Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
160 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 57 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. #16863490 | C2 | semidirect |
| 4. #16863199 | C2 | semidirect |
| 6. #16863171 | C2 | semidirect |
| 7. #366×C67 | C2 | semidirect |
| 12. #14523988 | C4 | semidirect |
| 24. Dic268 | C2×C4 | semidirect |
| 36. C16×C67 | C2×C4 | semidirect |
| 68. C67 | #2175 | semidirect |
| 72. #366 | D67 | semidirect |
| 104. C16 | C4×D67 | semidirect |