Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
348 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16864105 | C2 | semidirect |
| 2. #16863804 | C2 | semidirect |
| 3. #16863798 | C2 | semidirect |
| 4. #16863696 | C2 | semidirect |
| 5. #16863694 | C2 | semidirect |
| 6. #16863674 | C2 | semidirect |
| 7. #16863526 | C2 | semidirect |
| 54. D8×C67 | Q8 | semidirect |
| 97. C67 | #3389 | semidirect |
| 138. D8 | Dic134 | semidirect |