Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17989098 | C2 | semidirect |
| 2. C2×#14556565 | C2 | semidirect |
| 3. #17988923 | C2 | semidirect |
| 4. #17988912 | C2 | semidirect |
| 5. #17988906 | C2 | semidirect |
| 6. #17988823 | C2 | semidirect |
| 7. #17988816 | C2 | semidirect |
| 8. #17988740 | C2 | semidirect |
| 9. #17988734 | C2 | semidirect |
| 10. #17988723 | C2 | semidirect |
| 11. C2×C22⋊C8×C73 | C2 | semidirect |
| 12. C2×#11924028 | C22 | semidirect |
| 15. C2×#11924017 | C22 | semidirect |
| 16. C2×D584 | C22 | semidirect |
| 19. #14556570 | C22 | semidirect |
| 25. #14556565 | C22 | semidirect |
| 29. #14556550 | C22 | semidirect |
| 32. #14556525 | C22 | semidirect |
| 33. #14556523 | C22 | semidirect |
| 34. #14556516 | C22 | semidirect |
| 35. #14556513 | C22 | semidirect |
| 36. #14556513 | C22 | semidirect |
| 37. #14556513 | C22 | semidirect |
| 39. C22×C8×C73 | C22 | semidirect |
| 42. C22⋊C8×C73 | C22 | semidirect |
| 159. C73 | #3188 | semidirect |
| 170. C2×C22⋊C8 | D73 | semidirect |
| 177. C22×C8 | C2×D73 | semidirect |
| 201. C22⋊C8 | C2×D73 | semidirect |