Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
384 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 115 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. #17989320 | C2 | semidirect |
| 2. #17988971 | C2 | semidirect |
| 3. #17988970 | C2 | semidirect |
| 5. #17988802 | C2 | semidirect |
| 6. #17988801 | C2 | semidirect |
| 7. #17988786 | C2 | semidirect |
| 8. C8×Dic146 | C2 | semidirect |
| 9. #17988681 | C2 | semidirect |
| 10. #17988669 | C2 | semidirect |
| 11. C4×D8×C73 | C2 | semidirect |
| 121. C73 | #3396 | semidirect |
| 132. C4×D8 | D73 | semidirect |