| 1 | #19129186 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D4×D337 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #19129172 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D2696 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #19129170 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #19129168 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | SD16×C337 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C22×D337 | — | 2 | 1 | no | — |
| 9 | D1348 | — | 2 | 1 | no | — |
| 10 | D1348 | C22 | 1 | 1 | yes | characteristic |
| 11 | D1348 | C22 | 1 | 1 | yes | characteristic, complemented |
| 12 | C22⋊D337 | — | 2 | 1 | no | — |
| 13 | C4×D337 | — | 2 | 1 | no | — |
| 14 | C4×D337 | C22 | 1 | 1 | yes | characteristic |
| 15 | #14582106 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | Q8×C337 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | D4×C337 | C22 | 1 | 1 | yes | characteristic |
| 18 | C8×C337 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C22×C337 | — | 2 | 1 | no | — |
| 20 | C2×D337 | — | 2 | 1 | no | — |
| 21 | C2×D337 | — | 2 | 1 | no | — |
| 22 | C2×D337 | — | 4 | 2 | no | — |
| 23 | C2×D337 | D4 | 1 | 1 | yes | characteristic |
| 24 | C4×C337 | — | 2 | 1 | no | — |
| 25 | C4×C337 | C23 | 1 | 1 | yes | characteristic |
| 26 | Dic337 | D4 | 1 | 1 | yes | characteristic |
| 27 | C2×C337 | — | 4 | 1 | no | — |
| 28 | C2×C337 | C2×D4 | 1 | 1 | yes | characteristic |
| 29 | D337 | — | 2 | 1 | no | — |
| 30 | D337 | — | 4 | 1 | no | — |
| 31 | D337 | — | 4 | 1 | no | — |
| 32 | C337 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 33 | AGL(1,ℤ/8) | — | 337 | 1 | no | maximal, Sylow |
| 34 | #41 | — | 337 | 1 | no | — |
| 35 | C2×D4 | — | 337 | 1 | no | — |
| 36 | SD16 | — | 337 | 1 | no | — |
| 37 | SD16 | D337 | 1 | 1 | yes | characteristic, complemented |
| 38 | D8 | — | 337 | 1 | no | — |
| 39 | D8 | — | 337 | 1 | no | — |
| 40 | M16 | — | 337 | 1 | no | — |
| 41 | C23 | — | 674 | 1 | no | — |
| 42 | Q8 | C2×D337 | 1 | 1 | yes | characteristic, complemented |
| 43 | D4 | — | 337 | 1 | no | — |
| 44 | D4 | — | 337 | 1 | no | — |
| 45 | D4 | — | 674 | 1 | no | — |
| 46 | D4 | — | 674 | 1 | no | — |
| 47 | D4 | C2×D337 | 1 | 1 | yes | characteristic |
| 48 | C2×C4 | — | 337 | 1 | no | — |
| 49 | C2×C4 | — | 674 | 1 | no | — |
| 50 | C8 | — | 337 | 1 | no | — |
| 51 | C8 | C2×D337 | 1 | 1 | yes | characteristic, complemented |
| 52 | C22 | — | 2 | 1 | no | — |
| 53 | C22 | — | 1348 | 2 | no | — |
| 54 | C22 | — | 337 | 1 | no | — |
| 55 | C22 | — | 674 | 1 | no | — |
| 56 | C22 | — | 674 | 1 | no | — |
| 57 | C4 | — | 2 | 1 | no | — |
| 58 | C4 | — | 337 | 1 | no | — |
| 59 | C4 | C22×D337 | 1 | 1 | yes | characteristic |
| 60 | C2 | — | 4 | 1 | no | — |
| 61 | C2 | — | 1348 | 1 | no | — |
| 62 | C2 | — | 1348 | 1 | no | — |
| 63 | C2 | — | 674 | 1 | no | — |
| 64 | C2 | D4×D337 | 1 | 1 | yes | characteristic |
Finite Group Databasebeta