Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
752 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#11719923 | C2 | semidirect |
| 3. #16811194 | C2 | semidirect |
| 4. #16810785 | C2 | semidirect |
| 5. #16810774 | C2 | semidirect |
| 6. #16810628 | C2 | semidirect |
| 7. #16810619 | C2 | semidirect |
| 8. #16810590 | C2 | semidirect |
| 10. C22×Dic106 | C22 | semidirect |
| 12. C2×#11719925 | C22 | semidirect |
| 14. C2×#11719923 | C22 | semidirect |
| 15. C2×#11719923 | C22 | semidirect |
| 16. C2×#11719917 | C22 | semidirect |
| 17. C22×#88322 | C22 | semidirect |
| 21. #13133196 | C22 | semidirect |
| 22. #13133176 | C22 | semidirect |
| 23. #13133141 | C22 | semidirect |
| 24. #13133138 | C22 | semidirect |
| 25. #13133138 | C22 | semidirect |
| 26. C22⋊#88322 | C22 | semidirect |
| 156. C53 | #3009 | semidirect |