Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
978 conjugacy classes of subgroups; only the 268 normal subgroups are shown.
This group has 978 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. #15691697 | C3 | semidirect |
| 3. C3×#11760454 | C3 | semidirect |
| 4. #15691662 | C3 | semidirect |
| 5. #15691661 | C3 | semidirect |
| 6. #15691660 | C3 | semidirect |
| 7. #15691659 | C3 | semidirect |
| 8. #15691658 | C3 | semidirect |
| 9. C3×#11760439 | C3 | semidirect |
| 10. C3×#11760437 | C3 | semidirect |
| 11. C13⋊C3×#731 | C3 | semidirect |
| 12. C13×#6910 | C3 | semidirect |
| 18. C3×#66851 | C32 | semidirect |
| 19. C3×#66851 | C32 | semidirect |
| 20. C3×#66851 | C32 | semidirect |
| 21. C3×#66848 | C32 | semidirect |
| 22. C3×#66849 | C32 | semidirect |
| 23. 3−1+2×C13⋊C3 | C32 | semidirect |
| 29. C32×C13⋊C9 | C32 | semidirect |
| 30. C3×C9×C13⋊C3 | C32 | semidirect |
| 31. #11760439 | C32 | semidirect |
| 32. #11760439 | C32 | semidirect |
| 33. #11760439 | C32 | semidirect |
| 34. #11760439 | C32 | semidirect |
| 35. #11760438 | C32 | semidirect |
| 36. #11760437 | C32 | semidirect |
| 37. #11760437 | C32 | semidirect |
| 38. #11760437 | C32 | semidirect |
| 39. #11760437 | C32 | semidirect |
| 40. C3×C13×3−1+2 | C32 | semidirect |
| 41. C3×C13×3−1+2 | C32 | semidirect |
| 43. C13×#731 | C32 | semidirect |
| 95. #6910 | C13⋊C3 | semidirect |
| 129. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 130. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 148. #731 | C3×C13⋊C3 | semidirect |
| 198. C13 | #10624931 | semidirect |