Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#11719913 | C2 | semidirect |
| 3. #16811194 | C2 | semidirect |
| 4. #16811097 | C2 | semidirect |
| 5. #16810837 | C2 | semidirect |
| 6. #16810827 | C2 | semidirect |
| 7. #16810649 | C2 | semidirect |
| 8. #16810631 | C2 | semidirect |
| 9. C53×#416 | C2 | semidirect |
| 18. #13133215 | C22 | semidirect |
| 19. #13133204 | C22 | semidirect |
| 26. #13133146 | C22 | semidirect |
| 27. #13133140 | C22 | semidirect |
| 31. #103×C53 | C22 | semidirect |
| 32. #102×C53 | C22 | semidirect |
| 125. #416 | D53 | semidirect |
| 126. C53 | #3042 | semidirect |
| 148. #103 | C2×D53 | semidirect |
| 149. #102 | C2×D53 | semidirect |