Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
428 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#13133182 | C2 | semidirect |
| 3. #16810941 | C2 | semidirect |
| 4. #16810907 | C2 | semidirect |
| 5. #16810822 | C2 | semidirect |
| 6. #16810764 | C2 | semidirect |
| 7. #16810761 | C2 | semidirect |
| 8. #16810714 | C2 | semidirect |
| 9. #16810710 | C2 | semidirect |
| 10. #16810673 | C2 | semidirect |
| 11. C53×#481 | C2 | semidirect |
| 101. C2×Dic53 | SD16 | semidirect |
| 111. Dic106 | #41 | semidirect |
| 144. #481 | D53 | semidirect |
| 152. C53 | #3103 | semidirect |