Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
340 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #16863804 | C2 | semidirect |
| 4. #16863803 | C2 | semidirect |
| 5. #16863800 | C2 | semidirect |
| 6. #16863796 | C2 | semidirect |
| 44. C2×C67⋊C8 | Q8 | semidirect |
| 65. M16×C67 | Q8 | semidirect |
| 113. C67 | #3164 | semidirect |
| 159. M16 | Dic134 | semidirect |