Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
1196 conjugacy classes of subgroups; only the 292 normal subgroups are shown.
This group has 1196 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 |
| 2. C32×C32⋊(C13⋊C3) | C3 | semidirect |
| 3. C32×C32⋊(C13⋊C3) | C3 | semidirect |
| 4. #15691657 | C3 | direct (N × H) |
| 5. C3×#11760436 | C3 | semidirect |
| 6. C32×C13×3−1+2 | C3 | semidirect |
| 8. C33×C13⋊C3 | C32 | semidirect |
| 12. C3×#66851 | C32 | semidirect |
| 13. C3×#66851 | C32 | semidirect |
| 22. C3×C32⋊(C13⋊C3) | C32 | semidirect |
| 23. C3×C32⋊(C13⋊C3) | C32 | semidirect |
| 25. #11760436 | C32 | semidirect |
| 30. C3×C13×3−1+2 | C32 | semidirect |
| 31. C3×C13×3−1+2 | C32 | semidirect |
| 47. C32×C13⋊C3 | C33 | semidirect |
| 51. C13×3−1+2 | C33 | semidirect |
| 64. #66851 | C33 | semidirect |
| 68. C32×3−1+2 | C13⋊C3 | semidirect |
| 105. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 106. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 125. C3×C13 | #6909 | semidirect |
| 150. 3−1+2 | C32×C13⋊C3 | semidirect |
| 162. C13 | C3×#6909 | semidirect |
| 191. C3 | #15691657 | direct (N × H) |