| 1 | C3×C7×Q32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×D112 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×C7⋊C32 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #89316 | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 5 | C3×C7×Q16 | — | 2 | 1 | no | — |
| 6 | C3×D56 | — | 2 | 1 | no | — |
| 7 | C3×C7×C16 | C22 | 1 | 1 | yes | characteristic |
| 8 | C7×Q32 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 9 | D112 | C2×C3 | 1 | 1 | yes | characteristic |
| 10 | C7⋊C32 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 11 | C3×SD64 | — | 7 | 1 | no | maximal, Hall |
| 12 | C3×C7×Q8 | — | 4 | 1 | no | — |
| 13 | C3×D28 | — | 4 | 1 | no | — |
| 14 | C3×C7×C8 | D4 | 1 | 1 | yes | characteristic |
| 15 | C7×Q16 | — | 2 | 1 | no | — |
| 16 | D56 | — | 2 | 1 | no | — |
| 17 | C7×C16 | C22×C3 | 1 | 1 | yes | characteristic |
| 18 | C3×Q32 | D7 | 1 | 1 | yes | characteristic, complemented |
| 19 | C3×D16 | — | 7 | 1 | no | — |
| 20 | C3×C32 | — | 7 | 1 | no | — |
| 21 | C2×C3×D7 | — | 8 | 1 | no | — |
| 22 | C3×C4×C7 | — | 8 | 1 | no | — |
| 23 | C3×C4×C7 | D8 | 1 | 1 | yes | characteristic |
| 24 | SD64 | — | 7 | 1 | no | Sylow |
| 25 | C7×Q8 | — | 4 | 1 | no | — |
| 26 | D28 | — | 4 | 1 | no | — |
| 27 | C7×C8 | C3×D4 | 1 | 1 | yes | characteristic |
| 28 | C3×Q16 | — | 2 | 1 | no | — |
| 29 | C3×D8 | — | 14 | 1 | no | — |
| 30 | C3×C16 | C2×D7 | 1 | 1 | yes | characteristic |
| 31 | C2×C3×C7 | D16 | 1 | 1 | yes | characteristic |
| 32 | C3×D7 | — | 16 | 1 | no | — |
| 33 | Q32 | C3×D7 | 1 | 1 | yes | characteristic, complemented |
| 34 | D16 | — | 7 | 1 | no | — |
| 35 | C32 | — | 7 | 1 | no | — |
| 36 | C2×D7 | — | 8 | 1 | no | — |
| 37 | C4×C7 | — | 8 | 1 | no | — |
| 38 | C4×C7 | C3×D8 | 1 | 1 | yes | characteristic |
| 39 | C3×Q8 | — | 4 | 1 | no | — |
| 40 | C3×D4 | — | 28 | 1 | no | — |
| 41 | C3×C8 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 42 | C3×C7 | SD64 | 1 | 1 | yes | characteristic, complemented, Hall |
| 43 | Q16 | — | 2 | 1 | no | — |
| 44 | D8 | — | 14 | 1 | no | — |
| 45 | C16 | C2×C3×D7 | 1 | 1 | yes | characteristic |
| 46 | C2×C7 | C3×D16 | 1 | 1 | yes | characteristic |
| 47 | D7 | — | 16 | 1 | no | — |
| 48 | C22×C3 | — | 56 | 1 | no | — |
| 49 | C3×C4 | — | 8 | 1 | no | — |
| 50 | C3×C4 | #1141 | 1 | 1 | yes | characteristic |
| 51 | Q8 | — | 4 | 1 | no | — |
| 52 | D4 | — | 28 | 1 | no | — |
| 53 | C8 | C3×C22⋊D7 | 1 | 1 | yes | characteristic |
| 54 | C7 | C3×SD64 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 55 | C2×C3 | — | 112 | 1 | no | — |
| 56 | C2×C3 | #6400 | 1 | 1 | yes | characteristic |
| 57 | C22 | — | 56 | 1 | no | — |
| 58 | C4 | — | 8 | 1 | no | — |
| 59 | C4 | C3×#1141 | 1 | 1 | yes | characteristic |
| 60 | C3 | #89316 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 61 | C2 | — | 112 | 1 | no | — |
| 62 | C2 | C3×#6400 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta