Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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. #16864019 | C2 | semidirect |
| 2. #16863800 | C2 | semidirect |
| 3. #16863781 | C2 | semidirect |
| 4. #16863757 | C2 | semidirect |
| 5. #16863644 | C2 | semidirect |
| 7. #16863499 | C2 | semidirect |
| 8. Q16×Dic67 | C2 | semidirect |
| 9. #16863478 | C2 | semidirect |
| 10. #16863351 | C2 | semidirect |
| 11. #467×C67 | C2 | semidirect |
| 118. C67 | #3175 | semidirect |
| 124. #467 | D67 | semidirect |