Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
246 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 65 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. #16863452 | C2 | semidirect |
| 3. #16863418 | C2 | semidirect |
| 4. #16863142 | C2 | semidirect |
| 5. #16863139 | C2 | semidirect |
| 6. #16863139 | C2 | semidirect |
| 7. #332×C67 | C2 | semidirect |
| 98. C67 | #1557 | semidirect |
| 103. #332 | D67 | semidirect |