Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
378 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16810967 | C2 | semidirect |
| 3. #16810962 | C2 | semidirect |
| 4. #16810881 | C2 | semidirect |
| 5. #16810862 | C2 | semidirect |
| 6. #16810780 | C2 | semidirect |
| 7. #16810777 | C2 | semidirect |
| 9. C53×#470 | C2 | semidirect |
| 115. #470 | D53 | semidirect |
| 120. C53 | #3202 | semidirect |