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. #17988922 | C2 | semidirect |
| 3. #17988908 | C2 | semidirect |
| 4. #17988905 | C2 | semidirect |
| 5. #17988821 | C2 | semidirect |
| 6. #17988814 | C2 | semidirect |
| 7. #17988738 | C2 | semidirect |
| 8. #17988730 | C2 | semidirect |
| 9. #17988721 | C2 | semidirect |
| 10. C2×C22⋊#10596831 | C2 | semidirect |
| 11. C2×#121×C73 | C2 | semidirect |
| 12. C2×#11924028 | C22 | semidirect |
| 13. C2×#11924016 | C22 | semidirect |
| 14. C2×#11924013 | C22 | semidirect |
| 15. C22×#10596831 | C22 | semidirect |
| 18. #14556570 | C22 | semidirect |
| 20. #14556565 | C22 | semidirect |
| 24. #14556550 | C22 | semidirect |
| 25. #14556524 | C22 | semidirect |
| 26. #14556522 | C22 | semidirect |
| 27. #14556514 | C22 | semidirect |
| 28. #14556512 | C22 | semidirect |
| 29. #14556512 | C22 | semidirect |
| 30. #14556511 | C22 | semidirect |
| 33. C22⋊#10596831 | C22 | semidirect |
| 159. C73 | #3188 | semidirect |
| 161. C2×#121 | D73 | semidirect |