Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16810917 | C2 | semidirect |
| 3. #16810916 | C2 | semidirect |
| 6. #16810832 | C2 | semidirect |
| 7. #16810831 | C2 | semidirect |
| 76. C2×Dic53 | Q16 | semidirect |
| 112. C53 | #3249 | semidirect |