Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. #16863932 | C2 | semidirect |
| 2. #16863796 | C2 | semidirect |
| 3. #16863781 | C2 | semidirect |
| 4. #16863752 | C2 | semidirect |
| 6. #16863644 | C2 | semidirect |
| 7. #16863507 | C2 | semidirect |
| 8. #16863503 | C2 | semidirect |
| 9. #16863499 | C2 | semidirect |
| 10. M16×Dic67 | C2 | semidirect |
| 11. #470×C67 | C2 | semidirect |
| 110. C67 | #3183 | semidirect |
| 115. #470 | D67 | semidirect |