| 1 | C2×C3×C5×#10597243 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C4×C5×#10597243 | — | 3 | 1 | no | maximal, Hall |
| 3 | C3×C5×#10597243 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 4 | C5×C112×Dic3 | C5 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | Dic3×#10597243 | C5 | 1 | 5 | yes | maximal, direct product factor |
| 6 | C2×C5×#10597243 | D3 | 1 | 1 | yes | characteristic |
| 7 | C2×C3×#10597243 | C2×C5 | 1 | 5 | yes | — |
| 8 | C2×C3×C5×C112 | C2×C5 | 1 | 1 | yes | characteristic |
| 9 | C5×Dic3×C11⋊C5 | — | 11 | 12 | no | maximal |
| 10 | C5×#10597243 | Dic3 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 11 | C4×#10597243 | — | 3 | 5 | no | — |
| 12 | C4×C5×C112 | — | 3 | 1 | no | — |
| 13 | C3×C5×C112 | C4×C5 | 1 | 1 | yes | characteristic, complemented |
| 14 | C3×#10597243 | C4×C5 | 1 | 5 | yes | complemented |
| 15 | C2×C3×C5×C11⋊C5 | — | 11 | 12 | no | — |
| 16 | C112×Dic3 | C52 | 1 | 1 | yes | characteristic, complemented, Hall |
| 17 | C2×C5×C112 | C5×D3 | 1 | 1 | yes | characteristic |
| 18 | C2×#10597243 | C5×D3 | 1 | 5 | yes | — |
| 19 | C4×C5×C11⋊C5 | — | 33 | 12 | no | — |
| 20 | C3×C5×C11⋊C5 | — | 11 | 12 | no | — |
| 21 | C2×C3×C112 | C2×C52 | 1 | 1 | yes | characteristic |
| 22 | C5×C11×Dic3 | C11⋊C5 | 1 | 12 | yes | complemented |
| 23 | Dic3×C11⋊C5 | — | 11 | 60 | no | — |
| 24 | C5×C112 | C5×Dic3 | 1 | 1 | yes | characteristic, complemented |
| 25 | #10597243 | C5×Dic3 | 1 | 5 | yes | direct product factor |
| 26 | C2×C5×C11⋊C5 | — | 11 | 12 | no | — |
| 27 | C4×C112 | — | 3 | 1 | no | Hall |
| 28 | C3×C112 | C4×C52 | 1 | 1 | yes | characteristic, complemented, Hall |
| 29 | C2×C3×C5×C11 | C2×C11⋊C5 | 1 | 12 | yes | — |
| 30 | C2×C3×C11⋊C5 | — | 11 | 60 | no | — |
| 31 | C52×Dic3 | — | 121 | 1 | no | Hall |
| 32 | C5×C11⋊C5 | — | 11 | 12 | no | — |
| 33 | C2×C112 | C52×D3 | 1 | 1 | yes | characteristic |
| 34 | C4×C5×C11 | — | 3 | 12 | no | — |
| 35 | C4×C11⋊C5 | — | 33 | 60 | no | — |
| 36 | C3×C5×C11 | C4×C11⋊C5 | 1 | 12 | yes | complemented |
| 37 | C3×C11⋊C5 | — | 11 | 60 | no | — |
| 38 | C2×C3×C52 | — | 121 | 1 | no | — |
| 39 | C11×Dic3 | C5×C11⋊C5 | 1 | 12 | yes | complemented |
| 40 | C112 | C52×Dic3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 41 | C2×C5×C11 | D3×C11⋊C5 | 1 | 12 | yes | — |
| 42 | C2×C11⋊C5 | — | 11 | 60 | no | — |
| 43 | C4×C52 | — | 363 | 1 | no | Hall |
| 44 | C3×C52 | — | 121 | 1 | no | Hall |
| 45 | C2×C3×C11 | C2×C5×C11⋊C5 | 1 | 12 | yes | — |
| 46 | C5×Dic3 | — | 121 | 5 | no | — |
| 47 | C5×Dic3 | #10597243 | 1 | 1 | yes | characteristic, direct product factor |
| 48 | C5×C11 | Dic3×C11⋊C5 | 1 | 12 | yes | complemented |
| 49 | C11⋊C5 | — | 11 | 60 | no | — |
| 50 | C2×C52 | — | 121 | 1 | no | — |
| 51 | C4×C11 | — | 3 | 12 | no | — |
| 52 | C3×C11 | C4×C5×C11⋊C5 | 1 | 12 | yes | complemented |
| 53 | C2×C3×C5 | — | 121 | 5 | no | — |
| 54 | C2×C3×C5 | C2×#10597243 | 1 | 1 | yes | characteristic |
| 55 | C52 | — | 121 | 1 | no | Sylow |
| 56 | C2×C11 | C5×D3×C11⋊C5 | 1 | 12 | yes | — |
| 57 | C4×C5 | — | 3 | 1 | no | — |
| 58 | C4×C5 | — | 363 | 5 | no | — |
| 59 | C3×C5 | — | 121 | 5 | no | — |
| 60 | C3×C5 | C4×#10597243 | 1 | 1 | yes | characteristic, complemented |
| 61 | Dic3 | C5×#10597243 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 62 | C11 | C5×Dic3×C11⋊C5 | 1 | 12 | yes | complemented |
| 63 | C2×C5 | — | 121 | 5 | no | — |
| 64 | C2×C5 | D3×#10597243 | 1 | 1 | yes | characteristic |
| 65 | C2×C3 | C2×C5×#10597243 | 1 | 1 | yes | characteristic |
| 66 | C5 | — | 121 | 5 | no | — |
| 67 | C5 | Dic3×#10597243 | 1 | 1 | yes | characteristic, direct product factor |
| 68 | C4 | — | 3 | 1 | no | Sylow |
| 69 | C3 | C4×C5×#10597243 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 70 | C2 | C5×D3×#10597243 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta