Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
162 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 162 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 |
|---|---|---|
| 2. #16863490 | C2 | semidirect |
| 4. #16863223 | C2 | semidirect |
| 5. #16863201 | C2 | semidirect |
| 6. C16×Dic67 | C2 | semidirect |
| 11. #14523987 | C4 | semidirect |
| 23. Dic268 | C2×C4 | semidirect |
| 30. C67⋊C16 | C2×C4 | semidirect |
| 62. Dic67 | SD32 | semidirect |
| 68. C67 | C4×SD32 | semidirect |