| 1 | C13×#11717942 | C2 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 2 | C2×C3×C7×C132 | C3 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×C7×C132 | C2×C3 | 1 | 1 | yes | characteristic |
| 4 | C2×C13×C13⋊C9 | — | 7 | 1 | no | maximal, Hall |
| 5 | C2×C7×C132 | C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 6 | C2×#11717942 | C13 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 7 | C2×C13×C7⋊C9 | — | 13 | 1 | no | maximal |
| 8 | C13×C13⋊C9 | — | 7 | 1 | no | Hall |
| 9 | C7×C132 | C2×C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C2×C3×C132 | ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 11 | #11717942 | C2×C13 | 1 | 1 | yes | characteristic, direct product factor |
| 12 | C13×C7⋊C9 | — | 13 | 1 | no | — |
| 13 | C2×C3×C7×C13 | — | 3 | 4 | no | — |
| 14 | C2×C3×C7×C13 | C13⋊C3 | 1 | 1 | yes | characteristic |
| 15 | C2×C3×C7×C13 | C3×C13 | 1 | 1 | yes | characteristic |
| 16 | C3×C132 | C2×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 17 | C2×C132 | C7⋊C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C3×C7×C13 | — | 3 | 4 | no | — |
| 19 | C3×C7×C13 | C2×C13⋊C3 | 1 | 1 | yes | characteristic |
| 20 | C3×C7×C13 | C2×C3×C13 | 1 | 1 | yes | characteristic |
| 21 | C2×C9×C13 | — | 91 | 1 | no | — |
| 22 | C2×C13⋊C9 | — | 7 | 1 | no | — |
| 23 | C2×C7×C13 | — | 3 | 4 | no | — |
| 24 | C2×C7×C13 | C13⋊C9 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×C7×C13 | C9×C13 | 1 | 1 | yes | characteristic, complemented |
| 26 | C132 | C2×C7⋊C9 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 27 | C2×C7⋊C9 | — | 13 | 1 | no | Hall |
| 28 | C9×C13 | — | 91 | 1 | no | — |
| 29 | C13⋊C9 | — | 7 | 1 | no | — |
| 30 | C7×C13 | — | 3 | 4 | no | — |
| 31 | C7×C13 | C2×C13⋊C9 | 1 | 1 | yes | characteristic, complemented |
| 32 | C7×C13 | C2×C9×C13 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×C3×C13 | — | 3 | 4 | no | — |
| 34 | C2×C3×C13 | C13×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 35 | C2×C3×C13 | #63271 | 1 | 1 | yes | characteristic |
| 36 | C7⋊C9 | — | 13 | 1 | no | Hall |
| 37 | C2×C3×C7 | C13×C13⋊C3 | 1 | 1 | yes | characteristic |
| 38 | C3×C13 | — | 3 | 4 | no | — |
| 39 | C3×C13 | C2×C13×ΓL(1,𝔽8) | 1 | 1 | yes | characteristic |
| 40 | C3×C13 | C2×#63271 | 1 | 1 | yes | characteristic |
| 41 | C2×C13 | — | 3 | 4 | no | — |
| 42 | C2×C13 | C13×C7⋊C9 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×C13 | #11717942 | 1 | 1 | yes | characteristic, direct product factor |
| 44 | C3×C7 | C2×C13×C13⋊C3 | 1 | 1 | yes | characteristic |
| 45 | C2×C9 | — | 91 | 1 | no | Hall |
| 46 | C2×C7 | C13×C13⋊C9 | 1 | 1 | yes | characteristic, complemented, Hall |
| 47 | C13 | — | 3 | 4 | no | — |
| 48 | C13 | C2×C13×C7⋊C9 | 1 | 1 | yes | characteristic, complemented |
| 49 | C13 | C2×#11717942 | 1 | 1 | yes | characteristic, direct product factor |
| 50 | C9 | — | 91 | 1 | no | Sylow |
| 51 | C7 | C2×C13×C13⋊C9 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 52 | C2×C3 | C13×#63271 | 1 | 1 | yes | characteristic |
| 53 | C3 | C2×C13×#63271 | 1 | 1 | yes | characteristic |
| 54 | C2 | C13×#11717942 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
Finite Group Databasebeta