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. C32×#66849 | C3 | semidirect |
| 3. #15691674 | C3 | direct (N × H) |
| 4. C3×#11760442 | C3 | semidirect |
| 5. C3×#11760440 | C3 | semidirect |
| 6. C3×#11760439 | C3 | semidirect |
| 7. C3×#11760437 | C3 | semidirect |
| 8. C3×#11760436 | C3 | semidirect |
| 9. C3×#11760434 | C3 | semidirect |
| 10. C3×C13×#737 | C3 | semidirect |
| 13. #11760453 | C32 | semidirect |
| 21. C3×#66849 | C32 | semidirect |
| 26. #11760442 | C32 | semidirect |
| 27. #11760440 | C32 | semidirect |
| 28. #11760439 | C32 | semidirect |
| 29. #11760437 | C32 | semidirect |
| 30. #11760436 | C32 | semidirect |
| 31. #11760434 | C32 | semidirect |
| 33. C13×#737 | C32 | semidirect |
| 78. C3×#737 | C13⋊C3 | semidirect |
| 110. #737 | C3×C13⋊C3 | semidirect |
| 137. C3×C13 | #6913 | semidirect |
| 178. C13 | C3×#6913 | semidirect |
| 203. C3 | #15691674 | direct (N × H) |