Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 2. #17988925 | C2 | semidirect |
| 3. #17988917 | C2 | semidirect |
| 4. #17988900 | C2 | semidirect |
| 5. #17988826 | C2 | semidirect |
| 6. #17988818 | C2 | semidirect |
| 7. #17988747 | C2 | semidirect |
| 8. #17988743 | C2 | semidirect |
| 9. #17988726 | C2 | semidirect |
| 10. C2×C22⋊#10596831 | C2 | semidirect |
| 11. C2×C22⋊Q8×C73 | C2 | semidirect |
| 13. C2×#11924018 | C22 | semidirect |
| 14. C2×#11924015 | C22 | semidirect |
| 25. #14556524 | C22 | semidirect |
| 26. #14556522 | C22 | semidirect |
| 27. #14556515 | C22 | semidirect |
| 28. #14556515 | C22 | semidirect |
| 29. #14556514 | C22 | semidirect |
| 30. #14556511 | C22 | semidirect |
| 150. C73 | #3190 | semidirect |
| 152. C2×C22⋊Q8 | D73 | semidirect |