Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
1088 conjugacy classes of subgroups; only the 274 normal subgroups are shown.
This group has 1088 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. C32×#66848 | C3 | semidirect |
| 2. C3×3−1+2×C13⋊C3 | C3 | semidirect |
| 4. #15691659 | C3 | direct (N × H) |
| 5. C3×#11760439 | C3 | semidirect |
| 6. C3×#11760438 | C3 | semidirect |
| 7. C3×#11760437 | C3 | semidirect |
| 8. C3×C13×#731 | C3 | semidirect |
| 11. C3×#66851 | C32 | semidirect |
| 16. C3×#66848 | C32 | semidirect |
| 19. 3−1+2×C13⋊C3 | C32 | semidirect |
| 24. C32×C13⋊C9 | C32 | semidirect |
| 26. #11760439 | C32 | semidirect |
| 27. #11760438 | C32 | semidirect |
| 28. #11760437 | C32 | semidirect |
| 29. C3×C13×3−1+2 | C32 | semidirect |
| 31. C32×C9×C13 | C32 | semidirect |
| 32. C13×#731 | C32 | semidirect |
| 45. C13×3−1+2 | C33 | semidirect |
| 51. C3×C9×C13 | C33 | semidirect |
| 56. #66851 | C33 | semidirect |
| 60. C3×C13⋊C9 | C33 | semidirect |
| 73. C3×#731 | C13⋊C3 | semidirect |
| 104. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 112. C32×C9 | C3×C13⋊C3 | semidirect |
| 116. #731 | C3×C13⋊C3 | semidirect |
| 120. C3×C13 | #6910 | semidirect |
| 142. 3−1+2 | C32×C13⋊C3 | semidirect |
| 156. C3×C9 | C32×C13⋊C3 | semidirect |
| 157. C13 | C3×#6910 | semidirect |
| 183. C3 | #15691659 | direct (N × H) |