Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16811024 | C2 | semidirect |
| 3. #16811001 | C2 | semidirect |
| 4. #16810990 | C2 | semidirect |
| 8. #16810728 | C2 | semidirect |
| 9. C4×Dic212 | C2 | semidirect |
| 11. C4×Q16×C53 | C2 | semidirect |
| 121. C4×Q16 | D53 | semidirect |
| 123. C53 | #3177 | semidirect |