Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
980 conjugacy classes of subgroups; only the 268 normal subgroups are shown.
This group has 980 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. #15691698 | C3 | semidirect |
| 2. #15691697 | C3 | semidirect |
| 3. C32×#66851 | 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. #15691647 | C3 | semidirect |
| 11. C3×#11760435 | C3 | semidirect |
| 12. C3×C13×AΣL(1,𝔽27) | C3 | semidirect |
| 14. #11760454 | C32 | semidirect |
| 17. #11760452 | C32 | semidirect |
| 26. C3×#66851 | C32 | semidirect |
| 27. C3×#66851 | C32 | semidirect |
| 30. C32×C13⋊C9 | C32 | semidirect |
| 31. #11760442 | C32 | semidirect |
| 32. #11760440 | C32 | semidirect |
| 33. #11760439 | C32 | semidirect |
| 34. #11760437 | C32 | semidirect |
| 35. #11760435 | C32 | semidirect |
| 36. #11760435 | C32 | semidirect |
| 37. #11760435 | C32 | semidirect |
| 41. C13×AΣL(1,𝔽27) | C32 | semidirect |
| 42. C13×AΣL(1,𝔽27) | C32 | semidirect |
| 43. C13×AΣL(1,𝔽27) | C32 | semidirect |
| 99. C3×AΣL(1,𝔽27) | C13⋊C3 | semidirect |
| 150. AΣL(1,𝔽27) | C3×C13⋊C3 | semidirect |
| 151. AΣL(1,𝔽27) | C3×C13⋊C3 | semidirect |
| 152. AΣL(1,𝔽27) | C3×C13⋊C3 | semidirect |
| 205. C13 | #10624934 | semidirect |