Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
340 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16864124 | C2 | semidirect |
| 3. #16863763 | C2 | semidirect |
| 4. #16863747 | C2 | semidirect |
| 5. #16863706 | C2 | semidirect |
| 6. #16863691 | C2 | semidirect |
| 9. #16863526 | C2 | semidirect |
| 117. C67 | #3372 | semidirect |