Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 2. #17988937 | C2 | semidirect |
| 3. #17988920 | C2 | semidirect |
| 4. #17988882 | C2 | semidirect |
| 5. #17988826 | C2 | semidirect |
| 6. #17988794 | C2 | semidirect |
| 7. #17988743 | C2 | semidirect |
| 8. C4×#11924018 | C2 | semidirect |
| 10. C2×#14556515 | C2 | semidirect |
| 82. D4×C73 | Q16 | semidirect |
| 123. C73 | #3299 | semidirect |
| 208. D4 | #11924018 | semidirect |