Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
424 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 3. #16810972 | C2 | direct (N × H) |
| 99. C2×C53 | #487 | semidirect |
| 111. C53 | C2×#487 | semidirect |
| 201. C2 | #16810972 | direct (N × H) |