Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#14556617 | C2 | semidirect |
| 2. C2×#14556597 | C2 | semidirect |
| 3. #17989168 | C2 | semidirect |
| 4. #17989154 | C2 | semidirect |
| 5. #17988839 | C2 | semidirect |
| 6. #17988832 | C2 | semidirect |
| 7. #17988822 | C2 | semidirect |
| 8. #17988815 | C2 | semidirect |
| 9. #17988627 | C2 | semidirect |
| 10. #17988584 | C2 | semidirect |
| 11. C2×#102×C73 | C2 | semidirect |
| 19. C2×#11924011 | C22 | semidirect |
| 20. C2×C8×D73 | C22 | semidirect |
| 24. #14556571 | C22 | semidirect |
| 26. #14556566 | C22 | semidirect |
| 32. #14556524 | C22 | semidirect |
| 33. #14556522 | C22 | semidirect |
| 34. #14556516 | C22 | semidirect |
| 35. #14556516 | C22 | semidirect |
| 36. #14556513 | C22 | semidirect |
| 37. #14556513 | C22 | semidirect |
| 60. #11924012 | D4 | semidirect |
| 152. C73 | #3062 | semidirect |
| 163. C2×#102 | D73 | semidirect |