| 1 | C2×C5×C13⋊C3×C41 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×C13×Dic41 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C5×C13⋊C3×C41 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C13⋊C3×Dic41 | C5 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 5 | C2×C5×C13×C41 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | C2×C13⋊C3×C41 | C2×C5 | 1 | 1 | yes | characteristic |
| 7 | C5×C13×C41 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 8 | C3×C5×Dic41 | — | 13 | 1 | no | maximal, Hall |
| 9 | C13×Dic41 | C3×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C13⋊C3×C41 | C4×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 11 | C2×C3×C5×C41 | — | 13 | 1 | no | — |
| 12 | C2×C13×C41 | C2×C3×C5 | 1 | 1 | yes | characteristic |
| 13 | C5×Dic41 | C13⋊C3 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 14 | C4×C5×C13⋊C3 | — | 41 | 1 | no | maximal, Hall |
| 15 | C3×C5×C41 | — | 13 | 1 | no | Hall |
| 16 | C13×C41 | C3×C4×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 17 | C3×Dic41 | — | 13 | 1 | no | Hall |
| 18 | C2×C5×C41 | C2×C13⋊C3 | 1 | 1 | yes | characteristic |
| 19 | C2×C5×C13⋊C3 | D41 | 1 | 1 | yes | characteristic |
| 20 | C4×C5×C13 | — | 41 | 1 | no | Hall |
| 21 | C2×C3×C41 | — | 13 | 1 | no | — |
| 22 | C5×C41 | C4×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C5×C13⋊C3 | Dic41 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 24 | Dic41 | C5×C13⋊C3 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 25 | C4×C13⋊C3 | — | 41 | 1 | no | Hall |
| 26 | C2×C5×C13 | C3×D41 | 1 | 1 | yes | characteristic |
| 27 | C3×C41 | — | 13 | 1 | no | Hall |
| 28 | C2×C41 | C2×C5×C13⋊C3 | 1 | 1 | yes | characteristic |
| 29 | C2×C13⋊C3 | C5×D41 | 1 | 1 | yes | characteristic |
| 30 | C5×C13 | C3×Dic41 | 1 | 1 | yes | characteristic, complemented, Hall |
| 31 | C3×C4×C5 | — | 533 | 1 | no | Hall |
| 32 | C4×C13 | — | 41 | 1 | no | Hall |
| 33 | C41 | C4×C5×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 34 | C13⋊C3 | C5×Dic41 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 35 | C2×C3×C5 | — | 13 | 1 | no | — |
| 36 | C2×C13 | C3×C5×D41 | 1 | 1 | yes | characteristic |
| 37 | C4×C5 | — | 41 | 1 | no | Hall |
| 38 | C3×C5 | — | 13 | 1 | no | Hall |
| 39 | C13 | C3×C5×Dic41 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 40 | C3×C4 | — | 533 | 1 | no | Hall |
| 41 | C2×C5 | C13⋊C3×D41 | 1 | 1 | yes | characteristic |
| 42 | C2×C3 | — | 13 | 1 | no | — |
| 43 | C5 | C13⋊C3×Dic41 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 44 | C4 | — | 41 | 1 | no | Sylow |
| 45 | C3 | — | 13 | 1 | no | Sylow |
| 46 | C2 | C5×C13⋊C3×D41 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta