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 |
|---|---|---|
| 1. #17989307 | C2 | semidirect |
| 3. #17988934 | C2 | semidirect |
| 4. #17988912 | C2 | semidirect |
| 5. #17988873 | C2 | semidirect |
| 6. #17988816 | C2 | semidirect |
| 7. #17988788 | C2 | semidirect |
| 8. #17988751 | C2 | semidirect |
| 9. C4×Dic292 | C2 | semidirect |
| 10. #17988584 | C2 | semidirect |
| 11. C8×D4×C73 | C2 | semidirect |
| 128. C73 | #3304 | semidirect |
| 138. C8×D4 | D73 | semidirect |