Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14556622 | C2 | semidirect |
| 2. C2×#14556598 | C2 | semidirect |
| 4. #17988843 | C2 | semidirect |
| 5. #17988835 | C2 | semidirect |
| 6. #17988826 | C2 | semidirect |
| 7. #17988818 | C2 | semidirect |
| 8. #17988630 | C2 | semidirect |
| 9. #17988581 | C2 | semidirect |
| 10. C2×#14556515 | C2 | semidirect |
| 11. #536×C73 | C2 | semidirect |
| 54. #11924012 | D4 | semidirect |
| 144. C73 | #3063 | semidirect |
| 148. #536 | D73 | semidirect |