Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17989121 | C2 | semidirect |
| 2. #17988969 | C2 | semidirect |
| 3. #17988941 | C2 | semidirect |
| 4. #17988806 | C2 | semidirect |
| 5. #17988799 | C2 | semidirect |
| 6. #17988743 | C2 | semidirect |
| 7. #17988738 | C2 | semidirect |
| 8. #17988726 | C2 | semidirect |
| 10. #17988640 | C2 | semidirect |
| 11. C2×#124×C73 | C2 | semidirect |
| 12. C2×#11924018 | C22 | semidirect |
| 14. C2×#11924015 | C22 | semidirect |
| 17. #14556583 | C22 | semidirect |
| 18. #14556579 | C22 | semidirect |
| 22. C4×Dic146 | C22 | semidirect |
| 23. C4×D292 | C22 | semidirect |
| 26. C4⋊#10596831 | C22 | semidirect |
| 27. #14556515 | C22 | semidirect |
| 28. #14556515 | C22 | semidirect |
| 33. C4×#10596831 | C22 | semidirect |
| 144. C73 | #3211 | semidirect |
| 146. C2×#124 | D73 | semidirect |