| 1 | C2×C3×C37×C52⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×C52×Dic37 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C52⋊C3×Dic37 | C3 | 1 | 3 | yes | maximal, direct product factor |
| 4 | C3×C37×C52⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×C37×C52⋊C3 | C2×C3 | 1 | 3 | yes | — |
| 6 | C2×C3×C52×C37 | C2×C3 | 1 | 1 | yes | characteristic |
| 7 | C52×Dic37 | C32 | 1 | 1 | yes | characteristic, complemented, Hall |
| 8 | C37×C52⋊C3 | C3×C4 | 1 | 3 | yes | complemented |
| 9 | C3×C52×C37 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 10 | C3×C5×Dic37 | — | 3 | 2 | no | — |
| 11 | C2×C52×C37 | C2×C32 | 1 | 1 | yes | characteristic |
| 12 | C32×Dic37 | — | 25 | 1 | no | maximal, Hall |
| 13 | C2×C3×C5×C37 | — | 3 | 2 | no | — |
| 14 | C52×C37 | C32×C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 15 | C3×C4×C52⋊C3 | — | 37 | 1 | no | maximal, Hall |
| 16 | C5×Dic37 | — | 3 | 2 | no | — |
| 17 | C2×C32×C37 | — | 25 | 1 | no | — |
| 18 | C3×C5×C37 | — | 3 | 2 | no | — |
| 19 | C2×C3×C52⋊C3 | D37 | 1 | 1 | yes | characteristic |
| 20 | C3×Dic37 | — | 25 | 3 | no | — |
| 21 | C3×Dic37 | C52⋊C3 | 1 | 1 | yes | characteristic, direct product factor |
| 22 | C2×C5×C37 | — | 3 | 2 | no | — |
| 23 | C32×C37 | — | 25 | 1 | no | Hall |
| 24 | C3×C4×C52 | — | 37 | 1 | no | — |
| 25 | C4×C52⋊C3 | — | 37 | 3 | no | — |
| 26 | C3×C52⋊C3 | Dic37 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 27 | C2×C3×C37 | — | 25 | 3 | no | — |
| 28 | C2×C3×C37 | C2×C52⋊C3 | 1 | 1 | yes | characteristic |
| 29 | C5×C37 | — | 3 | 2 | no | — |
| 30 | C2×C3×C52 | C3×D37 | 1 | 1 | yes | characteristic |
| 31 | C2×C52⋊C3 | C3×D37 | 1 | 3 | yes | — |
| 32 | Dic37 | C3×C52⋊C3 | 1 | 1 | yes | characteristic, direct product factor, Hall |
| 33 | C3×C37 | — | 25 | 3 | no | — |
| 34 | C3×C37 | C4×C52⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 35 | C4×C52 | — | 37 | 1 | no | Hall |
| 36 | C3×C52 | C3×Dic37 | 1 | 1 | yes | characteristic, complemented |
| 37 | C52⋊C3 | C3×Dic37 | 1 | 3 | yes | direct product factor |
| 38 | C2×C37 | C2×C3×C52⋊C3 | 1 | 1 | yes | characteristic |
| 39 | C3×C4×C5 | — | 111 | 2 | no | — |
| 40 | C2×C52 | C32×D37 | 1 | 1 | yes | characteristic |
| 41 | C37 | C3×C4×C52⋊C3 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 42 | C32×C4 | — | 925 | 1 | no | Hall |
| 43 | C2×C3×C5 | — | 3 | 2 | no | — |
| 44 | C52 | C32×Dic37 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 45 | C4×C5 | — | 111 | 2 | no | — |
| 46 | C2×C32 | — | 25 | 1 | no | — |
| 47 | C3×C5 | — | 3 | 2 | no | — |
| 48 | C3×C4 | — | 37 | 1 | no | — |
| 49 | C3×C4 | — | 925 | 3 | no | — |
| 50 | C2×C5 | — | 3 | 2 | no | — |
| 51 | C32 | — | 25 | 1 | no | Sylow |
| 52 | C2×C3 | — | 25 | 3 | no | — |
| 53 | C2×C3 | D37×C52⋊C3 | 1 | 1 | yes | characteristic |
| 54 | C5 | — | 3 | 2 | no | — |
| 55 | C4 | — | 37 | 1 | no | Sylow |
| 56 | C3 | — | 25 | 3 | no | — |
| 57 | C3 | C52⋊C3×Dic37 | 1 | 1 | yes | characteristic, direct product factor |
| 58 | C2 | C3×D37×C52⋊C3 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta