Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
340 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 340 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. #16811027 | C2 | semidirect |
| 3. #16810967 | C2 | semidirect |
| 4. #16810964 | C2 | semidirect |
| 5. #16810907 | C2 | semidirect |
| 6. #16810865 | C2 | semidirect |
| 7. #16810864 | C2 | semidirect |
| 8. #16810717 | C2 | semidirect |
| 10. #16810660 | C2 | semidirect |
| 11. C53×#427 | C2 | semidirect |
| 125. #427 | D53 | semidirect |
| 126. C53 | #3342 | semidirect |