| 1 | C2×C11⋊C5×C49⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C49⋊(Dic11⋊C5) | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C11⋊C5×C49⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C11⋊((C49⋊C3)⋊C4) | C5 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 5 | C2×C49×C11⋊C5 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | ΓL(1,𝔽8)⋊(Dic11⋊C5) | — | 7 | 1 | no | maximal |
| 7 | C2×C11×C49⋊C3 | C2×C5 | 1 | 1 | yes | characteristic |
| 8 | C5×(C49⋊C3)⋊C4 | — | 11 | 1 | no | maximal, Hall |
| 9 | C49×C11⋊C5 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C2×ΓL(1,𝔽8)×C11⋊C5 | — | 7 | 1 | no | — |
| 11 | Dic539 | C3×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 12 | C11×C49⋊C3 | C4×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 13 | C7⋊(Dic11⋊C5) | — | 7 | 1 | no | — |
| 14 | C2×C5×C49⋊C3 | — | 11 | 1 | no | — |
| 15 | ΓL(1,𝔽8)×C11⋊C5 | — | 7 | 1 | no | — |
| 16 | C2×C11×C49 | C2×C3×C5 | 1 | 1 | yes | characteristic |
| 17 | C5×Dic49 | — | 11 | 1 | no | Hall |
| 18 | C11⋊(ΓL(1,𝔽8)⋊C4) | — | 7 | 1 | no | — |
| 19 | C2×C7×C11⋊C5 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 20 | C5×C49⋊C3 | — | 11 | 1 | no | Hall |
| 21 | C3×Dic11⋊C5 | — | 49 | 1 | no | Hall |
| 22 | (C49⋊C3)⋊C4 | — | 55 | 1 | no | Hall |
| 23 | C11×C49 | C3×C4×C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 24 | C2×C5×C49 | — | 11 | 1 | no | — |
| 25 | C2×C11×ΓL(1,𝔽8) | — | 7 | 1 | no | — |
| 26 | C5×ΓL(1,𝔽8)⋊C4 | — | 77 | 1 | no | — |
| 27 | C7×C11⋊C5 | ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic |
| 28 | C2×C3×C11⋊C5 | — | 49 | 1 | no | — |
| 29 | Dic77 | — | 7 | 1 | no | — |
| 30 | C2×C49⋊C3 | AGL(1,𝔽11) | 1 | 1 | yes | characteristic |
| 31 | C5×C49 | — | 11 | 1 | no | Hall |
| 32 | C11×ΓL(1,𝔽8) | — | 7 | 1 | no | — |
| 33 | Dic11⋊C5 | — | 49 | 1 | no | Hall |
| 34 | C2×C5×ΓL(1,𝔽8) | — | 77 | 1 | no | — |
| 35 | Dic49 | — | 55 | 1 | no | Hall |
| 36 | C3×C11⋊C5 | — | 49 | 1 | no | Hall |
| 37 | C2×C7×C11 | C5×AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 38 | C49⋊C3 | Dic11⋊C5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 39 | C5×Dic7 | — | 77 | 1 | no | — |
| 40 | C3×Dic11 | — | 49 | 1 | no | Hall |
| 41 | C2×C11⋊C5 | D49⋊C3 | 1 | 1 | yes | characteristic |
| 42 | C5×ΓL(1,𝔽8) | — | 77 | 1 | no | — |
| 43 | C2×C49 | C3×AGL(1,𝔽11) | 1 | 1 | yes | characteristic |
| 44 | ΓL(1,𝔽8)⋊C4 | — | 77 | 1 | no | — |
| 45 | C7×C11 | C5×ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic |
| 46 | C2×C5×C7 | — | 11 | 1 | no | — |
| 47 | C2×C3×C11 | — | 49 | 1 | no | — |
| 48 | C3×C4×C5 | — | 539 | 1 | no | Hall |
| 49 | C11⋊C5 | (C49⋊C3)⋊C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 50 | C49 | C3×Dic11⋊C5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 51 | Dic11 | — | 49 | 1 | no | Hall |
| 52 | C2×ΓL(1,𝔽8) | — | 7 | 1 | no | — |
| 53 | C5×C7 | — | 11 | 1 | no | — |
| 54 | C3×C11 | — | 49 | 1 | no | Hall |
| 55 | C2×C3×C5 | — | 539 | 1 | no | — |
| 56 | Dic7 | — | 385 | 1 | no | — |
| 57 | C2×C11 | C5×D49⋊C3 | 1 | 1 | yes | characteristic |
| 58 | ΓL(1,𝔽8) | — | 7 | 1 | no | — |
| 59 | C4×C5 | — | 539 | 1 | no | Hall |
| 60 | C3×C5 | — | 539 | 1 | no | Hall |
| 61 | C2×C7 | ΓL(1,𝔽8)⋊AGL(1,𝔽11) | 1 | 1 | yes | characteristic |
| 62 | C3×C4 | — | 2695 | 1 | no | Hall |
| 63 | C11 | C5×(C49⋊C3)⋊C4 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 64 | C2×C5 | — | 11 | 1 | no | — |
| 65 | C7 | ΓL(1,𝔽8)⋊(Dic11⋊C5) | 1 | 1 | yes | characteristic |
| 66 | C2×C3 | — | 49 | 1 | no | — |
| 67 | C5 | — | 11 | 1 | no | Sylow |
| 68 | C4 | — | 2695 | 1 | no | Sylow |
| 69 | C3 | — | 49 | 1 | no | Sylow |
| 70 | C2 | (C11⋊C5)⋊(D49⋊C3) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta