| 1 | D4×#10597845 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #19097839 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #19097833 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #19097825 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | D8×D157 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | C22×#10597845 | — | 2 | 2 | no | — |
| 7 | D157⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 8 | C4⋊#10597845 | C22 | 1 | 2 | yes | — |
| 9 | C22⋊#10597845 | — | 2 | 2 | no | — |
| 10 | C4×#10597845 | C22 | 1 | 1 | yes | characteristic |
| 11 | D4×D157 | C22 | 1 | 2 | yes | — |
| 12 | D1256 | C4 | 1 | 1 | yes | characteristic, complemented |
| 13 | #14578939 | C4 | 1 | 2 | yes | complemented |
| 14 | C8×D157 | C22 | 1 | 1 | yes | characteristic |
| 15 | D8×C157 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | C2×#10597845 | — | 2 | 2 | no | — |
| 17 | C2×#10597845 | — | 4 | 4 | no | — |
| 18 | C2×#10597845 | D4 | 1 | 2 | yes | — |
| 19 | #11929441 | — | 2 | 1 | no | — |
| 20 | C22×D157 | — | 2 | 2 | no | — |
| 21 | D628 | C2×C4 | 1 | 2 | yes | complemented |
| 22 | C22⋊D157 | — | 2 | 2 | no | — |
| 23 | C4×D157 | C23 | 1 | 1 | yes | characteristic |
| 24 | #11929434 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 25 | D4×C157 | C2×C4 | 1 | 2 | yes | complemented |
| 26 | C8×C157 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | C22×C157 | — | 2 | 2 | no | — |
| 28 | C2×D157 | — | 2 | 2 | no | — |
| 29 | C2×D157 | — | 4 | 2 | no | — |
| 30 | C2×D157 | — | 4 | 2 | no | — |
| 31 | C2×D157 | C2×D4 | 1 | 1 | yes | characteristic |
| 32 | #10597845 | — | 2 | 2 | no | — |
| 33 | #10597845 | — | 4 | 2 | no | — |
| 34 | C4×C157 | C22×C4 | 1 | 1 | yes | characteristic |
| 35 | Dic157 | #41 | 1 | 1 | yes | characteristic |
| 36 | C2×C157 | — | 4 | 2 | no | — |
| 37 | C2×C157 | C4×D4 | 1 | 1 | yes | characteristic |
| 38 | D157 | — | 4 | 2 | no | — |
| 39 | D157 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 40 | C157 | #442 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 41 | #442 | — | 157 | 1 | no | maximal, Sylow |
| 42 | C2×D8 | — | 157 | 1 | no | — |
| 43 | C4×D4 | — | 157 | 2 | no | — |
| 44 | #106 | — | 157 | 1 | no | — |
| 45 | #102 | — | 157 | 2 | no | — |
| 46 | #97 | — | 157 | 1 | no | — |
| 47 | C2×D4 | — | 157 | 2 | no | — |
| 48 | C22×C4 | — | 314 | 2 | no | — |
| 49 | D8 | — | 157 | 2 | no | — |
| 50 | D8 | — | 157 | 1 | no | — |
| 51 | D8 | #10597845 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×C8 | — | 157 | 1 | no | — |
| 53 | C2×C8 | — | 157 | 1 | no | — |
| 54 | C4⋊C4 | — | 157 | 2 | no | — |
| 55 | C22⋊C4 | — | 314 | 2 | no | — |
| 56 | C42 | — | 157 | 1 | no | — |
| 57 | C23 | — | 314 | 2 | no | — |
| 58 | D4 | — | 314 | 2 | no | — |
| 59 | D4 | — | 157 | 2 | no | — |
| 60 | D4 | C2×#10597845 | 1 | 2 | yes | complemented |
| 61 | C2×C4 | — | 314 | 2 | no | — |
| 62 | C2×C4 | — | 628 | 4 | no | — |
| 63 | C2×C4 | — | 157 | 2 | no | — |
| 64 | C2×C4 | — | 157 | 1 | no | — |
| 65 | C8 | — | 314 | 1 | no | — |
| 66 | C8 | — | 157 | 1 | no | — |
| 67 | C8 | C2×#10597845 | 1 | 1 | yes | characteristic, complemented |
| 68 | C22 | — | 2 | 2 | no | — |
| 69 | C22 | — | 314 | 2 | no | — |
| 70 | C22 | — | 628 | 2 | no | — |
| 71 | C22 | — | 628 | 2 | no | — |
| 72 | C22 | — | 157 | 1 | no | — |
| 73 | C4 | — | 314 | 2 | no | — |
| 74 | C4 | — | 628 | 2 | no | — |
| 75 | C4 | — | 157 | 1 | no | — |
| 76 | C4 | C22×#10597845 | 1 | 1 | yes | characteristic |
| 77 | C2 | — | 4 | 2 | no | — |
| 78 | C2 | — | 628 | 2 | no | — |
| 79 | C2 | — | 157 | 2 | no | — |
| 80 | C2 | D4×#10597845 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta