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×#11760453 | C3 | semidirect |
| 2. C13⋊C3×#737 | C3 | semidirect |
| 3. #15691681 | C3 | semidirect |
| 4. #15691678 | C3 | semidirect |
| 5. #15691676 | C3 | semidirect |
| 6. #15691672 | C3 | semidirect |
| 7. #15691668 | C3 | semidirect |
| 8. #15691664 | C3 | semidirect |
| 9. #15691659 | C3 | semidirect |
| 10. #15691654 | C3 | semidirect |
| 11. #15691651 | C3 | semidirect |
| 12. #15691648 | C3 | semidirect |
| 13. C13×#6908 | C3 | semidirect |
| 15. #11760454 | C32 | semidirect |
| 19. #11760453 | C32 | semidirect |
| 20. #11760452 | C32 | semidirect |
| 21. C3×#66851 | C32 | semidirect |
| 23. C3×#66848 | C32 | semidirect |
| 25. C3×#66849 | C32 | semidirect |
| 32. C3×C9×C13⋊C3 | C32 | semidirect |
| 33. #11760443 | C32 | semidirect |
| 34. #11760442 | C32 | semidirect |
| 37. #11760439 | C32 | semidirect |
| 38. #11760438 | C32 | semidirect |
| 39. #11760437 | C32 | semidirect |
| 40. #11760436 | C32 | semidirect |
| 41. #11760435 | C32 | semidirect |
| 42. #11760434 | C32 | semidirect |
| 43. C13×#737 | C32 | semidirect |
| 44. C32×C9×C13 | C32 | semidirect |
| 45. C13×#733 | C32 | semidirect |
| 47. C13×#731 | C32 | semidirect |
| 48. C13×AΣL(1,𝔽27) | C32 | semidirect |
| 102. #6908 | C13⋊C3 | semidirect |
| 129. #737 | C3×C13⋊C3 | semidirect |
| 142. C32×C9 | C3×C13⋊C3 | semidirect |
| 145. #733 | C3×C13⋊C3 | semidirect |
| 152. #731 | C3×C13⋊C3 | semidirect |
| 156. AΣL(1,𝔽27) | C3×C13⋊C3 | semidirect |
| 204. C13 | #10624929 | semidirect |