Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
406 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 406 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. #17989259 | C2 | semidirect |
| 2. #17988977 | C2 | semidirect |
| 3. #17988961 | C2 | semidirect |
| 4. #17988799 | C2 | semidirect |
| 5. #17988789 | C2 | semidirect |
| 6. #17988787 | C2 | semidirect |
| 7. #17988782 | C2 | semidirect |
| 8. #17988718 | C2 | semidirect |
| 9. #17988685 | C2 | semidirect |
| 10. C4×#11924013 | C2 | semidirect |
| 11. #556×C73 | C2 | semidirect |
| 106. #10596831 | #41 | semidirect |
| 133. C73 | #3397 | semidirect |
| 134. #556 | D73 | semidirect |