| 1 | C2×C29×#63270 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C13×Dic7×C29 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C29×#63270 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C2×C7×C13×C29 | C2×C3 | 1 | 1 | yes | characteristic |
| 5 | C4×C29×C13⋊C3 | — | 7 | 1 | no | maximal, Hall |
| 6 | C7×C13×C29 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 7 | C29×ΓL(1,𝔽8)⋊C4 | — | 13 | 1 | no | maximal, Hall |
| 8 | C2×C29×C13⋊C3 | — | 7 | 1 | no | — |
| 9 | C4×C13×C29 | — | 7 | 1 | no | Hall |
| 10 | C2×ΓL(1,𝔽8)×C29 | — | 13 | 1 | no | — |
| 11 | C29×C13⋊C3 | — | 7 | 1 | no | Hall |
| 12 | #11763961 | C29 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 13 | Dic7×C29 | C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 14 | C2×C13×C29 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 15 | ΓL(1,𝔽8)×C29 | — | 13 | 1 | no | Hall |
| 16 | C2×#63270 | C2×C29 | 1 | 1 | yes | characteristic |
| 17 | C2×C7×C29 | C2×C13⋊C3 | 1 | 1 | yes | characteristic |
| 18 | C13×C29 | ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 19 | C13×Dic7 | C3×C29 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | C3×C4×C29 | — | 91 | 1 | no | Hall |
| 21 | #63270 | C4×C29 | 1 | 1 | yes | characteristic, complemented, Hall |
| 22 | C7×C29 | C4×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C2×C7×C13 | C2×C3×C29 | 1 | 1 | yes | characteristic |
| 24 | C2×C3×C29 | — | 91 | 1 | no | — |
| 25 | C4×C13⋊C3 | — | 7 | 1 | no | Hall |
| 26 | C4×C29 | — | 7 | 1 | no | Hall |
| 27 | C7×C13 | C3×C4×C29 | 1 | 1 | yes | characteristic, complemented, Hall |
| 28 | C3×C29 | — | 91 | 1 | no | Hall |
| 29 | ΓL(1,𝔽8)⋊C4 | — | 13 | 1 | no | Hall |
| 30 | C2×C13⋊C3 | — | 7 | 1 | no | — |
| 31 | C2×C29 | #10587720 | 1 | 1 | yes | characteristic |
| 32 | C4×C13 | — | 7 | 1 | no | Hall |
| 33 | C2×ΓL(1,𝔽8) | — | 13 | 1 | no | — |
| 34 | C13⋊C3 | — | 7 | 1 | no | Hall |
| 35 | C29 | #11763961 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 36 | Dic7 | C29×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 37 | C2×C13 | C29×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 38 | ΓL(1,𝔽8) | — | 13 | 1 | no | Hall |
| 39 | C2×C7 | C2×C29×C13⋊C3 | 1 | 1 | yes | characteristic |
| 40 | C13 | C29×ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 41 | C3×C4 | — | 91 | 1 | no | Hall |
| 42 | C7 | C4×C29×C13⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 43 | C2×C3 | — | 91 | 1 | no | — |
| 44 | C4 | — | 7 | 1 | no | Sylow |
| 45 | C3 | — | 91 | 1 | no | Sylow |
| 46 | C2 | C29×#10587720 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta