| 1 | Q8×D757 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D4×D757 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #27131077 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #27131076 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #27131075 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C8×D757 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | SD16×C757 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×D757 | — | 2 | 1 | no | — |
| 9 | Dic1514 | — | 2 | 1 | no | — |
| 10 | Dic1514 | C22 | 1 | 1 | yes | characteristic, complemented |
| 11 | D3028 | C22 | 1 | 1 | yes | characteristic |
| 12 | C22⋊D757 | — | 2 | 1 | no | — |
| 13 | C4×D757 | — | 2 | 1 | no | — |
| 14 | C4×D757 | C22 | 1 | 1 | yes | characteristic |
| 15 | #20258493 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | Q8×C757 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | D4×C757 | C22 | 1 | 1 | yes | characteristic |
| 18 | C8×C757 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C22×C757 | — | 2 | 1 | no | — |
| 20 | C2×D757 | — | 2 | 1 | no | — |
| 21 | C2×D757 | — | 4 | 2 | no | — |
| 22 | C2×D757 | D4 | 1 | 1 | yes | characteristic |
| 23 | C4×C757 | — | 2 | 1 | no | — |
| 24 | C4×C757 | C23 | 1 | 1 | yes | characteristic |
| 25 | Dic757 | — | 2 | 1 | no | — |
| 26 | Dic757 | D4 | 1 | 1 | yes | characteristic |
| 27 | C2×C757 | — | 4 | 1 | no | — |
| 28 | C2×C757 | C2×D4 | 1 | 1 | yes | characteristic |
| 29 | D757 | — | 4 | 1 | no | — |
| 30 | D757 | SD16 | 1 | 2 | yes | direct product factor |
| 31 | C757 | C2×SD16 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 32 | C2×SD16 | — | 757 | 1 | no | maximal, Sylow |
| 33 | C2×Q8 | — | 757 | 1 | no | — |
| 34 | C2×D4 | — | 757 | 1 | no | — |
| 35 | SD16 | — | 757 | 1 | no | — |
| 36 | SD16 | — | 757 | 1 | no | — |
| 37 | SD16 | — | 757 | 1 | no | — |
| 38 | SD16 | D757 | 1 | 1 | yes | characteristic, direct product factor |
| 39 | C2×C8 | — | 757 | 1 | no | — |
| 40 | C23 | — | 1514 | 1 | no | — |
| 41 | Q8 | — | 1514 | 1 | no | — |
| 42 | Q8 | — | 757 | 1 | no | — |
| 43 | Q8 | C2×D757 | 1 | 1 | yes | characteristic, complemented |
| 44 | D4 | — | 1514 | 1 | no | — |
| 45 | D4 | — | 757 | 1 | no | — |
| 46 | D4 | C2×D757 | 1 | 1 | yes | characteristic |
| 47 | C2×C4 | — | 1514 | 1 | no | — |
| 48 | C2×C4 | — | 757 | 1 | no | — |
| 49 | C8 | — | 757 | 1 | no | — |
| 50 | C8 | C2×D757 | 1 | 1 | yes | characteristic, complemented |
| 51 | C22 | — | 2 | 1 | no | — |
| 52 | C22 | — | 3028 | 2 | no | — |
| 53 | C22 | — | 1514 | 1 | no | — |
| 54 | C22 | — | 757 | 1 | no | — |
| 55 | C4 | — | 2 | 1 | no | — |
| 56 | C4 | — | 1514 | 1 | no | — |
| 57 | C4 | — | 757 | 1 | no | — |
| 58 | C4 | C22×D757 | 1 | 1 | yes | characteristic |
| 59 | C2 | — | 4 | 1 | no | — |
| 60 | C2 | — | 3028 | 1 | no | — |
| 61 | C2 | — | 757 | 2 | no | — |
| 62 | C2 | D4×D757 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta