| 1 | C2×C7×C11×C52⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×Dic385 | — | 3 | 1 | no | maximal, Hall |
| 3 | C7×C11×C52⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C2×C52×C7×C11 | D3 | 1 | 1 | yes | characteristic |
| 5 | C11⋊#64470 | — | 7 | 1 | no | maximal, Hall |
| 6 | C7⋊#64470 | — | 11 | 1 | no | maximal, Hall |
| 7 | C52×C7×C11 | Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 8 | C2×C11×C52⋊C3 | D7 | 1 | 1 | yes | characteristic |
| 9 | Dic385 | — | 3 | 1 | no | — |
| 10 | C5×Dic77 | — | 15 | 1 | no | — |
| 11 | C5×Dic55 | — | 21 | 1 | no | Hall |
| 12 | C2×C7×C52⋊C3 | D11 | 1 | 1 | yes | characteristic |
| 13 | Dic231 | — | 25 | 1 | no | maximal, Hall |
| 14 | C11×C52⋊C3 | Dic7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 15 | C2×C5×C7×C11 | — | 3 | 1 | no | — |
| 16 | C2×C5×C7×C11 | — | 6 | 1 | no | — |
| 17 | C5×Dic35 | — | 33 | 1 | no | Hall |
| 18 | C2×C52×C11 | D21 | 1 | 1 | yes | characteristic |
| 19 | C7×C52⋊C3 | Dic11 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | C2×C3×C7×C11 | — | 25 | 1 | no | — |
| 21 | C5×C7×C11 | — | 3 | 1 | no | — |
| 22 | C5×C7×C11 | — | 6 | 1 | no | — |
| 23 | C2×C52×C7 | D33 | 1 | 1 | yes | characteristic |
| 24 | Dic77 | — | 15 | 1 | no | Hall |
| 25 | #64470 | — | 77 | 1 | no | Hall |
| 26 | C52×C11 | Dic21 | 1 | 1 | yes | characteristic, complemented, Hall |
| 27 | C3×C7×C11 | — | 25 | 1 | no | Hall |
| 28 | Dic55 | — | 21 | 1 | no | — |
| 29 | C5×Dic11 | — | 105 | 1 | no | — |
| 30 | C52×C7 | Dic33 | 1 | 1 | yes | characteristic, complemented, Hall |
| 31 | C2×C7×C11 | #3874 | 1 | 1 | yes | characteristic |
| 32 | C2×C52⋊C3 | D77 | 1 | 1 | yes | characteristic |
| 33 | Dic35 | — | 33 | 1 | no | — |
| 34 | C5×Dic7 | — | 165 | 1 | no | — |
| 35 | Dic33 | — | 175 | 1 | no | Hall |
| 36 | C2×C5×C11 | — | 6 | 1 | no | — |
| 37 | C2×C5×C11 | — | 6 | 1 | no | — |
| 38 | C5×Dic5 | — | 231 | 1 | no | Hall |
| 39 | Dic21 | — | 275 | 1 | no | Hall |
| 40 | C7×C11 | #64470 | 1 | 1 | yes | characteristic, complemented, Hall |
| 41 | C52⋊C3 | Dic77 | 1 | 1 | yes | characteristic, complemented, Hall |
| 42 | C2×C5×C7 | — | 3 | 1 | no | — |
| 43 | C2×C5×C7 | — | 3 | 1 | no | — |
| 44 | C2×C3×C11 | — | 50 | 1 | no | — |
| 45 | C5×C11 | — | 6 | 1 | no | — |
| 46 | C5×C11 | — | 6 | 1 | no | — |
| 47 | C2×C52 | D231 | 1 | 1 | yes | characteristic |
| 48 | Dic11 | — | 105 | 1 | no | Hall |
| 49 | C2×C3×C7 | — | 50 | 1 | no | — |
| 50 | C5×C7 | — | 3 | 1 | no | — |
| 51 | C5×C7 | — | 3 | 1 | no | — |
| 52 | C3×C11 | — | 50 | 1 | no | Hall |
| 53 | Dic7 | — | 165 | 1 | no | Hall |
| 54 | C52 | Dic231 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 55 | C2×C11 | C7⋊#3874 | 1 | 1 | yes | characteristic |
| 56 | C3×C7 | — | 50 | 1 | no | Hall |
| 57 | C4×C5 | — | 1155 | 1 | no | — |
| 58 | Dic5 | — | 231 | 1 | no | — |
| 59 | C2×C7 | C11⋊#3874 | 1 | 1 | yes | characteristic |
| 60 | Dic3 | — | 1925 | 1 | no | Hall |
| 61 | C11 | C7⋊#64470 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 62 | C2×C5 | — | 3 | 1 | no | — |
| 63 | C2×C5 | — | 6 | 1 | no | — |
| 64 | C7 | C11⋊#64470 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 65 | C2×C3 | — | 50 | 1 | no | — |
| 66 | C5 | — | 3 | 1 | no | — |
| 67 | C5 | — | 6 | 1 | no | — |
| 68 | C4 | — | 1155 | 1 | no | Sylow |
| 69 | C3 | — | 50 | 1 | no | Sylow |
| 70 | C2 | C7⋊(C11⋊#3874) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta