Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
1196 conjugacy classes of subgroups; only the 274 normal subgroups are shown.
This group has 1196 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. C3×3−1+2×C13⋊C3 | C3 | semidirect |
| 2. C32×C32⋊(C13⋊C3) | C3 | semidirect |
| 3. C3×H(3,𝔽3)×C13⋊C3 | C3 | semidirect |
| 4. #15691654 | C3 | direct (N × H) |
| 5. C3×#11760436 | C3 | semidirect |
| 6. C3×#11760435 | C3 | semidirect |
| 7. C3×#11760434 | C3 | semidirect |
| 8. C3×C13×AΣL(1,𝔽27) | C3 | semidirect |
| 11. C33×C13⋊C3 | C32 | semidirect |
| 12. C3×#66851 | C32 | semidirect |
| 16. 3−1+2×C13⋊C3 | C32 | semidirect |
| 22. C3×C32⋊(C13⋊C3) | C32 | semidirect |
| 24. H(3,𝔽3)×C13⋊C3 | C32 | semidirect |
| 26. #11760436 | C32 | semidirect |
| 27. #11760435 | C32 | semidirect |
| 28. #11760434 | C32 | semidirect |
| 29. C34×C13 | C32 | semidirect |
| 30. C3×C13×3−1+2 | C32 | semidirect |
| 32. C13×AΣL(1,𝔽27) | C32 | semidirect |
| 39. C33×C13 | C33 | semidirect |
| 51. C32×C13⋊C3 | C33 | semidirect |
| 53. C13×3−1+2 | C33 | semidirect |
| 63. #66851 | C33 | semidirect |
| 75. C3×AΣL(1,𝔽27) | C13⋊C3 | semidirect |
| 104. C34 | C3×C13⋊C3 | semidirect |
| 110. C3×3−1+2 | C3×C13⋊C3 | semidirect |
| 124. AΣL(1,𝔽27) | C3×C13⋊C3 | semidirect |
| 129. C3×C13 | #6909 | semidirect |
| 152. C33 | C32×C13⋊C3 | semidirect |
| 158. 3−1+2 | C32×C13⋊C3 | semidirect |
| 169. C13 | C3×#6909 | semidirect |
| 203. C3 | #15691654 | direct (N × H) |