Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
366 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 366 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. #16863953 | C2 | semidirect |
| 3. #16863805 | C2 | semidirect |
| 4. #16863790 | C2 | semidirect |
| 5. #16863765 | C2 | semidirect |
| 6. #16863756 | C2 | semidirect |
| 7. #16863637 | C2 | semidirect |
| 9. #16863504 | C2 | semidirect |
| 10. #16863498 | C2 | semidirect |
| 11. C2×#97×C67 | C2 | semidirect |
| 130. C67 | #3181 | semidirect |
| 141. C2×#97 | D67 | semidirect |