Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 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. #17989242 | C2 | semidirect |
| 2. #17988939 | C2 | semidirect |
| 3. #17988922 | C2 | semidirect |
| 4. #17988864 | C2 | semidirect |
| 5. #17988831 | C2 | semidirect |
| 6. #17988792 | C2 | semidirect |
| 7. #17988730 | C2 | semidirect |
| 8. C4×#11924013 | C2 | semidirect |
| 9. #17988665 | C2 | semidirect |
| 10. #17988586 | C2 | semidirect |
| 11. #547×C73 | C2 | semidirect |
| 99. D292 | #41 | semidirect |
| 133. C73 | #3330 | semidirect |
| 135. #547 | D73 | semidirect |