Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
252 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 73 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. #16810680 | C2 | semidirect |
| 3. #16810348 | C2 | semidirect |
| 5. C53×#432 | C2 | semidirect |
| 105. #432 | D53 | semidirect |
| 108. C53 | #1464 | semidirect |