Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16811180 | C2 | semidirect |
| 2. #16810927 | C2 | semidirect |
| 3. #16810918 | C2 | semidirect |
| 4. #16810913 | C2 | semidirect |
| 5. #16810879 | C2 | semidirect |
| 7. #16810842 | C2 | semidirect |
| 8. #16810833 | C2 | semidirect |
| 9. #16810828 | C2 | semidirect |
| 10. #16810647 | C2 | semidirect |
| 145. C53 | #3252 | semidirect |