Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
150 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14523989 | C4 | semidirect |
| 59. Dic67 | Q32 | semidirect |
| 64. C67 | C4×Q32 | semidirect |