Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
1088 conjugacy classes of subgroups; only the 292 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 292 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×#66851 | C3 | semidirect |
| 3. #15691661 | C3 | direct (N × H) |
| 4. C3×#11760438 | C3 | semidirect |
| 5. C32×C13×3−1+2 | C3 | semidirect |
| 10. C3×#66851 | C32 | semidirect |
| 11. C3×#66851 | C32 | semidirect |
| 17. #11760438 | C32 | semidirect |
| 22. C3×C13×3−1+2 | C32 | semidirect |
| 23. C32×C9×C13 | C32 | semidirect |
| 38. C3×C9×C13 | C33 | semidirect |
| 45. #66851 | C33 | semidirect |
| 49. C32×3−1+2 | C13⋊C3 | semidirect |
| 78. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 84. C32×C9 | C3×C13⋊C3 | semidirect |
| 90. C3×C13 | #6910 | semidirect |
| 115. C3×C9 | C32×C13⋊C3 | semidirect |
| 116. C13 | C3×#6910 | semidirect |
| 137. C3 | #15691661 | direct (N × H) |