| 1 | C2×C5×C11×C49⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | Dic2695 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 3 | C5×C11×C49⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C11⋊((C49⋊C3)⋊C4) | — | 5 | 1 | no | maximal, Hall |
| 5 | C2×C5×C11×C49 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | C11⋊(ΓL(1,𝔽8)⋊Dic5) | — | 7 | 1 | no | maximal |
| 7 | C2×C11×C49⋊C3 | D5 | 1 | 1 | yes | characteristic |
| 8 | (C49⋊C3)⋊Dic5 | — | 11 | 1 | no | maximal, Hall |
| 9 | C5×C11×C49 | C3×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 10 | C2×C5×C11×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 11 | Dic539 | — | 5 | 1 | no | Hall |
| 12 | C11×C49⋊C3 | Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 13 | Dic385 | — | 7 | 1 | no | — |
| 14 | C2×C5×C49⋊C3 | D11 | 1 | 1 | yes | characteristic |
| 15 | C5×C11×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 16 | C2×C11×C49 | C3×D5 | 1 | 1 | yes | characteristic |
| 17 | Dic245 | — | 11 | 1 | no | Hall |
| 18 | C11⋊(ΓL(1,𝔽8)⋊C4) | — | 35 | 1 | no | — |
| 19 | C2×C5×C7×C11 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 20 | C5×C49⋊C3 | Dic11 | 1 | 1 | yes | characteristic, complemented, Hall |
| 21 | C3×Dic55 | — | 49 | 1 | no | Hall |
| 22 | (C49⋊C3)⋊C4 | — | 55 | 1 | no | Hall |
| 23 | C11×C49 | C3×Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 24 | C2×C5×C49 | C3×D11 | 1 | 1 | yes | characteristic |
| 25 | C2×C11×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 26 | ΓL(1,𝔽8)⋊Dic5 | — | 77 | 1 | no | — |
| 27 | C5×C7×C11 | ΓL(1,𝔽8)⋊C4 | 1 | 1 | yes | characteristic |
| 28 | C2×C3×C5×C11 | — | 98 | 1 | no | — |
| 29 | Dic77 | — | 35 | 1 | no | — |
| 30 | C2×C49⋊C3 | D55 | 1 | 1 | yes | characteristic |
| 31 | C5×C49 | C3×Dic11 | 1 | 1 | yes | characteristic, complemented, Hall |
| 32 | C11×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 33 | Dic55 | — | 49 | 1 | no | Hall |
| 34 | C2×C5×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 35 | Dic49 | — | 55 | 1 | no | Hall |
| 36 | C3×C5×C11 | — | 98 | 1 | no | Hall |
| 37 | C2×C7×C11 | C5⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 38 | C49⋊C3 | Dic55 | 1 | 1 | yes | characteristic, complemented, Hall |
| 39 | Dic35 | — | 77 | 1 | no | — |
| 40 | C3×Dic11 | — | 245 | 1 | no | Hall |
| 41 | C2×C5×C11 | D49⋊C3 | 1 | 1 | yes | characteristic |
| 42 | C5×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 43 | C2×C49 | C3×D55 | 1 | 1 | yes | characteristic |
| 44 | ΓL(1,𝔽8)⋊C4 | — | 385 | 1 | no | — |
| 45 | C7×C11 | ΓL(1,𝔽8)⋊Dic5 | 1 | 1 | yes | characteristic |
| 46 | C2×C5×C7 | C11⋊AGL(1,𝔽7) | 1 | 1 | yes | characteristic |
| 47 | C2×C3×C11 | — | 98 | 1 | no | — |
| 48 | C3×Dic5 | — | 539 | 1 | no | Hall |
| 49 | C5×C11 | (C49⋊C3)⋊C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 50 | C49 | C3×Dic55 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 51 | Dic11 | — | 245 | 1 | no | Hall |
| 52 | C2×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 53 | C5×C7 | C11⋊(ΓL(1,𝔽8)⋊C4) | 1 | 1 | yes | characteristic |
| 54 | C3×C11 | — | 98 | 1 | no | Hall |
| 55 | C2×C3×C5 | — | 98 | 1 | no | — |
| 56 | Dic7 | — | 385 | 1 | no | — |
| 57 | C2×C11 | C5⋊(D49⋊C3) | 1 | 1 | yes | characteristic |
| 58 | ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 59 | Dic5 | — | 539 | 1 | no | Hall |
| 60 | C3×C5 | — | 98 | 1 | no | Hall |
| 61 | C2×C7 | C5⋊(C11⋊AGL(1,𝔽7)) | 1 | 1 | yes | characteristic |
| 62 | C3×C4 | — | 2695 | 1 | no | Hall |
| 63 | C11 | (C49⋊C3)⋊Dic5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 64 | C2×C5 | C11⋊(D49⋊C3) | 1 | 1 | yes | characteristic |
| 65 | C7 | C11⋊(ΓL(1,𝔽8)⋊Dic5) | 1 | 1 | yes | characteristic |
| 66 | C2×C3 | — | 98 | 1 | no | — |
| 67 | C5 | C11⋊((C49⋊C3)⋊C4) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 68 | C4 | — | 2695 | 1 | no | Sylow |
| 69 | C3 | — | 98 | 1 | no | Sylow |
| 70 | C2 | C5⋊(C11⋊(D49⋊C3)) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta