| 1 | C7×C11×(C5⋊D5)⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×C11⋊#1044 | — | 3 | 1 | no | maximal, Hall |
| 3 | C7×C11×C52⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C7×C11×C5⋊D5 | D3 | 1 | 1 | yes | characteristic |
| 5 | C11⋊#64480 | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 6 | C7×#64480 | — | 11 | 1 | no | maximal, Hall |
| 7 | C52×C7×C11 | Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 8 | C11×(C5⋊D5)⋊C3 | C2×C7 | 1 | 1 | yes | characteristic |
| 9 | C7×C11⋊AGL(1,𝔽5) | — | 15 | 2 | no | — |
| 10 | C11⋊#1044 | — | 3 | 1 | no | Hall |
| 11 | C7×(C5⋊D5)⋊C3 | D11 | 1 | 1 | yes | characteristic |
| 12 | C7×Dic33 | — | 25 | 1 | no | maximal, Hall |
| 13 | C11×C52⋊C3 | C4×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 14 | C7×D5×C11 | — | 15 | 2 | no | — |
| 15 | C7×#1044 | — | 33 | 1 | no | Hall |
| 16 | C11×C5⋊D5 | D3×C7 | 1 | 1 | yes | characteristic |
| 17 | C7×C52⋊C3 | Dic11 | 1 | 1 | yes | characteristic, complemented, Hall |
| 18 | C2×C3×C7×C11 | — | 25 | 1 | no | — |
| 19 | C5×C7×C11 | — | 3 | 2 | no | — |
| 20 | C7×C5⋊D5 | D33 | 1 | 1 | yes | characteristic |
| 21 | C7×Dic11 | — | 75 | 1 | no | Hall |
| 22 | #64480 | — | 11 | 1 | no | Hall |
| 23 | C52×C11 | C7×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 24 | C3×C7×C11 | — | 25 | 1 | no | Hall |
| 25 | C11⋊AGL(1,𝔽5) | — | 15 | 2 | no | — |
| 26 | C52×C7 | Dic33 | 1 | 1 | yes | characteristic, complemented, Hall |
| 27 | C2×C7×C11 | — | 25 | 1 | no | — |
| 28 | (C5⋊D5)⋊C3 | C7×D11 | 1 | 1 | yes | characteristic |
| 29 | C7×AGL(1,𝔽5) | — | 165 | 2 | no | — |
| 30 | Dic33 | — | 25 | 1 | no | Hall |
| 31 | D5×C11 | — | 15 | 2 | no | — |
| 32 | #1044 | — | 33 | 1 | no | Hall |
| 33 | C7×Dic3 | — | 275 | 1 | no | Hall |
| 34 | C7×C11 | #64480 | 1 | 1 | yes | characteristic, complemented, Hall |
| 35 | C52⋊C3 | C7×Dic11 | 1 | 1 | yes | characteristic, complemented, Hall |
| 36 | C7×D5 | — | 15 | 2 | no | — |
| 37 | C2×C3×C11 | — | 25 | 1 | no | — |
| 38 | C5×C11 | — | 3 | 2 | no | — |
| 39 | C5⋊D5 | C7×D33 | 1 | 1 | yes | characteristic |
| 40 | Dic11 | — | 75 | 1 | no | Hall |
| 41 | C2×C3×C7 | — | 25 | 1 | no | — |
| 42 | C5×C7 | — | 3 | 2 | no | — |
| 43 | C3×C11 | — | 25 | 1 | no | Hall |
| 44 | C4×C7 | — | 825 | 1 | no | Hall |
| 45 | C52 | C7×Dic33 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 46 | C2×C11 | — | 25 | 1 | no | — |
| 47 | C3×C7 | — | 25 | 1 | no | Hall |
| 48 | AGL(1,𝔽5) | — | 165 | 2 | no | — |
| 49 | C2×C7 | — | 25 | 1 | no | — |
| 50 | Dic3 | — | 275 | 1 | no | Hall |
| 51 | C11 | C7×#64480 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 52 | D5 | — | 15 | 2 | no | — |
| 53 | C7 | C11⋊#64480 | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 54 | C2×C3 | — | 25 | 1 | no | — |
| 55 | C5 | — | 3 | 2 | no | — |
| 56 | C4 | — | 825 | 1 | no | Sylow |
| 57 | C3 | — | 25 | 1 | no | Sylow |
| 58 | C2 | — | 25 | 1 | no | — |
Finite Group Databasebeta