Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
960 conjugacy classes of subgroups; only the 268 normal subgroups are shown.
This group has 960 conjugacy classes of subgroups — too many to draw. Only its 268 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. C3×#11760454 | C3 | semidirect |
| 2. C3×#11760452 | C3 | semidirect |
| 3. C3×#11760452 | C3 | semidirect |
| 4. #15691672 | C3 | semidirect |
| 5. #15691671 | C3 | semidirect |
| 6. #15691669 | C3 | semidirect |
| 7. #15691665 | C3 | semidirect |
| 8. #15691662 | C3 | semidirect |
| 9. #15691660 | C3 | semidirect |
| 10. #15691656 | C3 | semidirect |
| 11. #15691647 | C3 | semidirect |
| 12. C13×#6909 | C3 | semidirect |
| 19. #11760454 | C32 | semidirect |
| 20. #11760454 | C32 | semidirect |
| 21. #11760454 | C32 | semidirect |
| 30. #11760452 | C32 | semidirect |
| 31. #11760452 | C32 | semidirect |
| 32. #11760452 | C32 | semidirect |
| 38. C3×#66851 | C32 | semidirect |
| 39. C3×#66851 | C32 | semidirect |
| 45. C32×C13⋊C9 | C32 | semidirect |
| 47. #11760442 | C32 | semidirect |
| 49. #11760439 | C32 | semidirect |
| 50. #11760437 | C32 | semidirect |
| 51. #11760435 | C32 | semidirect |
| 55. C13×AΣL(1,𝔽27) | C32 | semidirect |
| 124. #6909 | C13⋊C3 | semidirect |
| 189. AΣL(1,𝔽27) | C3×C13⋊C3 | semidirect |
| 254. C13 | #10624929 | semidirect |