| 1 | C13×C5⋊#64424 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C13×#11758266 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C5×C13×#3861 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C13×#5997⋊C3 | — | 5 | 1 | no | maximal, Hall |
| 5 | C13×C5⋊(C7⋊D7) | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | C13×#64424 | — | 5 | 1 | no | — |
| 7 | C5×C72×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 8 | #11758266⋊C3 | C13 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 9 | C13×C5⋊AGL(1,𝔽7) | — | 14 | 4 | no | — |
| 10 | C13×#5997 | — | 5 | 1 | no | Hall |
| 11 | C13×#3861 | AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Hall |
| 12 | C5⋊#64424 | C2×C13 | 1 | 1 | yes | characteristic |
| 13 | C5×C13×ΓL(1,𝔽8) | — | 14 | 4 | no | — |
| 14 | C13×C7⋊D7 | — | 5 | 1 | no | — |
| 15 | #11758266 | C3×C13 | 1 | 1 | yes | characteristic, complemented, Hall |
| 16 | C13×D35 | — | 14 | 4 | no | — |
| 17 | C3×C13×AGL(1,𝔽5) | — | 49 | 1 | no | maximal, Hall |
| 18 | C5×#3861 | C4×C13 | 1 | 1 | yes | characteristic, complemented, Hall |
| 19 | C72×C13 | C3×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | #5997⋊C3 | — | 5 | 1 | no | Hall |
| 21 | C13×AGL(1,𝔽7) | — | 70 | 4 | no | — |
| 22 | C5⋊(C7⋊D7) | C2×C3×C13 | 1 | 1 | yes | characteristic |
| 23 | C5×C7×C13 | — | 2 | 4 | no | — |
| 24 | C3×D5×C13 | — | 49 | 1 | no | — |
| 25 | #64424 | — | 5 | 1 | no | — |
| 26 | C13×ΓL(1,𝔽8) | — | 14 | 4 | no | — |
| 27 | C13×AGL(1,𝔽5) | — | 49 | 1 | no | Hall |
| 28 | C5×C72 | C3×C4×C13 | 1 | 1 | yes | characteristic, complemented, Hall |
| 29 | C5⋊AGL(1,𝔽7) | — | 14 | 4 | no | — |
| 30 | #5997 | — | 5 | 1 | no | Hall |
| 31 | C3×C5×C13 | — | 49 | 1 | no | Hall |
| 32 | C13×D7 | — | 70 | 4 | no | — |
| 33 | C3×C4×C13 | — | 245 | 1 | no | Hall |
| 34 | #3861 | C13×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Hall |
| 35 | D5×C13 | — | 49 | 1 | no | — |
| 36 | C5×ΓL(1,𝔽8) | — | 14 | 4 | no | — |
| 37 | C7⋊D7 | — | 5 | 1 | no | — |
| 38 | C7×C13 | — | 2 | 4 | no | — |
| 39 | C2×C3×C13 | — | 245 | 1 | no | — |
| 40 | D35 | — | 14 | 4 | no | — |
| 41 | C5×C13 | #5997⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 42 | C3×AGL(1,𝔽5) | — | 49 | 1 | no | Hall |
| 43 | C4×C13 | — | 245 | 1 | no | Hall |
| 44 | C72 | C3×C13×AGL(1,𝔽5) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 45 | AGL(1,𝔽7) | — | 70 | 4 | no | — |
| 46 | C3×C13 | — | 49 | 1 | no | Hall |
| 47 | C5×C7 | — | 2 | 4 | no | — |
| 48 | C3×D5 | — | 49 | 1 | no | — |
| 49 | C2×C13 | — | 245 | 1 | no | — |
| 50 | ΓL(1,𝔽8) | — | 14 | 4 | no | — |
| 51 | AGL(1,𝔽5) | — | 49 | 1 | no | Hall |
| 52 | C3×C5 | — | 49 | 1 | no | Hall |
| 53 | D7 | — | 70 | 4 | no | — |
| 54 | C13 | #11758266⋊C3 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 55 | C3×C4 | — | 245 | 1 | no | Hall |
| 56 | D5 | — | 49 | 1 | no | — |
| 57 | C7 | — | 2 | 4 | no | — |
| 58 | C2×C3 | — | 245 | 1 | no | — |
| 59 | C5 | C13×#5997⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 60 | C4 | — | 245 | 1 | no | Sylow |
| 61 | C3 | — | 49 | 1 | no | Sylow |
| 62 | C2 | — | 245 | 1 | no | — |
Finite Group Databasebeta