Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16863946 | C2 | semidirect |
| 2. #16863791 | C2 | semidirect |
| 3. #16863786 | C2 | semidirect |
| 4. #16863766 | C2 | semidirect |
| 5. #16863762 | C2 | semidirect |
| 6. #16863618 | C2 | semidirect |
| 7. #16863611 | C2 | semidirect |
| 8. #16863556 | C2 | semidirect |
| 9. #16863539 | C2 | semidirect |
| 10. #16863453 | C2 | semidirect |
| 11. #529×C67 | C2 | semidirect |
| 141. C67 | #3219 | semidirect |
| 143. #529 | D67 | semidirect |