Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 3. #16863800 | C2 | semidirect |
| 4. #16863745 | C2 | semidirect |
| 8. #16863690 | C2 | semidirect |
| 9. #16863689 | C2 | semidirect |
| 125. C67 | #3230 | semidirect |