Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 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. #16810930 | C2 | semidirect |
| 3. #16810905 | C2 | semidirect |
| 4. #16810900 | C2 | semidirect |
| 5. #16810862 | C2 | semidirect |
| 7. #16810845 | C2 | semidirect |
| 8. #16810830 | C2 | semidirect |
| 9. #16810825 | C2 | semidirect |
| 10. C2×C4⋊#88322 | C2 | semidirect |
| 11. C53×#533 | C2 | semidirect |
| 134. #533 | D53 | semidirect |
| 145. C53 | #3248 | semidirect |