Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
704 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 161 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. C2×#13133247 | C2 | semidirect |
| 2. #16811194 | C2 | semidirect |
| 3. #16810806 | C2 | semidirect |
| 4. #16810801 | C2 | semidirect |
| 5. #16810640 | C2 | semidirect |
| 6. #16810607 | C2 | semidirect |
| 8. C22×Dic106 | C22 | semidirect |
| 10. #13133247 | C22 | semidirect |
| 13. C2×#11719917 | C22 | semidirect |
| 14. #13133215 | C22 | semidirect |
| 15. #13133204 | C22 | semidirect |
| 18. #13133176 | C22 | semidirect |
| 19. #13133144 | C22 | semidirect |
| 20. #13133136 | C22 | semidirect |
| 21. #13133134 | C22 | semidirect |
| 137. C53 | #3022 | semidirect |