Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 129 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. #17989387 | C2 | semidirect |
| 2. C2×#14556617 | C2 | semidirect |
| 3. C2×#14556617 | C2 | semidirect |
| 4. #17989353 | C2 | semidirect |
| 5. #17988856 | C2 | semidirect |
| 6. #17988849 | C2 | semidirect |
| 7. #17988635 | C2 | semidirect |
| 8. #17988569 | C2 | semidirect |
| 9. C2×#100×C73 | C2 | semidirect |
| 13. #14556624 | C22 | semidirect |
| 15. #14556619 | C22 | semidirect |
| 22. C2×#11924016 | C22 | semidirect |
| 24. C2×#11924013 | C22 | semidirect |
| 25. #14556599 | C22 | semidirect |
| 30. #14556526 | C22 | semidirect |
| 31. #14556509 | C22 | semidirect |
| 32. #14556507 | C22 | semidirect |
| 36. #100×C73 | C22 | semidirect |
| 148. C73 | #3068 | semidirect |
| 157. C2×#100 | D73 | semidirect |
| 184. #100 | C2×D73 | semidirect |