Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
454 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #15689654 | C2 | semidirect |
| 2. C2×D4×Dic47 | C2 | semidirect |
| 3. #15689459 | C2 | semidirect |
| 4. #15689439 | C2 | semidirect |
| 5. #15689421 | C2 | semidirect |
| 6. #15689336 | C2 | semidirect |
| 7. #15689274 | C2 | semidirect |
| 8. #15689214 | C2 | semidirect |
| 9. D8×Dic47 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 15. #13094015 | C22 | semidirect |
| 16. #13094011 | C22 | semidirect |
| 19. #13093989 | C22 | semidirect |
| 25. D4×Dic47 | C22 | semidirect |
| 30. #13093958 | C22 | semidirect |
| 31. #13093955 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093949 | C22 | semidirect |
| 35. #13093945 | C22 | semidirect |
| 37. C8×Dic47 | C22 | semidirect |
| 152. C47 | #3105 | semidirect |