Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
348 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. #16810980 | C2 | semidirect |
| 4. #16810920 | C2 | semidirect |
| 5. #16810905 | C2 | semidirect |
| 6. #16810845 | C2 | semidirect |
| 8. Q8×#88322 | C2 | semidirect |
| 9. C4×#11719925 | C2 | semidirect |
| 10. C4×#11719924 | C2 | semidirect |
| 11. C53×#557 | C2 | semidirect |
| 119. #557 | D53 | semidirect |
| 129. C53 | #3365 | semidirect |