Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
948 conjugacy classes of subgroups; only the 268 normal subgroups are shown.
This group has 948 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. C3×#11760453 | C3 | semidirect |
| 4. #15691678 | C3 | semidirect |
| 5. #15691677 | C3 | semidirect |
| 6. #15691669 | C3 | semidirect |
| 7. #15691665 | C3 | semidirect |
| 8. #15691657 | C3 | semidirect |
| 9. #15691655 | C3 | semidirect |
| 10. #15691650 | C3 | semidirect |
| 11. C3×#11760438 | C3 | semidirect |
| 12. C3×C13×#731 | C3 | semidirect |
| 14. #11760454 | C32 | semidirect |
| 19. #11760452 | C32 | semidirect |
| 25. C3×#66848 | C32 | semidirect |
| 26. C3×#66849 | C32 | semidirect |
| 30. C3×C9×C13⋊C3 | C32 | semidirect |
| 31. #11760442 | C32 | semidirect |
| 33. #11760438 | C32 | semidirect |
| 34. #11760438 | C32 | semidirect |
| 35. #11760438 | C32 | semidirect |
| 36. #11760436 | C32 | semidirect |
| 37. #11760434 | C32 | semidirect |
| 41. C13×#731 | C32 | semidirect |
| 42. C13×#731 | C32 | semidirect |
| 43. C13×#731 | C32 | semidirect |
| 98. C3×#731 | C13⋊C3 | semidirect |
| 143. #731 | C3×C13⋊C3 | semidirect |
| 144. #731 | C3×C13⋊C3 | semidirect |
| 145. #731 | C3×C13⋊C3 | semidirect |
| 197. C13 | #10624935 | semidirect |