Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
300 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#14523978 | C2 | semidirect |
| 3. C2×#14523970 | C2 | semidirect |
| 4. C2×#14523969 | C2 | semidirect |
| 5. #16863362 | C2 | semidirect |
| 6. C2×C8×Dic67 | C2 | semidirect |
| 7. #408×C67 | C2 | semidirect |
| 11. C2×#11761618 | C4 | semidirect |
| 12. C2×#11761616 | C4 | semidirect |
| 13. C2×#11761615 | C4 | semidirect |
| 14. C2×#11761613 | C4 | semidirect |
| 120. C67 | #1974 | semidirect |
| 126. #408 | D67 | semidirect |