Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
326 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 326 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. #16811026 | C2 | semidirect |
| 3. #16811019 | C2 | semidirect |
| 4. #16810975 | C2 | semidirect |
| 5. #16810975 | C2 | semidirect |
| 7. #16810927 | C2 | semidirect |
| 112. C53 | #3231 | semidirect |