Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
480 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 2. C2×#13133217 | C2 | semidirect |
| 3. #16810833 | C2 | semidirect |
| 4. #16810828 | C2 | semidirect |
| 5. #16810647 | C2 | semidirect |
| 6. #16810631 | C2 | semidirect |
| 89. C4×C53 | #137 | semidirect |
| 105. C53 | #3039 | semidirect |
| 188. C4 | #13133247 | semidirect |