Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
360 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16811343 | C2 | semidirect |
| 3. #16811003 | C2 | semidirect |
| 4. #16810844 | C2 | semidirect |
| 5. #16810828 | C2 | semidirect |
| 6. C8×Dic106 | C2 | semidirect |
| 7. #16810717 | C2 | semidirect |
| 93. C53 | #3393 | semidirect |