| 1 | C2×C13×#10597244 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C13×#10597244 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 3 | C11×C13×Dic11 | C5 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 4 | C2×C112×C13 | C2×C5 | 1 | 1 | yes | characteristic |
| 5 | C4×C13×C11⋊C5 | — | 11 | 1 | no | maximal |
| 6 | C13×Dic11⋊C5 | — | 11 | 1 | no | maximal |
| 7 | #14559056 | C13 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 8 | C112×C13 | C4×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | C2×C13×C11⋊C5 | — | 11 | 1 | no | — |
| 10 | C2×C13×C11⋊C5 | — | 11 | 1 | no | — |
| 11 | C2×#10597244 | C2×C13 | 1 | 1 | yes | characteristic |
| 12 | C13×C11⋊C5 | — | 11 | 1 | no | — |
| 13 | C13×C11⋊C5 | — | 11 | 1 | no | — |
| 14 | #10597244 | C4×C13 | 1 | 1 | yes | characteristic, complemented, Hall |
| 15 | C4×C11×C13 | — | 11 | 1 | no | — |
| 16 | C13×Dic11 | C11⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 17 | C11×Dic11 | C5×C13 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C2×C11×C13 | — | 10 | 1 | no | — |
| 19 | C2×C11×C13 | AGL(1,𝔽11) | 1 | 1 | yes | characteristic |
| 20 | C2×C11×C13 | C2×C11⋊C5 | 1 | 1 | yes | characteristic |
| 21 | C4×C5×C13 | — | 121 | 1 | no | Hall |
| 22 | C2×C112 | C2×C5×C13 | 1 | 1 | yes | characteristic |
| 23 | C4×C11⋊C5 | — | 11 | 1 | no | — |
| 24 | Dic11⋊C5 | — | 11 | 1 | no | — |
| 25 | C11×C13 | — | 10 | 1 | no | — |
| 26 | C11×C13 | Dic11⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 27 | C11×C13 | C4×C11⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×C5×C13 | — | 121 | 1 | no | — |
| 29 | C112 | C4×C5×C13 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 30 | C2×C11⋊C5 | — | 11 | 1 | no | — |
| 31 | C2×C11⋊C5 | — | 11 | 1 | no | — |
| 32 | C5×C13 | — | 121 | 1 | no | Hall |
| 33 | C11⋊C5 | — | 11 | 1 | no | — |
| 34 | C11⋊C5 | — | 11 | 1 | no | — |
| 35 | C4×C13 | — | 11 | 1 | no | Hall |
| 36 | C4×C11 | — | 11 | 1 | no | — |
| 37 | Dic11 | C13×C11⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×C13 | #11925897 | 1 | 1 | yes | characteristic |
| 39 | C2×C11 | — | 10 | 1 | no | — |
| 40 | C2×C11 | C13×AGL(1,𝔽11) | 1 | 1 | yes | characteristic |
| 41 | C2×C11 | C2×C13×C11⋊C5 | 1 | 1 | yes | characteristic |
| 42 | C4×C5 | — | 121 | 1 | no | Hall |
| 43 | C13 | #14559056 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 44 | C11 | — | 10 | 1 | no | — |
| 45 | C11 | C13×Dic11⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 46 | C11 | C4×C13×C11⋊C5 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×C5 | — | 121 | 1 | no | — |
| 48 | C5 | — | 121 | 1 | no | Sylow |
| 49 | C4 | — | 11 | 1 | no | Sylow |
| 50 | C2 | C13×#11925897 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta