Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17989192 | C2 | semidirect |
| 2. #17988977 | C2 | semidirect |
| 3. #17988961 | C2 | semidirect |
| 4. #17988955 | C2 | semidirect |
| 5. #17988941 | C2 | semidirect |
| 6. #17988799 | C2 | semidirect |
| 7. #17988789 | C2 | semidirect |
| 8. #17988732 | C2 | semidirect |
| 9. #17988726 | C2 | semidirect |
| 10. #17988648 | C2 | semidirect |
| 11. #536×C73 | C2 | semidirect |
| 121. C73 | #3221 | semidirect |
| 123. #536 | D73 | semidirect |