Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
340 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 133 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. Q8×Dic134 | C2 | semidirect |
| 2. #16863806 | C2 | semidirect |
| 3. #16863799 | C2 | semidirect |
| 4. #16863700 | C2 | semidirect |
| 5. #16863688 | C2 | semidirect |
| 8. #16863527 | C2 | semidirect |
| 44. #11761616 | Q8 | semidirect |
| 116. C67 | #3385 | semidirect |