Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 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. D4×Dic146 | C2 | semidirect |
| 2. #17988939 | C2 | semidirect |
| 3. #17988928 | C2 | semidirect |
| 4. #17988879 | C2 | semidirect |
| 5. #17988831 | C2 | semidirect |
| 6. #17988792 | C2 | semidirect |
| 7. #17988725 | C2 | semidirect |
| 8. C4×#11924016 | C2 | semidirect |
| 9. #17988665 | C2 | semidirect |
| 10. #17988595 | C2 | semidirect |
| 127. C73 | #3329 | semidirect |