Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689454 | C2 | semidirect |
| 4. #15689434 | C2 | semidirect |
| 5. #15689425 | C2 | semidirect |
| 6. #15689336 | C2 | semidirect |
| 7. #15689274 | C2 | semidirect |
| 8. #15689235 | C2 | semidirect |
| 9. #15689220 | C2 | semidirect |
| 10. #15689177 | C2 | semidirect |
| 15. #13094015 | C22 | semidirect |
| 16. #13094011 | C22 | semidirect |
| 19. #13093989 | C22 | semidirect |
| 25. D4×Dic47 | C22 | semidirect |
| 30. #13093957 | C22 | semidirect |
| 31. #13093956 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093949 | C22 | semidirect |
| 35. #13093945 | C22 | semidirect |
| 37. #13093934 | C22 | semidirect |
| 152. C47 | #3114 | semidirect |