| 1 | C5×C11×#64425 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C11⋊#11758267 | — | 3 | 1 | no | maximal, Hall |
| 3 | C5×C11×#3862 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C11⋊#10596885 | — | 5 | 1 | no | maximal, Hall |
| 5 | C5×C11×C7⋊D7 | D3 | 1 | 1 | yes | characteristic |
| 6 | C11×#64425 | D5 | 1 | 1 | yes | characteristic |
| 7 | #15668793 | — | 11 | 1 | no | maximal, Hall |
| 8 | C5×C72×C11 | Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | C5×C11×AGL(1,𝔽7) | — | 14 | 1 | no | — |
| 10 | C11⋊#5997 | — | 15 | 1 | no | Hall |
| 11 | C11×#3862 | Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 12 | C5×#64425 | D11 | 1 | 1 | yes | characteristic |
| 13 | C5×C11×ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 14 | C11×C7⋊D7 | D15 | 1 | 1 | yes | characteristic |
| 15 | #11758267 | — | 33 | 1 | no | Hall |
| 16 | C5×C11×D7 | — | 14 | 1 | no | — |
| 17 | C5×C11×D7 | — | 42 | 1 | no | — |
| 18 | C5×#3862 | Dic11 | 1 | 1 | yes | characteristic, complemented, Hall |
| 19 | Dic165 | — | 49 | 1 | no | maximal, Hall |
| 20 | #10596885 | — | 55 | 1 | no | Hall |
| 21 | C72×C11 | Dic15 | 1 | 1 | yes | characteristic, complemented, Hall |
| 22 | C5×C7⋊D7 | D33 | 1 | 1 | yes | characteristic |
| 23 | C11×AGL(1,𝔽7) | — | 14 | 1 | no | — |
| 24 | C5×C7×C11 | — | 2 | 1 | no | — |
| 25 | C5×C7×C11 | — | 6 | 1 | no | — |
| 26 | C2×C3×C5×C11 | — | 49 | 1 | no | — |
| 27 | #64425 | D55 | 1 | 1 | yes | characteristic |
| 28 | C5×C72 | Dic33 | 1 | 1 | yes | characteristic, complemented, Hall |
| 29 | C11×ΓL(1,𝔽8) | — | 28 | 1 | no | — |
| 30 | Dic55 | — | 147 | 1 | no | Hall |
| 31 | C5×AGL(1,𝔽7) | — | 14 | 1 | no | — |
| 32 | #5997 | — | 165 | 1 | no | Hall |
| 33 | C3×C5×C11 | — | 196 | 1 | no | Hall |
| 34 | C11×D7 | — | 14 | 1 | no | — |
| 35 | C11×D7 | — | 42 | 1 | no | — |
| 36 | #3862 | Dic55 | 1 | 1 | yes | characteristic, complemented, Hall |
| 37 | Dic33 | — | 245 | 1 | no | Hall |
| 38 | C2×C5×C11 | — | 49 | 1 | no | — |
| 39 | C5×ΓL(1,𝔽8) | — | 28 | 1 | no | — |
| 40 | C7⋊D7 | D165 | 1 | 1 | yes | characteristic |
| 41 | C7×C11 | — | 2 | 1 | no | — |
| 42 | C7×C11 | — | 6 | 1 | no | — |
| 43 | C5×D7 | — | 14 | 1 | no | — |
| 44 | C5×D7 | — | 42 | 1 | no | — |
| 45 | C2×C3×C11 | — | 49 | 1 | no | — |
| 46 | Dic15 | — | 539 | 1 | no | Hall |
| 47 | C5×C11 | #10596885 | 1 | 1 | yes | characteristic, complemented, Hall |
| 48 | C72 | Dic165 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 49 | Dic11 | — | 735 | 1 | no | Hall |
| 50 | AGL(1,𝔽7) | — | 14 | 1 | no | — |
| 51 | C5×C7 | — | 2 | 1 | no | — |
| 52 | C5×C7 | — | 6 | 1 | no | — |
| 53 | C3×C11 | — | 196 | 1 | no | Hall |
| 54 | C2×C3×C5 | — | 49 | 1 | no | — |
| 55 | C2×C11 | — | 49 | 1 | no | — |
| 56 | ΓL(1,𝔽8) | — | 14 | 1 | no | — |
| 57 | Dic5 | — | 1617 | 1 | no | Hall |
| 58 | C3×C5 | — | 196 | 1 | no | Hall |
| 59 | D7 | — | 14 | 1 | no | — |
| 60 | D7 | — | 42 | 1 | no | — |
| 61 | Dic3 | — | 2695 | 1 | no | Hall |
| 62 | C11 | #15668793 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 63 | C2×C5 | — | 49 | 1 | no | — |
| 64 | C7 | — | 2 | 1 | no | — |
| 65 | C7 | — | 6 | 1 | no | — |
| 66 | C2×C3 | — | 49 | 1 | no | — |
| 67 | C5 | C11⋊#10596885 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 68 | C4 | — | 8085 | 1 | no | Sylow |
| 69 | C3 | — | 196 | 1 | no | Sylow |
| 70 | C2 | — | 49 | 1 | no | — |
Finite Group Databasebeta