Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
356 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. #16863801 | C2 | semidirect |
| 3. #16863732 | C2 | semidirect |
| 4. #16863692 | C2 | semidirect |
| 5. #16863637 | C2 | semidirect |
| 6. C4×Dic268 | C2 | semidirect |
| 7. C2×#14523977 | C2 | semidirect |
| 50. D4×C67 | Q16 | semidirect |
| 84. C67 | #3338 | semidirect |
| 137. D4 | Dic268 | semidirect |