Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 1. #16863930 | C2 | semidirect |
| 2. #16863798 | C2 | semidirect |
| 3. #16863780 | C2 | semidirect |
| 4. #16863751 | C2 | semidirect |
| 5. #16863654 | C2 | semidirect |
| 7. #16863642 | C2 | semidirect |
| 8. #16863509 | C2 | semidirect |
| 9. #16863504 | C2 | semidirect |
| 10. #16863498 | C2 | semidirect |
| 11. C4×M16×C67 | C2 | semidirect |
| 110. C67 | #3183 | semidirect |
| 121. C4×M16 | D67 | semidirect |