Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
444 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 444 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 |
|---|---|---|
| 1. #16811175 | C2 | semidirect |
| 3. #16810959 | C2 | semidirect |
| 4. #16810956 | C2 | semidirect |
| 5. #16810901 | C2 | semidirect |
| 6. #16810826 | C2 | semidirect |
| 8. #16810724 | C2 | semidirect |
| 9. #16810720 | C2 | semidirect |
| 10. #16810677 | C2 | semidirect |
| 14. #13133216 | C22 | semidirect |
| 15. #13133215 | C22 | semidirect |
| 19. Q8×Dic53 | C22 | semidirect |
| 21. #13133182 | C22 | semidirect |
| 30. #13133151 | C22 | semidirect |
| 31. #13133150 | C22 | semidirect |
| 32. #13133146 | C22 | semidirect |
| 33. #13133142 | C22 | semidirect |
| 34. #13133141 | C22 | semidirect |
| 37. #13133127 | C22 | semidirect |
| 148. C53 | #3110 | semidirect |