Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
206 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16811063 | C2 | semidirect |
| 2. C2×#13133163 | C2 | semidirect |
| 3. #16810898 | C2 | semidirect |
| 4. #16810439 | C2 | semidirect |
| 5. #16810430 | C2 | semidirect |
| 6. #16810407 | C2 | semidirect |
| 96. C53 | #2195 | semidirect |