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. #15691656 | C3 | direct (N × H) |
| 4. C3×#11760435 | C3 | semidirect |
| 5. C32×C13×H(3,𝔽3) | C3 | semidirect |
| 10. C3×#66851 | C32 | semidirect |
| 11. C3×#66851 | C32 | semidirect |
| 15. C3×C32⋊(C13⋊C3) | C32 | semidirect |
| 17. #11760435 | C32 | semidirect |
| 19. C34×C13 | C32 | semidirect |
| 23. C3×C13×H(3,𝔽3) | C32 | semidirect |
| 34. C33×C13 | C33 | semidirect |
| 46. #66851 | C33 | semidirect |
| 51. C32×H(3,𝔽3) | C13⋊C3 | semidirect |
| 74. C34 | C3×C13⋊C3 | semidirect |
| 87. C3×H(3,𝔽3) | C3×C13⋊C3 | semidirect |
| 95. C3×C13 | #6909 | semidirect |
| 110. C33 | C32×C13⋊C3 | semidirect |
| 122. C13 | C3×#6909 | semidirect |
| 147. C3 | #15691656 | direct (N × H) |