Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 3. #16810967 | C2 | semidirect |
| 4. #16810966 | C2 | semidirect |
| 5. #16810960 | C2 | semidirect |
| 6. #16810955 | C2 | semidirect |
| 7. #16810666 | C2 | semidirect |
| 8. #16810631 | C2 | semidirect |
| 9. C2×#13133142 | C2 | semidirect |
| 11. C53×#427 | C2 | semidirect |
| 134. #427 | D53 | semidirect |
| 138. C53 | #3097 | semidirect |