Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
384 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 384 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 |
|---|---|---|
| 4. #16810917 | C2 | semidirect |
| 5. #16810832 | C2 | semidirect |
| 8. #16810717 | C2 | semidirect |
| 9. #16810715 | C2 | semidirect |
| 95. C2×Dic53 | Q16 | semidirect |
| 139. C53 | #3104 | semidirect |