Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
466 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 145 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. #17989385 | C2 | semidirect |
| 2. C2×#14556619 | C2 | semidirect |
| 3. C2×#14556616 | C2 | semidirect |
| 4. #17988857 | C2 | semidirect |
| 5. #17988850 | C2 | semidirect |
| 6. #17988636 | C2 | semidirect |
| 7. #17988569 | C2 | semidirect |
| 8. C2×#14556507 | C2 | semidirect |
| 9. #568×C73 | C2 | semidirect |
| 13. #14556621 | C22 | semidirect |
| 19. #14556616 | C22 | semidirect |
| 21. C2×#11924017 | C22 | semidirect |
| 23. C2×D584 | C22 | semidirect |
| 27. #14556527 | C22 | semidirect |
| 28. #14556509 | C22 | semidirect |
| 29. #14556507 | C22 | semidirect |
| 30. #14556507 | C22 | semidirect |
| 33. #131×C73 | C22 | semidirect |
| 148. C73 | #3068 | semidirect |
| 152. #568 | D73 | semidirect |
| 175. #131 | C2×D73 | semidirect |