Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
488 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14556619 | C2 | semidirect |
| 2. C2×#14556617 | C2 | semidirect |
| 3. C22×#11924013 | C2 | semidirect |
| 4. C2×#14556599 | C2 | semidirect |
| 5. #17988856 | C2 | direct (N × H) |
| 6. C2×#14556526 | C2 | semidirect |
| 7. C2×#14556507 | C2 | semidirect |
| 8. C2×#100×C73 | C2 | semidirect |
| 12. #14556619 | C22 | semidirect |
| 14. #14556617 | C22 | semidirect |
| 22. C2×#11924013 | C22 | semidirect |
| 24. #14556599 | C22 | semidirect |
| 29. #14556526 | C22 | semidirect |
| 30. #14556507 | C22 | semidirect |
| 34. #100×C73 | C22 | semidirect |
| 139. C2×C73 | #472 | semidirect |
| 144. C73 | C2×#472 | semidirect |
| 152. C2×#100 | D73 | semidirect |
| 178. #100 | C2×D73 | semidirect |
| 285. C2 | #17988856 | direct (N × H) |