| 1 | C2×C7×C23×C13⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×Dic299 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C7×C23×C13⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C2×C7×C13×C23 | C2×C3 | 1 | 1 | yes | characteristic |
| 5 | C23⋊(Dic13⋊C3) | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 6 | C7×C13×C23 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 7 | C3×C7×Dic23 | — | 13 | 1 | no | maximal, Hall |
| 8 | C2×C23×C13⋊C3 | C2×C7 | 1 | 1 | yes | characteristic |
| 9 | Dic299 | C3×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C7×Dic13⋊C3 | — | 23 | 1 | no | maximal, Hall |
| 11 | C2×C3×C7×C23 | — | 13 | 1 | no | — |
| 12 | C23×C13⋊C3 | C4×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 13 | C7×Dic23 | — | 13 | 1 | no | Hall |
| 14 | C2×C13×C23 | C2×C3×C7 | 1 | 1 | yes | characteristic |
| 15 | C2×C7×C13⋊C3 | D23 | 1 | 1 | yes | characteristic |
| 16 | C3×C7×C23 | — | 13 | 1 | no | Hall |
| 17 | C7×Dic13 | — | 23 | 1 | no | Hall |
| 18 | C2×C7×C23 | D13⋊C3 | 1 | 1 | yes | characteristic |
| 19 | C13×C23 | C3×C4×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | C3×Dic23 | — | 13 | 1 | no | Hall |
| 21 | C7×C13⋊C3 | Dic23 | 1 | 1 | yes | characteristic, complemented, Hall |
| 22 | C2×C7×C13 | C3×D23 | 1 | 1 | yes | characteristic |
| 23 | C7×C23 | Dic13⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 24 | Dic13⋊C3 | — | 23 | 1 | no | Hall |
| 25 | C2×C3×C23 | — | 13 | 1 | no | — |
| 26 | Dic23 | — | 13 | 1 | no | Hall |
| 27 | C7×C13 | C3×Dic23 | 1 | 1 | yes | characteristic, complemented, Hall |
| 28 | C3×C4×C7 | — | 299 | 1 | no | Hall |
| 29 | C2×C13⋊C3 | C7×D23 | 1 | 1 | yes | characteristic |
| 30 | C3×C23 | — | 13 | 1 | no | Hall |
| 31 | Dic13 | — | 23 | 1 | no | Hall |
| 32 | C2×C23 | C7×D13⋊C3 | 1 | 1 | yes | characteristic |
| 33 | C2×C3×C7 | — | 13 | 1 | no | — |
| 34 | C13⋊C3 | C7×Dic23 | 1 | 1 | yes | characteristic, complemented, Hall |
| 35 | C4×C7 | — | 299 | 1 | no | Hall |
| 36 | C2×C13 | C3×C7×D23 | 1 | 1 | yes | characteristic |
| 37 | C23 | C7×Dic13⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 38 | C3×C7 | — | 13 | 1 | no | Hall |
| 39 | C2×C7 | C23⋊(D13⋊C3) | 1 | 1 | yes | characteristic |
| 40 | C13 | C3×C7×Dic23 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 41 | C3×C4 | — | 299 | 1 | no | Hall |
| 42 | C7 | C23⋊(Dic13⋊C3) | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 43 | C2×C3 | — | 13 | 1 | no | — |
| 44 | C4 | — | 299 | 1 | no | Sylow |
| 45 | C3 | — | 13 | 1 | no | Sylow |
| 46 | C2 | C7×C23⋊(D13⋊C3) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta