Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
5804 conjugacy classes of subgroups; only the 2902 normal subgroups are shown.
This group has 5804 conjugacy classes of subgroups — too many to draw. Only its 2902 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×#11760453 | C3 | semidirect |
| 3. C3×#11760452 | C3 | semidirect |
| 4. C13⋊C3×#737 | C3 | direct (N × H) |
| 5. C3×3−1+2×C13⋊C3 | C3 | semidirect |
| 7. C32×C9×C13⋊C3 | C3 | semidirect |
| 8. C3×C13×#737 | C3 | semidirect |
| 10. #11760454 | C32 | semidirect |
| 11. #11760453 | C32 | semidirect |
| 12. #11760452 | C32 | semidirect |
| 13. C3×#66851 | C32 | semidirect |
| 14. C3×#66848 | C32 | semidirect |
| 15. C3×#66849 | C32 | semidirect |
| 16. 3−1+2×C13⋊C3 | C32 | semidirect |
| 19. C32×C13⋊C9 | C32 | semidirect |
| 22. C3×C9×C13⋊C3 | C32 | semidirect |
| 23. C3×C9×C13⋊C3 | C32 | semidirect |
| 24. C3×C9×C13⋊C3 | C32 | semidirect |
| 25. C13×#737 | C32 | semidirect |
| 26. C3×C13×3−1+2 | C32 | semidirect |
| 28. C32×C9×C13 | C32 | semidirect |
| 35. C13×3−1+2 | C33 | semidirect |
| 39. C3×C9×C13 | C33 | semidirect |
| 41. #66851 | C33 | semidirect |
| 44. C3×C13⋊C9 | C33 | semidirect |
| 45. #66849 | C33 | semidirect |
| 46. #66848 | C33 | semidirect |
| 49. C9×C13⋊C3 | C33 | semidirect |
| 50. C9×C13⋊C3 | C33 | semidirect |
| 55. C3×#737 | C13⋊C3 | direct (N × H) |
| 64. C3×C13⋊C3 | #737 | direct (N × H) |
| 75. #737 | C3×C13⋊C3 | direct (N × H) |
| 80. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 90. C32×C9 | C3×C13⋊C3 | semidirect |
| 92. C3×C13 | C3×#737 | semidirect |
| 95. C13⋊C3 | C3×#737 | direct (N × H) |
| 104. 3−1+2 | C32×C13⋊C3 | semidirect |
| 116. C3×C9 | C32×C13⋊C3 | semidirect |
| 117. C13 | C32×#737 | semidirect |
| 133. C3 | C13⋊C3×#737 | direct (N × H) |