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×#13133248 | C2 | semidirect |
| 3. C2×#13133206 | C2 | semidirect |
| 4. #16811091 | C2 | semidirect |
| 5. #16810848 | C2 | semidirect |
| 6. #16810841 | C2 | semidirect |
| 7. #16810646 | C2 | semidirect |
| 8. #16810627 | C2 | semidirect |
| 9. C53×#419 | C2 | semidirect |
| 14. C2×#11719925 | C22 | semidirect |
| 16. C2×#11719924 | C22 | semidirect |
| 22. #13133182 | C22 | semidirect |
| 23. #13133179 | C22 | semidirect |
| 29. #13133146 | C22 | semidirect |
| 34. #103×C53 | C22 | semidirect |
| 133. #419 | D53 | semidirect |
| 135. C53 | #3040 | semidirect |
| 159. #103 | C2×D53 | semidirect |