Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
992 conjugacy classes of subgroups; only the 274 normal subgroups are shown.
This group has 992 conjugacy classes of subgroups — too many to draw. Only its 274 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. C32×#66851 | C3 | semidirect |
| 4. #15691671 | C3 | direct (N × H) |
| 5. C3×#11760442 | C3 | semidirect |
| 6. C3×#11760440 | C3 | semidirect |
| 7. C3×#11760439 | C3 | semidirect |
| 8. C3×#11760437 | C3 | semidirect |
| 9. C3×#11760435 | C3 | semidirect |
| 10. C3×C13×AΣL(1,𝔽27) | C3 | semidirect |
| 12. #11760454 | C32 | semidirect |
| 14. #11760452 | C32 | semidirect |
| 21. C3×#66851 | C32 | semidirect |
| 30. #11760442 | C32 | semidirect |
| 31. #11760440 | C32 | semidirect |
| 32. #11760439 | C32 | semidirect |
| 33. #11760437 | C32 | semidirect |
| 34. #11760435 | C32 | semidirect |
| 38. C13×AΣL(1,𝔽27) | C32 | semidirect |
| 86. C3×AΣL(1,𝔽27) | C13⋊C3 | semidirect |
| 133. AΣL(1,𝔽27) | C3×C13⋊C3 | semidirect |
| 138. C3×C13 | #6913 | semidirect |
| 178. C13 | C3×#6913 | semidirect |
| 203. C3 | #15691671 | direct (N × H) |