Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
338 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16863795 | C2 | semidirect |
| 3. #16863775 | C2 | semidirect |
| 4. #16863766 | C2 | semidirect |
| 5. #16863764 | C2 | semidirect |
| 8. #16863501 | C2 | semidirect |
| 9. C4×#11761618 | C2 | semidirect |
| 103. C67 | #3177 | semidirect |