Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
246 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 29. #11761612 | Q8 | semidirect |
| 42. C4×Dic67 | Q8 | semidirect |
| 46. M16×C67 | Q8 | semidirect |
| 97. C67 | #2060 | semidirect |
| 130. M16 | Dic134 | semidirect |