| 1 | C3×D17×C52⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C5×C3⋊#66772 | — | 3 | 1 | no | maximal |
| 3 | #19099756 | — | 3 | 2 | no | maximal |
| 4 | #19099756 | — | 3 | 1 | no | maximal |
| 5 | C3×C17×C52⋊C3 | C4 | 1 | 1 | yes | characteristic, complemented, Hall |
| 6 | C3×C52×D17 | D3 | 1 | 1 | yes | characteristic |
| 7 | D17×C52⋊C3 | D3 | 1 | 2 | yes | — |
| 8 | D17×C52⋊C3 | D3 | 1 | 1 | yes | characteristic |
| 9 | C5×#66772 | — | 9 | 1 | no | Hall |
| 10 | C3×C52×C17 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 11 | C17×C52⋊C3 | Dic3 | 1 | 1 | yes | characteristic, complemented |
| 12 | C17×C52⋊C3 | Dic3 | 1 | 2 | yes | complemented |
| 13 | C3⋊#66772 | — | 3 | 1 | no | — |
| 14 | C5×C3⋊#595 | — | 15 | 1 | no | — |
| 15 | C3⋊#64470 | — | 17 | 1 | no | maximal, Hall |
| 16 | C52×D17 | C3⋊D3 | 1 | 1 | yes | characteristic |
| 17 | C3⋊(C3⋊#595) | — | 25 | 1 | no | maximal, Hall |
| 18 | C3×C5×D17 | — | 6 | 1 | no | — |
| 19 | C3×C5×D17 | — | 6 | 1 | no | — |
| 20 | C2×C3×C52⋊C3 | — | 17 | 1 | no | — |
| 21 | C52×C17 | C3⋊Dic3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 22 | #66772 | — | 9 | 1 | no | — |
| 23 | C5×#595 | — | 45 | 1 | no | — |
| 24 | C32×D17 | — | 50 | 1 | no | — |
| 25 | C5×Dic15 | — | 51 | 1 | no | — |
| 26 | #64470 | — | 51 | 2 | no | — |
| 27 | #64470 | — | 51 | 1 | no | — |
| 28 | C3×C5×C17 | — | 6 | 1 | no | — |
| 29 | C3×C5×C17 | — | 6 | 1 | no | — |
| 30 | C3×C52⋊C3 | #595 | 1 | 1 | yes | characteristic, complemented, Hall |
| 31 | C3⋊#595 | — | 15 | 1 | no | — |
| 32 | C3⋊#595 | — | 75 | 2 | no | — |
| 33 | C3⋊#595 | — | 75 | 1 | no | — |
| 34 | C5×D17 | — | 3 | 1 | no | — |
| 35 | C5×D17 | — | 3 | 1 | no | — |
| 36 | C32×C17 | — | 50 | 1 | no | Hall |
| 37 | C2×C3×C52 | — | 17 | 1 | no | — |
| 38 | C2×C52⋊C3 | — | 17 | 2 | no | — |
| 39 | C2×C52⋊C3 | — | 17 | 1 | no | — |
| 40 | C3×D17 | — | 50 | 2 | no | — |
| 41 | C3×D17 | — | 50 | 1 | no | — |
| 42 | C3×D17 | #3874 | 1 | 1 | yes | characteristic |
| 43 | C5×Dic5 | — | 153 | 1 | no | Hall |
| 44 | C5×C17 | — | 3 | 1 | no | — |
| 45 | C5×C17 | — | 3 | 1 | no | — |
| 46 | C3×C52 | C3⋊#595 | 1 | 1 | yes | characteristic, complemented |
| 47 | C52⋊C3 | C3⋊#595 | 1 | 1 | yes | characteristic, complemented |
| 48 | C52⋊C3 | C3⋊#595 | 1 | 2 | yes | complemented |
| 49 | #595 | — | 45 | 1 | no | Hall |
| 50 | Dic15 | — | 51 | 1 | no | — |
| 51 | C5×Dic3 | — | 255 | 1 | no | — |
| 52 | C3×C17 | — | 50 | 1 | no | — |
| 53 | C3×C17 | — | 50 | 2 | no | — |
| 54 | C3×C17 | #64470 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×C52 | — | 17 | 1 | no | — |
| 56 | C3⋊Dic3 | — | 425 | 1 | no | Hall |
| 57 | D17 | C3⋊#3874 | 1 | 1 | yes | characteristic |
| 58 | C2×C3×C5 | — | 102 | 1 | no | — |
| 59 | C2×C3×C5 | — | 102 | 1 | no | — |
| 60 | C52 | C3⋊(C3⋊#595) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 61 | C4×C5 | — | 765 | 1 | no | — |
| 62 | Dic5 | — | 153 | 1 | no | — |
| 63 | C2×C32 | — | 850 | 1 | no | — |
| 64 | C17 | C3⋊#64470 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 65 | C3×C5 | — | 6 | 1 | no | — |
| 66 | C3×C5 | — | 6 | 1 | no | — |
| 67 | Dic3 | — | 1275 | 2 | no | — |
| 68 | Dic3 | — | 1275 | 1 | no | — |
| 69 | Dic3 | — | 255 | 1 | no | — |
| 70 | C2×C5 | — | 51 | 1 | no | — |
| 71 | C2×C5 | — | 102 | 1 | no | — |
| 72 | C32 | — | 50 | 1 | no | Sylow |
| 73 | C2×C3 | — | 17 | 1 | no | — |
| 74 | C2×C3 | — | 850 | 2 | no | — |
| 75 | C2×C3 | — | 425 | 1 | no | — |
| 76 | C5 | — | 3 | 1 | no | — |
| 77 | C5 | — | 6 | 1 | no | — |
| 78 | C4 | — | 765 | 1 | no | Sylow |
| 79 | C3 | — | 25 | 1 | no | — |
| 80 | C3 | — | 50 | 2 | no | — |
| 81 | C3 | #19099756 | 1 | 1 | yes | characteristic, complemented |
| 82 | C2 | — | 17 | 1 | no | — |
Finite Group Databasebeta