Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 1. C2×#13133250 | C2 | semidirect |
| 3. C2×#13133204 | C2 | semidirect |
| 4. #16811091 | C2 | semidirect |
| 5. #16810844 | C2 | semidirect |
| 6. #16810837 | C2 | semidirect |
| 7. #16810646 | C2 | semidirect |
| 8. #16810631 | C2 | semidirect |
| 9. C53×#418 | C2 | semidirect |
| 14. C2×Dic212 | C22 | semidirect |
| 15. C2×#11719913 | C22 | semidirect |
| 22. #13133182 | C22 | semidirect |
| 23. #13133179 | C22 | semidirect |
| 29. #13133146 | C22 | semidirect |
| 30. #13133140 | C22 | semidirect |
| 134. #418 | D53 | semidirect |
| 135. C53 | #3040 | semidirect |