Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16811330 | C2 | semidirect |
| 2. #16810973 | C2 | semidirect |
| 3. #16810951 | C2 | semidirect |
| 4. #16810913 | C2 | semidirect |
| 5. #16810879 | C2 | semidirect |
| 6. #16810830 | C2 | semidirect |
| 7. #16810785 | C2 | semidirect |
| 8. C4×#11719923 | C2 | semidirect |
| 9. #16810701 | C2 | semidirect |
| 10. #16810624 | C2 | semidirect |
| 138. C53 | #3331 | semidirect |