Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
440 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 153 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. #15689680 | C2 | semidirect |
| 2. #15689423 | C2 | semidirect |
| 3. #15689413 | C2 | semidirect |
| 4. #15689403 | C2 | semidirect |
| 5. #15689163 | C2 | semidirect |
| 6. #15689147 | C2 | semidirect |
| 10. #13094024 | C22 | semidirect |
| 11. #13094024 | C22 | semidirect |
| 12. #13094016 | C22 | semidirect |
| 18. #13093957 | C22 | semidirect |
| 19. #13093955 | C22 | semidirect |
| 20. C4⋊(C47⋊C8) | C22 | semidirect |
| 21. C4⋊(C47⋊C8) | C22 | semidirect |
| 36. C2×D4×C47 | Q8 | semidirect |
| 124. C47 | #3077 | semidirect |
| 154. C2×D4 | Dic94 | semidirect |