Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×#13133250 | C2 | semidirect |
| 3. C2×#13133247 | C2 | semidirect |
| 4. #16811389 | C2 | semidirect |
| 5. #16810897 | C2 | semidirect |
| 6. #16810885 | C2 | semidirect |
| 7. #16810671 | C2 | semidirect |
| 8. C2×#13133135 | C2 | semidirect |
| 9. C53×#413 | C2 | semidirect |
| 22. C2×#11719925 | C22 | semidirect |
| 24. C2×#11719923 | C22 | semidirect |
| 30. #13133152 | C22 | semidirect |
| 31. #13133135 | C22 | semidirect |
| 35. #101×C53 | C22 | semidirect |
| 36. #100×C53 | C22 | semidirect |
| 150. #413 | D53 | semidirect |
| 152. C53 | #3069 | semidirect |
| 178. #101 | C2×D53 | semidirect |
| 179. #100 | C2×D53 | semidirect |