50 | C22×C3 | — | 8 | 1 | no | — |
| 51 | C22×C3 | — | 56 | 1 | no | — |
| 52 | C3×C4 | #1141 | 1 | 1 | yes | characteristic |
| 53 | D4 | — | 4 | 1 | no | — |
| 54 | D4 | — | 28 | 1 | no | — |
| 55 | C8 | C3×C22⋊D7 | 1 | 1 | yes | characteristic |
| 56 | C7 | C3×D32 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 57 | C2×C3 | — | 16 | 1 | no | — |
| 58 | C2×C3 | — | 112 | 1 | no | — |
| 59 | C2×C3 | #6400 | 1 | 1 | yes | characteristic |
| 60 | C22 | — | 8 | 1 | no | — |
| 61 | C22 | — | 56 | 1 | no | — |
| 62 | C4 | C3×#1141 | 1 | 1 | yes | characteristic |
| 63 | C3 | #89314 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 64 | C2 | — | 16 | 1 | no | — |
| 65 | C2 | — | 112 | 1 | no | — |
| 66 | C2 | C3×#6400 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta