Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16863876 | C2 | semidirect |
| 3. #16863735 | C2 | semidirect |
| 4. #16863725 | C2 | semidirect |
| 5. #16863719 | C2 | semidirect |
| 6. #16863713 | C2 | semidirect |
| 7. #16863439 | C2 | semidirect |
| 8. C2×#14523975 | C2 | semidirect |
| 9. #16863397 | C2 | semidirect |
| 10. #16863362 | C2 | semidirect |
| 11. #416×C67 | C2 | semidirect |
| 134. C67 | #3099 | semidirect |
| 144. #416 | D67 | semidirect |