| 1 | C2×C32×C7×C112 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×C3⋊(C11⋊Dic11) | C3 | 1 | 1 | yes | maximal, characteristic, direct product factor |
| 3 | C3×C7×C11⋊Dic11 | — | 3 | 1 | no | maximal |
| 4 | C32×C7×C112 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×C3×C7×C112 | — | 2 | 1 | no | — |
| 6 | C2×C3×C7×C112 | D3 | 1 | 1 | yes | characteristic |
| 7 | C2×C3×C7×C112 | C2×C3 | 1 | 1 | yes | characteristic |
| 8 | C3×C3⋊(C11⋊Dic11) | C7 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 9 | C7×C11⋊Dic11 | — | 3 | 1 | no | Hall |
| 10 | C3×C7×Dic33 | — | 11 | 12 | no | maximal |
| 11 | C3×C7×C112 | — | 2 | 1 | no | — |
| 12 | C3×C7×C112 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 13 | C3×C7×C112 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 14 | C2×C32×C112 | C2×C7 | 1 | 1 | yes | characteristic |
| 15 | C2×C7×C112 | C3×D3 | 1 | 1 | yes | characteristic |
| 16 | C3⋊(C11⋊Dic11) | C3×C7 | 1 | 1 | yes | characteristic, direct product factor |
| 17 | C3×C11⋊Dic11 | — | 3 | 1 | no | — |
| 18 | C2×C32×C7×C11 | D11 | 1 | 12 | yes | — |
| 19 | C32×C112 | C4×C7 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | C7×Dic33 | — | 11 | 12 | no | — |
| 21 | C3×C7×Dic11 | — | 33 | 12 | no | — |
| 22 | C7×C112 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 23 | C2×C3×C112 | — | 2 | 1 | no | — |
| 24 | C2×C3×C112 | D3×C7 | 1 | 1 | yes | characteristic |
| 25 | C2×C3×C112 | C2×C3×C7 | 1 | 1 | yes | characteristic |
| 26 | C32×C7×C11 | Dic11 | 1 | 12 | yes | complemented |
| 27 | C11⋊Dic11 | — | 3 | 1 | no | Hall |
| 28 | C2×C3×C7×C11 | — | 2 | 12 | no | — |
| 29 | C2×C3×C7×C11 | C3×D11 | 1 | 12 | yes | — |
| 30 | C2×C3×C7×C11 | D33 | 1 | 12 | yes | — |
| 31 | C3×Dic33 | — | 11 | 12 | no | — |
| 32 | C3×C112 | — | 2 | 1 | no | — |
| 33 | C3×C112 | C7×Dic3 | 1 | 1 | yes | characteristic, complemented |
| 34 | C3×C112 | C3×C4×C7 | 1 | 1 | yes | characteristic, complemented |
| 35 | C7×Dic11 | — | 33 | 12 | no | — |
| 36 | C3×C7×Dic3 | — | 121 | 1 | no | Hall |
| 37 | C2×C112 | C3×D3×C7 | 1 | 1 | yes | characteristic |
| 38 | C3×C7×C11 | — | 2 | 12 | no | — |
| 39 | C3×C7×C11 | C3×Dic11 | 1 | 12 | yes | complemented |
| 40 | C3×C7×C11 | Dic33 | 1 | 12 | yes | complemented |
| 41 | C2×C32×C11 | C7×D11 | 1 | 12 | yes | — |
| 42 | C2×C7×C11 | C3×D33 | 1 | 12 | yes | — |
| 43 | Dic33 | — | 11 | 12 | no | — |
| 44 | C3×Dic11 | — | 33 | 12 | no | — |
| 45 | C2×C32×C7 | C11⋊D11 | 1 | 1 | yes | characteristic |
| 46 | C112 | C3×C7×Dic3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 47 | C32×C11 | C7×Dic11 | 1 | 12 | yes | complemented |
| 48 | C3×C4×C7 | — | 363 | 1 | no | — |
| 49 | C7×Dic3 | — | 121 | 1 | no | — |
| 50 | C7×C11 | C3×Dic33 | 1 | 12 | yes | complemented |
| 51 | C2×C3×C11 | — | 2 | 12 | no | — |
| 52 | C2×C3×C11 | C3×C7×D11 | 1 | 12 | yes | — |
| 53 | C2×C3×C11 | C7×D33 | 1 | 12 | yes | — |
| 54 | C32×C7 | C11⋊Dic11 | 1 | 1 | yes | characteristic, complemented, Hall |
| 55 | Dic11 | — | 33 | 12 | no | — |
| 56 | C2×C3×C7 | — | 2 | 1 | no | — |
| 57 | C2×C3×C7 | C3×C11⋊D11 | 1 | 1 | yes | characteristic |
| 58 | C2×C3×C7 | C3⋊(C11⋊D11) | 1 | 1 | yes | characteristic |
| 59 | C3×Dic3 | — | 121 | 1 | no | Hall |
| 60 | C3×C11 | — | 2 | 12 | no | — |
| 61 | C3×C11 | C3×C7×Dic11 | 1 | 12 | yes | complemented |
| 62 | C3×C11 | C7×Dic33 | 1 | 12 | yes | complemented |
| 63 | C4×C7 | — | 363 | 1 | no | Hall |
| 64 | C2×C11 | C3×C7×D33 | 1 | 12 | yes | — |
| 65 | C3×C7 | — | 2 | 1 | no | — |
| 66 | C3×C7 | C3×C11⋊Dic11 | 1 | 1 | yes | characteristic, complemented |
| 67 | C3×C7 | C3⋊(C11⋊Dic11) | 1 | 1 | yes | characteristic, direct product factor |
| 68 | C2×C32 | C7×C11⋊D11 | 1 | 1 | yes | characteristic |
| 69 | C2×C7 | C3×C3⋊(C11⋊D11) | 1 | 1 | yes | characteristic |
| 70 | C3×C4 | — | 363 | 1 | no | — |
| 71 | Dic3 | — | 121 | 1 | no | — |
| 72 | C11 | C3×C7×Dic33 | 1 | 12 | yes | complemented |
| 73 | C32 | C7×C11⋊Dic11 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 74 | C7 | C3×C3⋊(C11⋊Dic11) | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 75 | C2×C3 | — | 2 | 1 | no | — |
| 76 | C2×C3 | C3×C7×C11⋊D11 | 1 | 1 | yes | characteristic |
| 77 | C2×C3 | C7×C3⋊(C11⋊D11) | 1 | 1 | yes | characteristic |
| 78 | C4 | — | 363 | 1 | no | Sylow |
| 79 | C3 | — | 2 | 1 | no | — |
| 80 | C3 | C3×C7×C11⋊Dic11 | 1 | 1 | yes | characteristic, complemented |
| 81 | C3 | C7×C3⋊(C11⋊Dic11) | 1 | 1 | yes | characteristic, direct product factor |
| 82 | C2 | C3×C7×C3⋊(C11⋊D11) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta