Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 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. #17988894 | C2 | semidirect |
| 3. #17988879 | C2 | semidirect |
| 4. #17988874 | C2 | semidirect |
| 5. #17988843 | C2 | semidirect |
| 7. #17988809 | C2 | semidirect |
| 8. #17988794 | C2 | semidirect |
| 9. #17988789 | C2 | semidirect |
| 10. #17988611 | C2 | semidirect |
| 11. #533×C73 | C2 | semidirect |
| 134. C73 | #3252 | semidirect |
| 135. #533 | D73 | semidirect |