| 1 | C2×C5×C7×C73⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×Dic365 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C5×C7×C73⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C7×Dic73⋊C3 | — | 5 | 1 | no | maximal, Hall |
| 5 | C2×C5×C7×C73 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | Dic365⋊C3 | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 7 | C2×C7×C73⋊C3 | D5 | 1 | 1 | yes | characteristic |
| 8 | C5×C7×C73 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | C2×C5×C73⋊C3 | C2×C7 | 1 | 1 | yes | characteristic |
| 10 | C7×Dic73 | — | 5 | 1 | no | Hall |
| 11 | C7×C73⋊C3 | Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 12 | Dic365 | C3×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 13 | C5×C73⋊C3 | C4×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 14 | C2×C7×C73 | C3×D5 | 1 | 1 | yes | characteristic |
| 15 | Dic73⋊C3 | — | 5 | 1 | no | Hall |
| 16 | C2×C5×C73 | C2×C3×C7 | 1 | 1 | yes | characteristic |
| 17 | C7×C73 | C3×Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C2×C73⋊C3 | C7×D5 | 1 | 1 | yes | characteristic |
| 19 | C3×C7×Dic5 | — | 73 | 1 | no | maximal, Hall |
| 20 | C5×C73 | C3×C4×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 21 | Dic73 | — | 5 | 1 | no | Hall |
| 22 | C73⋊C3 | C7×Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C2×C3×C5×C7 | — | 73 | 1 | no | — |
| 24 | C2×C73 | C3×C7×D5 | 1 | 1 | yes | characteristic |
| 25 | C7×Dic5 | — | 73 | 1 | no | Hall |
| 26 | C3×C5×C7 | — | 73 | 1 | no | Hall |
| 27 | C3×C4×C7 | — | 365 | 1 | no | Hall |
| 28 | C73 | C3×C7×Dic5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 29 | C2×C5×C7 | D73⋊C3 | 1 | 1 | yes | characteristic |
| 30 | C3×Dic5 | — | 73 | 1 | no | Hall |
| 31 | C2×C3×C7 | — | 73 | 1 | no | — |
| 32 | C5×C7 | Dic73⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 33 | C2×C3×C5 | — | 73 | 1 | no | — |
| 34 | C4×C7 | — | 365 | 1 | no | Hall |
| 35 | C3×C7 | — | 73 | 1 | no | Hall |
| 36 | Dic5 | — | 73 | 1 | no | Hall |
| 37 | C3×C5 | — | 73 | 1 | no | Hall |
| 38 | C2×C7 | C5⋊(D73⋊C3) | 1 | 1 | yes | characteristic |
| 39 | C3×C4 | — | 365 | 1 | no | Hall |
| 40 | C2×C5 | C7×D73⋊C3 | 1 | 1 | yes | characteristic |
| 41 | C7 | Dic365⋊C3 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 42 | C2×C3 | — | 73 | 1 | no | — |
| 43 | C5 | C7×Dic73⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 44 | C4 | — | 365 | 1 | no | Sylow |
| 45 | C3 | — | 73 | 1 | no | Sylow |
| 46 | C2 | C7×C5⋊(D73⋊C3) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta