Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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. #16863705 | C2 | semidirect |
| 4. #16863701 | C2 | semidirect |
| 5. #16863689 | C2 | semidirect |
| 6. #16863679 | C2 | semidirect |
| 72. C2×Q8×C67 | Q8 | semidirect |
| 130. C67 | #3078 | semidirect |
| 177. C2×Q8 | Dic134 | semidirect |