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×#66848 | C3 | semidirect |
| 4. #15691678 | C3 | direct (N × H) |
| 5. C3×#11760442 | C3 | semidirect |
| 6. C3×#11760440 | C3 | semidirect |
| 7. C3×#11760438 | C3 | semidirect |
| 8. C3×#11760436 | C3 | semidirect |
| 9. C3×#11760434 | C3 | semidirect |
| 10. C3×C13×#731 | C3 | semidirect |
| 13. #11760454 | C32 | semidirect |
| 15. #11760452 | C32 | semidirect |
| 23. C3×#66848 | C32 | semidirect |
| 30. #11760442 | C32 | semidirect |
| 31. #11760440 | C32 | semidirect |
| 32. #11760438 | C32 | semidirect |
| 33. #11760436 | C32 | semidirect |
| 34. #11760434 | C32 | semidirect |
| 38. C13×#731 | C32 | semidirect |
| 84. C3×#731 | C13⋊C3 | semidirect |
| 131. #731 | C3×C13⋊C3 | semidirect |
| 137. C3×C13 | #6913 | semidirect |
| 178. C13 | C3×#6913 | semidirect |
| 203. C3 | #15691678 | direct (N × H) |