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 |
|---|---|---|
| 1. #16811343 | C2 | semidirect |
| 2. #16810973 | C2 | semidirect |
| 3. #16810961 | C2 | semidirect |
| 4. #16810903 | C2 | semidirect |
| 5. #16810862 | C2 | semidirect |
| 6. #16810830 | C2 | semidirect |
| 7. #16810785 | C2 | semidirect |
| 8. C4×#11719923 | C2 | semidirect |
| 9. D4×#88322 | C2 | semidirect |
| 10. #16810619 | C2 | semidirect |
| 137. C53 | #3302 | semidirect |