Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
408 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 408 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. #17989302 | C2 | semidirect |
| 2. #17989259 | C2 | semidirect |
| 3. #17988934 | C2 | semidirect |
| 4. #17988913 | C2 | semidirect |
| 5. #17988882 | C2 | semidirect |
| 6. #17988822 | C2 | semidirect |
| 7. #17988782 | C2 | semidirect |
| 8. #17988731 | C2 | semidirect |
| 9. C8×D292 | C2 | semidirect |
| 10. #17988582 | C2 | semidirect |
| 11. C4×SD16×C73 | C2 | semidirect |
| 133. C73 | #3305 | semidirect |
| 142. C4×SD16 | D73 | semidirect |