Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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×#13133216 | C2 | semidirect |
| 3. #16811020 | C2 | semidirect |
| 4. #16810968 | C2 | semidirect |
| 5. #16810942 | C2 | semidirect |
| 6. #16810941 | C2 | semidirect |
| 7. #16810939 | C2 | semidirect |
| 8. #16810912 | C2 | semidirect |
| 9. #16810911 | C2 | semidirect |
| 10. #16810673 | C2 | semidirect |
| 11. C53×#481 | C2 | semidirect |
| 145. #481 | D53 | semidirect |
| 149. C53 | #3227 | semidirect |