Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
290 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 45. C2×Q8×C67 | Q8 | semidirect |
| 111. C67 | #2024 | semidirect |
| 142. C2×Q8 | Dic134 | semidirect |