Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16811173 | C2 | semidirect |
| 2. #16811018 | C2 | semidirect |
| 3. #16811013 | C2 | semidirect |
| 4. #16810993 | C2 | semidirect |
| 5. #16810989 | C2 | semidirect |
| 6. #16810845 | C2 | semidirect |
| 7. #16810838 | C2 | semidirect |
| 8. #16810783 | C2 | semidirect |
| 9. #16810766 | C2 | semidirect |
| 10. #16810680 | C2 | semidirect |
| 11. C53×#529 | C2 | semidirect |
| 142. #529 | D53 | semidirect |
| 152. C53 | #3219 | semidirect |