| 1 | C52⋊C3×D37⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #26012835 | C3 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C5×#10625194⋊C3 | — | 3 | 1 | no | maximal |
| 4 | C52⋊C3×C37⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | D37×C52⋊C3 | C2×C3 | 1 | 1 | yes | characteristic |
| 6 | D37⋊(C52⋊C3) | — | 2 | 1 | no | — |
| 7 | C52×D37⋊C3 | D3 | 1 | 1 | yes | characteristic |
| 8 | C5×#10625194 | — | 3 | 1 | no | Hall |
| 9 | C52⋊(C37⋊C3) | — | 2 | 1 | no | — |
| 10 | C37×C52⋊C3 | C3×C4 | 1 | 1 | yes | characteristic, complemented |
| 11 | C52×C37⋊C3 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 12 | #10625194⋊C3 | — | 3 | 1 | no | — |
| 13 | C5×#3866⋊C3 | — | 15 | 1 | no | — |
| 14 | C52×D37 | C3×D3 | 1 | 1 | yes | characteristic |
| 15 | C3⋊(#3866⋊C3) | — | 25 | 1 | no | maximal, Hall |
| 16 | C5×D37⋊C3 | — | 3 | 1 | no | — |
| 17 | C5×D37⋊C3 | — | 3 | 1 | no | — |
| 18 | C52×C37 | C3×Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 19 | C3×#64470 | — | 37 | 1 | no | maximal, Hall |
| 20 | #10625194 | — | 3 | 1 | no | — |
| 21 | C5×#3866 | — | 15 | 1 | no | — |
| 22 | C3×D37⋊C3 | — | 25 | 1 | no | — |
| 23 | C5×C37⋊C3 | — | 3 | 1 | no | — |
| 24 | C5×C37⋊C3 | — | 3 | 1 | no | — |
| 25 | C2×C3×C52⋊C3 | — | 37 | 1 | no | — |
| 26 | C3⋊#3866 | — | 25 | 1 | no | — |
| 27 | #3866⋊C3 | — | 15 | 1 | no | — |
| 28 | C5×D37 | — | 3 | 1 | no | — |
| 29 | C5×D37 | — | 3 | 1 | no | — |
| 30 | C3×C37⋊C3 | — | 25 | 1 | no | Hall |
| 31 | C3×C5×Dic5 | — | 111 | 1 | no | — |
| 32 | #64470 | — | 37 | 1 | no | — |
| 33 | C3×C52⋊C3 | — | 37 | 1 | no | Hall |
| 34 | C3×D37 | — | 25 | 1 | no | — |
| 35 | D37⋊C3 | — | 50 | 1 | no | — |
| 36 | D37⋊C3 | #3874 | 1 | 1 | yes | characteristic |
| 37 | C5×C37 | — | 3 | 1 | no | — |
| 38 | C5×C37 | — | 3 | 1 | no | — |
| 39 | C2×C3×C52 | — | 37 | 1 | no | — |
| 40 | C2×C52⋊C3 | — | 37 | 1 | no | — |
| 41 | C2×C52⋊C3 | — | 74 | 1 | no | — |
| 42 | #3866 | — | 15 | 1 | no | Hall |
| 43 | C3×C37 | — | 25 | 1 | no | — |
| 44 | C37⋊C3 | — | 50 | 1 | no | — |
| 45 | C37⋊C3 | #64470 | 1 | 1 | yes | characteristic, complemented |
| 46 | C5×Dic5 | — | 111 | 1 | no | Hall |
| 47 | C3×C52 | — | 37 | 1 | no | — |
| 48 | C52⋊C3 | — | 74 | 1 | no | — |
| 49 | C52⋊C3 | #3866⋊C3 | 1 | 1 | yes | characteristic, complemented |
| 50 | D37 | C3×#3874 | 1 | 1 | yes | characteristic |
| 51 | C3×C4×C5 | — | 555 | 1 | no | — |
| 52 | C3×Dic5 | — | 111 | 1 | no | — |
| 53 | C2×C52 | — | 37 | 1 | no | — |
| 54 | C37 | C3×#64470 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 55 | C3×Dic3 | — | 925 | 1 | no | Hall |
| 56 | C2×C3×C5 | — | 111 | 1 | no | — |
| 57 | C2×C3×C5 | — | 111 | 1 | no | — |
| 58 | C52 | C3⋊(#3866⋊C3) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 59 | C4×C5 | — | 555 | 1 | no | — |
| 60 | Dic5 | — | 111 | 1 | no | — |
| 61 | C2×C32 | — | 925 | 1 | no | — |
| 62 | C3×C5 | — | 111 | 1 | no | — |
| 63 | C3×C5 | — | 111 | 1 | no | — |
| 64 | C3×C4 | — | 555 | 1 | no | — |
| 65 | Dic3 | — | 925 | 1 | no | — |
| 66 | C2×C5 | — | 111 | 1 | no | — |
| 67 | C2×C5 | — | 111 | 1 | no | — |
| 68 | C32 | — | 925 | 1 | no | Sylow |
| 69 | C2×C3 | — | 37 | 1 | no | — |
| 70 | C2×C3 | — | 1850 | 1 | no | — |
| 71 | C2×C3 | — | 925 | 1 | no | — |
| 72 | C5 | — | 3 | 1 | no | — |
| 73 | C5 | — | 3 | 1 | no | — |
| 74 | C4 | — | 555 | 1 | no | Sylow |
| 75 | C3 | — | 25 | 1 | no | — |
| 76 | C3 | — | 37 | 1 | no | — |
| 77 | C3 | — | 1850 | 1 | no | — |
| 78 | C2 | — | 37 | 1 | no | — |
Finite Group Databasebeta