Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. #16811020 | C2 | semidirect |
| 3. #16811001 | C2 | semidirect |
| 4. #16810972 | C2 | semidirect |
| 7. #16810730 | C2 | semidirect |
| 8. #16810729 | C2 | semidirect |
| 9. #16810727 | C2 | semidirect |
| 117. C53 | #3185 | semidirect |