Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14556598 | C2 | semidirect |
| 3. #17989165 | C2 | semidirect |
| 4. #17988838 | C2 | semidirect |
| 5. #17988831 | C2 | semidirect |
| 6. #17988821 | C2 | semidirect |
| 7. #17988814 | C2 | semidirect |
| 8. #17988630 | C2 | semidirect |
| 9. #17988581 | C2 | semidirect |
| 10. C2×#14556512 | C2 | semidirect |
| 11. #535×C73 | C2 | semidirect |
| 18. C2×#11924012 | C22 | semidirect |
| 20. C22×#10596831 | C22 | semidirect |
| 21. #14556570 | C22 | semidirect |
| 23. #14556565 | C22 | semidirect |
| 27. #14556524 | C22 | semidirect |
| 28. #14556522 | C22 | semidirect |
| 29. #14556514 | C22 | semidirect |
| 30. #14556514 | C22 | semidirect |
| 33. #14556511 | C22 | semidirect |
| 34. #14556511 | C22 | semidirect |
| 54. #11924012 | D4 | semidirect |
| 152. C73 | #3062 | semidirect |
| 156. #535 | D73 | semidirect |