Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
| 45. M16×C67 | Q8 | semidirect |
| 52. C42×C67 | Q8 | semidirect |
| 96. C67 | #2061 | semidirect |
| 129. M16 | Dic134 | semidirect |
| 148. C42 | Dic134 | semidirect |