Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 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. #16811194 | C2 | semidirect |
| 2. #16810964 | C2 | semidirect |
| 3. #16810944 | C2 | semidirect |
| 4. #16810867 | C2 | semidirect |
| 5. #16810850 | C2 | semidirect |
| 6. #16810774 | C2 | semidirect |
| 7. #16810761 | C2 | semidirect |
| 8. #16810590 | C2 | semidirect |
| 10. C22×Dic106 | C22 | semidirect |
| 13. C2×#11719917 | C22 | semidirect |
| 14. C22×#88322 | C22 | semidirect |
| 20. #13133196 | C22 | semidirect |
| 21. #13133176 | C22 | semidirect |
| 22. #13133150 | C22 | semidirect |
| 23. #13133148 | C22 | semidirect |
| 24. #13133140 | C22 | semidirect |
| 25. #13133140 | C22 | semidirect |
| 29. C22⋊#88322 | C22 | semidirect |
| 147. C53 | #3200 | semidirect |