Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
5804 conjugacy classes of subgroups; only the 2920 normal subgroups are shown.
This group has 5804 conjugacy classes of subgroups — too many to draw. Only its 2920 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 | direct (N × H) |
| 2. C32×#66851 | C3 | semidirect |
| 3. C32×#66848 | C3 | semidirect |
| 4. C32×#66849 | C3 | semidirect |
| 6. C33×C13⋊C9 | C3 | semidirect |
| 7. C32×C9×C13⋊C3 | C3 | semidirect |
| 8. C32×C13×3−1+2 | C3 | semidirect |
| 10. #11760454 | C32 | direct (N × H) |
| 11. C3×#66851 | C32 | semidirect |
| 12. C3×#66848 | C32 | semidirect |
| 13. C3×#66849 | C32 | semidirect |
| 19. C32×C13⋊C9 | C32 | semidirect |
| 20. C3×C9×C13⋊C3 | C32 | semidirect |
| 22. C3×C13×3−1+2 | C32 | semidirect |
| 30. C13×3−1+2 | C33 | semidirect |
| 33. #66851 | C33 | semidirect |
| 38. C3×C13⋊C9 | C33 | semidirect |
| 39. #66849 | C33 | semidirect |
| 40. #66848 | C33 | semidirect |
| 41. C9×C13⋊C3 | C33 | semidirect |
| 46. C32×3−1+2 | C13⋊C3 | semidirect |
| 51. C32×C13 | #737 | semidirect |
| 67. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 77. C3×C13 | C3×#737 | semidirect |
| 88. 3−1+2 | C32×C13⋊C3 | semidirect |
| 97. C13 | C32×#737 | semidirect |
| 101. C32 | #11760454 | direct (N × H) |
| 111. C3 | C3×#11760454 | direct (N × H) |