| 1 | C23⋊(D13⋊C9) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C23×D13⋊C9 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | D23×C13⋊C9 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×D13×D23 | C3 | 1 | 1 | yes | maximal, characteristic |
| 5 | C23×C13⋊C9 | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 6 | C3×D299 | C2×C3 | 1 | 1 | yes | characteristic |
| 7 | C3×C23×D13 | C2×C3 | 1 | 1 | yes | characteristic |
| 8 | C3×C13×D23 | C2×C3 | 1 | 1 | yes | characteristic |
| 9 | D13×D23 | C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C3×C13×C23 | C22×C3 | 1 | 1 | yes | characteristic |
| 11 | C2×C9×D23 | — | 13 | 1 | no | maximal, Hall |
| 12 | D299 | C2×C9 | 1 | 1 | yes | characteristic, complemented |
| 13 | C13×D23 | C2×C9 | 1 | 1 | yes | characteristic, complemented |
| 14 | C23×D13 | C2×C9 | 1 | 1 | yes | characteristic, complemented |
| 15 | C2×D13⋊C9 | — | 23 | 1 | no | maximal, Hall |
| 16 | C2×C9×C23 | — | 13 | 1 | no | — |
| 17 | C9×D23 | — | 13 | 1 | no | — |
| 18 | C9×D23 | — | 13 | 1 | no | — |
| 19 | C13×C23 | C22×C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | C2×C3×D23 | — | 13 | 1 | no | — |
| 21 | C2×C13⋊C9 | — | 23 | 1 | no | — |
| 22 | D13⋊C9 | — | 23 | 1 | no | — |
| 23 | D13⋊C9 | D23 | 1 | 1 | yes | characteristic, direct product factor |
| 24 | C9×C23 | — | 13 | 1 | no | Hall |
| 25 | C2×C3×D13 | — | 23 | 1 | no | — |
| 26 | C2×C3×C23 | — | 13 | 1 | no | — |
| 27 | C3×D23 | — | 13 | 1 | no | — |
| 28 | C3×D23 | D13⋊C3 | 1 | 1 | yes | characteristic |
| 29 | C13⋊C9 | C2×D23 | 1 | 1 | yes | characteristic, complemented, Hall |
| 30 | C2×D23 | — | 13 | 1 | no | Hall |
| 31 | C2×C3×C13 | — | 23 | 1 | no | — |
| 32 | C3×D13 | — | 23 | 1 | no | — |
| 33 | C3×D13 | C3×D23 | 1 | 1 | yes | characteristic |
| 34 | C3×C23 | C2×D13⋊C3 | 1 | 1 | yes | characteristic |
| 35 | C2×D13 | — | 23 | 1 | no | Hall |
| 36 | C2×C23 | — | 13 | 1 | no | — |
| 37 | D23 | — | 13 | 1 | no | — |
| 38 | D23 | D13⋊C9 | 1 | 1 | yes | characteristic, direct product factor |
| 39 | C3×C13 | C2×C3×D23 | 1 | 1 | yes | characteristic |
| 40 | C22×C9 | — | 299 | 1 | no | Hall |
| 41 | C2×C13 | — | 23 | 1 | no | — |
| 42 | D13 | — | 23 | 1 | no | — |
| 43 | D13 | C9×D23 | 1 | 1 | yes | characteristic, complemented |
| 44 | C23 | C2×D13⋊C9 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 45 | C2×C9 | — | 13 | 1 | no | — |
| 46 | C2×C9 | — | 299 | 1 | no | — |
| 47 | C2×C9 | — | 299 | 1 | no | — |
| 48 | C13 | C2×C9×D23 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 49 | C22×C3 | — | 299 | 1 | no | — |
| 50 | C9 | — | 13 | 1 | no | Sylow |
| 51 | C2×C3 | — | 13 | 1 | no | — |
| 52 | C2×C3 | — | 23 | 1 | no | — |
| 53 | C2×C3 | — | 299 | 1 | no | — |
| 54 | C22 | — | 299 | 1 | no | Sylow |
| 55 | C3 | D23×D13⋊C3 | 1 | 1 | yes | characteristic |
| 56 | C2 | — | 13 | 1 | no | — |
| 57 | C2 | — | 23 | 1 | no | — |
| 58 | C2 | — | 299 | 1 | no | — |
Finite Group Databasebeta