Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
378 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16863737 | C2 | semidirect |
| 3. #16863734 | C2 | semidirect |
| 4. #16863652 | C2 | semidirect |
| 5. #16863635 | C2 | semidirect |
| 6. #16863552 | C2 | semidirect |
| 7. #16863551 | C2 | semidirect |
| 131. C67 | #3202 | semidirect |