Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 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 |
|---|---|---|
| 2. C2×C4×Dic106 | C2 | semidirect |
| 3. #16810954 | C2 | semidirect |
| 5. #16810931 | C2 | semidirect |
| 6. #16810846 | C2 | semidirect |
| 7. #16810781 | C2 | semidirect |
| 9. C4×Dic212 | C2 | semidirect |
| 10. C4×#11719913 | C2 | semidirect |
| 11. C53×#431 | C2 | semidirect |
| 142. #431 | D53 | semidirect |
| 143. C53 | #3108 | semidirect |