Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
166 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 3. #16811001 | C2 | semidirect |
| 5. #16810441 | C2 | semidirect |
| 6. #16810426 | C2 | semidirect |
| 7. C53×#358 | C2 | semidirect |
| 68. Dic53 | SD32 | semidirect |
| 80. #358 | D53 | semidirect |
| 81. C53 | #2208 | semidirect |