Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
332 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17988986 | C2 | semidirect |
| 3. #17988944 | C2 | semidirect |
| 4. #17988928 | C2 | semidirect |
| 6. #17988879 | C2 | semidirect |
| 7. #17988874 | C2 | semidirect |
| 8. #17988869 | C2 | semidirect |
| 9. #17988864 | C2 | semidirect |
| 10. #17988640 | C2 | semidirect |
| 11. #533×C73 | C2 | semidirect |
| 130. C73 | #3233 | semidirect |
| 131. #533 | D73 | semidirect |