Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 123 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. Q8×Dic146 | C2 | semidirect |
| 2. #17988946 | C2 | semidirect |
| 4. #17988882 | C2 | semidirect |
| 5. #17988867 | C2 | semidirect |
| 6. #17988806 | C2 | semidirect |
| 8. #17988718 | C2 | semidirect |
| 9. #17988687 | C2 | semidirect |
| 10. C4×#11924018 | C2 | semidirect |
| 119. C73 | #3375 | semidirect |