Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 1. #16811154 | C2 | semidirect |
| 2. #16811023 | C2 | semidirect |
| 3. #16811006 | C2 | semidirect |
| 4. #16810976 | C2 | semidirect |
| 5. #16810881 | C2 | semidirect |
| 6. #16810867 | C2 | semidirect |
| 7. #16810735 | C2 | semidirect |
| 8. #16810729 | C2 | semidirect |
| 9. #16810720 | C2 | semidirect |
| 10. M16×Dic53 | C2 | semidirect |
| 121. C53 | #3183 | semidirect |