Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
704 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 209 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. #16811389 | C2 | semidirect |
| 3. #16810607 | C2 | semidirect |
| 4. #16810604 | C2 | semidirect |
| 5. C2×#13133135 | C2 | semidirect |
| 6. #101×D53 | C2 | semidirect |
| 7. C53×#413 | C2 | semidirect |
| 119. #413 | D53 | semidirect |
| 122. C53 | #2889 | semidirect |