| 1 | C3×C13×D8 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C13×D24 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C13×C3⋊C16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C13×D16 | — | 3 | 1 | no | maximal, Hall |
| 5 | C3×D4×C13 | — | 2 | 1 | no | — |
| 6 | C13×D12 | — | 2 | 1 | no | — |
| 7 | C3×C8×C13 | C22 | 1 | 1 | yes | characteristic |
| 8 | C13×D8 | — | 3 | 1 | no | — |
| 9 | C13×D8 | D3 | 1 | 1 | yes | characteristic, complemented |
| 10 | C13×C16 | — | 3 | 1 | no | — |
| 11 | C22×C3×C13 | — | 4 | 1 | no | — |
| 12 | C2×D3×C13 | — | 4 | 1 | no | — |
| 13 | C3×C4×C13 | D4 | 1 | 1 | yes | characteristic |
| 14 | D4×C13 | — | 2 | 1 | no | — |
| 15 | D4×C13 | — | 6 | 1 | no | — |
| 16 | C8×C13 | C2×D3 | 1 | 1 | yes | characteristic |
| 17 | #826 | C13 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 18 | C2×C3×C13 | — | 8 | 1 | no | — |
| 19 | C2×C3×C13 | D8 | 1 | 1 | yes | characteristic |
| 20 | D3×C13 | — | 8 | 1 | no | — |
| 21 | C22×C13 | — | 4 | 1 | no | — |
| 22 | C22×C13 | — | 12 | 1 | no | — |
| 23 | C4×C13 | #67 | 1 | 1 | yes | characteristic |
| 24 | C3×D8 | C2×C13 | 1 | 1 | yes | characteristic, complemented |
| 25 | D24 | C2×C13 | 1 | 1 | yes | characteristic, complemented |
| 26 | C3⋊C16 | C2×C13 | 1 | 1 | yes | characteristic, complemented |
| 27 | C3×C13 | D16 | 1 | 1 | yes | characteristic, complemented, Hall |
| 28 | D16 | — | 3 | 1 | no | Sylow |
| 29 | C2×C13 | — | 8 | 1 | no | — |
| 30 | C2×C13 | — | 24 | 1 | no | — |
| 31 | C2×C13 | #213 | 1 | 1 | yes | characteristic |
| 32 | C3×D4 | — | 2 | 1 | no | — |
| 33 | D12 | — | 2 | 1 | no | — |
| 34 | C3×C8 | C22×C13 | 1 | 1 | yes | characteristic |
| 35 | D8 | — | 3 | 1 | no | — |
| 36 | D8 | D3×C13 | 1 | 1 | yes | characteristic, complemented |
| 37 | C16 | — | 3 | 1 | no | — |
| 38 | C13 | #826 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 39 | C22×C3 | — | 4 | 1 | no | — |
| 40 | C2×D3 | — | 4 | 1 | no | — |
| 41 | C3×C4 | D4×C13 | 1 | 1 | yes | characteristic |
| 42 | D4 | — | 2 | 1 | no | — |
| 43 | D4 | — | 6 | 1 | no | — |
| 44 | C8 | C2×D3×C13 | 1 | 1 | yes | characteristic |
| 45 | C2×C3 | — | 8 | 1 | no | — |
| 46 | C2×C3 | C13×D8 | 1 | 1 | yes | characteristic |
| 47 | D3 | — | 8 | 1 | no | — |
| 48 | C22 | — | 4 | 1 | no | — |
| 49 | C22 | — | 12 | 1 | no | — |
| 50 | C4 | C13×#67 | 1 | 1 | yes | characteristic |
| 51 | C3 | C13×D16 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 52 | C2 | — | 8 | 1 | no | — |
| 53 | C2 | — | 24 | 1 | no | — |
| 54 | C2 | C13×#213 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta