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. #16863927 | C2 | semidirect |
| 2. #16863796 | C2 | semidirect |
| 3. #16863779 | C2 | semidirect |
| 4. #16863749 | C2 | semidirect |
| 5. #16863654 | C2 | semidirect |
| 6. #16863640 | C2 | semidirect |
| 7. #16863508 | C2 | semidirect |
| 8. #16863502 | C2 | semidirect |
| 9. #16863493 | C2 | semidirect |
| 10. M16×Dic67 | C2 | semidirect |
| 110. C67 | #3183 | semidirect |