| 1 | C2×C5×C13×#3861 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C13×C7⋊Dic35 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C5×C13×#3861 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C13×#10596874 | — | 5 | 1 | no | maximal, Hall |
| 5 | C2×C5×C72×C13 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | C13×ΓL(1,𝔽8)⋊Dic5 | — | 7 | 8 | no | maximal |
| 7 | C2×C13×#3861 | D5 | 1 | 1 | yes | characteristic |
| 8 | C5×C72×C13 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | #15668734 | C13 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 10 | C2×C5×C13×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 11 | C13×C7⋊Dic7 | — | 5 | 1 | no | Hall |
| 12 | C13×#3861 | Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 13 | C13×Dic35 | — | 7 | 8 | no | — |
| 14 | C2×C5×#3861 | C2×C13 | 1 | 1 | yes | characteristic |
| 15 | C5×C13×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 16 | C2×C72×C13 | C3×D5 | 1 | 1 | yes | characteristic |
| 17 | C13×ΓL(1,𝔽8)⋊C4 | — | 35 | 8 | no | — |
| 18 | C7⋊Dic35 | C3×C13 | 1 | 1 | yes | characteristic, complemented, Hall |
| 19 | C2×C5×C7×C13 | AGL(1,𝔽7) | 1 | 8 | yes | — |
| 20 | C3×C13×Dic5 | — | 49 | 1 | no | Hall |
| 21 | C5×#3861 | C4×C13 | 1 | 1 | yes | characteristic, complemented, Hall |
| 22 | C72×C13 | C3×Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | #10596874 | — | 5 | 1 | no | Hall |
| 24 | C2×C13×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 25 | C2×C5×C72 | C2×C3×C13 | 1 | 1 | yes | characteristic |
| 26 | C5×C7×C13 | ΓL(1,𝔽8)⋊C4 | 1 | 8 | yes | complemented |
| 27 | ΓL(1,𝔽8)⋊Dic5 | — | 7 | 8 | no | — |
| 28 | C2×C3×C5×C13 | — | 49 | 1 | no | — |
| 29 | C13×Dic7 | — | 35 | 8 | no | — |
| 30 | C2×#3861 | D5×C13 | 1 | 1 | yes | characteristic |
| 31 | C13×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 32 | C13×Dic5 | — | 49 | 1 | no | Hall |
| 33 | C5×C72 | C3×C4×C13 | 1 | 1 | yes | characteristic, complemented, Hall |
| 34 | C2×C5×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 35 | C7⋊Dic7 | — | 5 | 1 | no | Hall |
| 36 | C3×C5×C13 | — | 49 | 1 | no | Hall |
| 37 | C2×C7×C13 | C5⋊AGL(1,𝔽7) | 1 | 8 | yes | — |
| 38 | C3×C4×C13 | — | 245 | 1 | no | Hall |
| 39 | #3861 | C13×Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 40 | Dic35 | — | 7 | 8 | no | — |
| 41 | C2×C5×C13 | #64424 | 1 | 1 | yes | characteristic |
| 42 | C5×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 43 | C2×C72 | C3×D5×C13 | 1 | 1 | yes | characteristic |
| 44 | C7×C13 | ΓL(1,𝔽8)⋊Dic5 | 1 | 8 | yes | complemented |
| 45 | ΓL(1,𝔽8)⋊C4 | — | 35 | 8 | no | — |
| 46 | C2×C3×C13 | — | 49 | 1 | no | — |
| 47 | C2×C5×C7 | C13×AGL(1,𝔽7) | 1 | 8 | yes | — |
| 48 | C5×C13 | #10596874 | 1 | 1 | yes | characteristic, complemented, Hall |
| 49 | C3×Dic5 | — | 49 | 1 | no | Hall |
| 50 | C4×C13 | — | 245 | 1 | no | Hall |
| 51 | C72 | C3×C13×Dic5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 52 | C2×ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 53 | C3×C13 | — | 49 | 1 | no | Hall |
| 54 | C5×C7 | C13×ΓL(1,𝔽8)⋊C4 | 1 | 8 | yes | complemented |
| 55 | C2×C3×C5 | — | 49 | 1 | no | — |
| 56 | Dic7 | — | 35 | 8 | no | — |
| 57 | C2×C13 | C5⋊#64424 | 1 | 1 | yes | characteristic |
| 58 | ΓL(1,𝔽8) | — | 7 | 8 | no | — |
| 59 | Dic5 | — | 49 | 1 | no | Hall |
| 60 | C3×C5 | — | 49 | 1 | no | Hall |
| 61 | C2×C7 | C13×C5⋊AGL(1,𝔽7) | 1 | 8 | yes | — |
| 62 | C13 | #15668734 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 63 | C3×C4 | — | 245 | 1 | no | Hall |
| 64 | C2×C5 | C13×#64424 | 1 | 1 | yes | characteristic |
| 65 | C7 | C13×ΓL(1,𝔽8)⋊Dic5 | 1 | 8 | yes | complemented |
| 66 | C2×C3 | — | 49 | 1 | no | — |
| 67 | C5 | C13×#10596874 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 68 | C4 | — | 245 | 1 | no | Sylow |
| 69 | C3 | — | 49 | 1 | no | Sylow |
| 70 | C2 | C13×C5⋊#64424 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta