Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556621 | C2 | semidirect |
| 4. C22×#11924018 | C2 | semidirect |
| 5. #17989163 | C2 | semidirect |
| 6. #17988982 | C2 | semidirect |
| 7. #17988979 | C2 | semidirect |
| 8. #17988969 | C2 | semidirect |
| 9. #17988966 | C2 | semidirect |
| 10. #17988543 | C2 | semidirect |
| 11. #536×C73 | C2 | semidirect |
| 144. C73 | #3156 | semidirect |
| 150. #536 | D73 | semidirect |