Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 2. #17988935 | C2 | semidirect |
| 3. #17988911 | C2 | semidirect |
| 4. #17988869 | C2 | semidirect |
| 5. #17988818 | C2 | semidirect |
| 6. #17988787 | C2 | semidirect |
| 7. #17988747 | C2 | semidirect |
| 8. C4×#11924018 | C2 | semidirect |
| 9. D4×#10596831 | C2 | semidirect |
| 10. #17988581 | C2 | semidirect |
| 11. #556×C73 | C2 | semidirect |
| 128. C73 | #3304 | semidirect |
| 129. #556 | D73 | semidirect |