Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
276 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 11. #14524042 | C4 | semidirect |
| 31. C2×C67⋊C8 | Q8 | semidirect |
| 44. C2×C8×C67 | Q8 | semidirect |
| 102. C67 | #1993 | semidirect |
| 139. C2×C8 | Dic134 | semidirect |