| 1 | C2×C3×C5×C112⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C11⋊Dic55 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | (C11⋊Dic55)⋊C3 | C3 | 1 | 3 | yes | maximal, direct product factor |
| 4 | C3×C5×C112⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C3×(C11⋊Dic11)⋊C3 | — | 5 | 1 | no | maximal, Hall |
| 6 | C2×C5×C112⋊C3 | C2×C3 | 1 | 3 | yes | — |
| 7 | C2×C3×C5×C112 | C2×C3 | 1 | 1 | yes | characteristic |
| 8 | C11⋊Dic55 | C32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 9 | C2×C3×C112⋊C3 | D5 | 1 | 1 | yes | characteristic |
| 10 | C3×C5×C112 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | C5×C112⋊C3 | C3×C4 | 1 | 3 | yes | complemented |
| 12 | C3×C11⋊Dic11 | — | 5 | 1 | no | — |
| 13 | (C11⋊Dic11)⋊C3 | — | 5 | 3 | no | — |
| 14 | C2×C5×C112 | C2×C32 | 1 | 1 | yes | characteristic |
| 15 | C3×C112⋊C3 | Dic5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 16 | C2×C3×C112 | C3×D5 | 1 | 1 | yes | characteristic |
| 17 | C2×C112⋊C3 | C3×D5 | 1 | 3 | yes | — |
| 18 | C3×Dic55 | — | 33 | 4 | no | — |
| 19 | C5×C112 | C32×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 20 | C11⋊Dic11 | — | 5 | 1 | no | Hall |
| 21 | C3×C112 | C3×Dic5 | 1 | 1 | yes | characteristic, complemented |
| 22 | C112⋊C3 | C3×Dic5 | 1 | 3 | yes | complemented |
| 23 | C2×C3×C5×C11 | — | 3 | 4 | no | — |
| 24 | C2×C112 | C32×D5 | 1 | 1 | yes | characteristic |
| 25 | Dic55 | — | 33 | 4 | no | — |
| 26 | C32×Dic5 | — | 121 | 1 | no | maximal, Hall |
| 27 | C3×C5×C11 | — | 3 | 4 | no | — |
| 28 | C3×Dic11 | — | 165 | 4 | no | — |
| 29 | C112 | C32×Dic5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 30 | C2×C5×C11 | — | 3 | 4 | no | — |
| 31 | C2×C32×C5 | — | 121 | 1 | no | — |
| 32 | C2×C3×C11 | — | 3 | 4 | no | — |
| 33 | C3×Dic5 | — | 121 | 3 | no | — |
| 34 | C3×Dic5 | — | 121 | 1 | no | — |
| 35 | C5×C11 | — | 3 | 4 | no | — |
| 36 | C32×C5 | — | 121 | 1 | no | Hall |
| 37 | Dic11 | — | 165 | 4 | no | — |
| 38 | C32×C4 | — | 605 | 1 | no | Hall |
| 39 | C3×C11 | — | 3 | 4 | no | — |
| 40 | C2×C3×C5 | — | 121 | 3 | no | — |
| 41 | C2×C3×C5 | (C11⋊D11)⋊C3 | 1 | 1 | yes | characteristic |
| 42 | C2×C11 | — | 3 | 4 | no | — |
| 43 | Dic5 | — | 121 | 1 | no | Hall |
| 44 | C2×C32 | — | 121 | 1 | no | — |
| 45 | C3×C5 | — | 121 | 3 | no | — |
| 46 | C3×C5 | (C11⋊Dic11)⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 47 | C3×C4 | — | 605 | 3 | no | — |
| 48 | C3×C4 | — | 605 | 1 | no | — |
| 49 | C11 | — | 3 | 4 | no | — |
| 50 | C2×C5 | C3×(C11⋊D11)⋊C3 | 1 | 1 | yes | characteristic |
| 51 | C32 | — | 121 | 1 | no | Sylow |
| 52 | C2×C3 | — | 121 | 3 | no | — |
| 53 | C2×C3 | C5⋊((C11⋊D11)⋊C3) | 1 | 1 | yes | characteristic |
| 54 | C5 | C3×(C11⋊Dic11)⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 55 | C4 | — | 605 | 1 | no | Sylow |
| 56 | C3 | — | 121 | 3 | no | — |
| 57 | C3 | (C11⋊Dic55)⋊C3 | 1 | 1 | yes | characteristic, direct product factor |
| 58 | C2 | C3×C5⋊((C11⋊D11)⋊C3) | 1 | 1 | yes | characteristic |
Finite Group Databasebeta