Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 3. #16863747 | C2 | semidirect |
| 4. #16863733 | C2 | semidirect |
| 5. #16863691 | C2 | semidirect |
| 6. #16863636 | C2 | semidirect |
| 7. #16863606 | C2 | semidirect |
| 8. #16863550 | C2 | semidirect |
| 10. #103×D67 | C2 | semidirect |
| 11. C4×Q16×C67 | C2 | semidirect |
| 91. D268 | Q16 | semidirect |
| 123. C67 | #3299 | semidirect |
| 132. C4×Q16 | D67 | semidirect |