Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
992 conjugacy classes of subgroups; only the 292 normal subgroups are shown.
This group has 992 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. C3×#11760453 | C3 | semidirect |
| 2. #15691679 | C3 | direct (N × H) |
| 3. C3×#11760443 | C3 | semidirect |
| 4. C3×#11760441 | C3 | semidirect |
| 5. C3×#11760438 | C3 | semidirect |
| 6. C3×#11760435 | C3 | semidirect |
| 7. C32×C13×3−1+2 | C3 | semidirect |
| 9. #11760453 | C32 | semidirect |
| 15. #11760443 | C32 | semidirect |
| 16. #11760441 | C32 | semidirect |
| 17. #11760438 | C32 | semidirect |
| 18. #11760435 | C32 | semidirect |
| 22. C3×C13×3−1+2 | C32 | semidirect |
| 52. C32×3−1+2 | C13⋊C3 | semidirect |
| 80. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 93. C3×C13 | #6913 | semidirect |
| 120. C13 | C3×#6913 | semidirect |
| 139. C3 | #15691679 | direct (N × H) |