Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
146 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 57 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. #16810741 | C2 | semidirect |
| 3. #16810452 | C2 | semidirect |
| 4. #16810430 | C2 | semidirect |
| 5. #16810429 | C2 | semidirect |
| 6. C4×#11719908 | C2 | semidirect |
| 7. C53×#443 | C2 | semidirect |
| 10. #13133163 | C4 | semidirect |
| 11. #13133161 | C4 | semidirect |
| 12. #13133160 | C4 | semidirect |
| 13. #13133158 | C4 | semidirect |
| 74. #443 | D53 | semidirect |
| 79. C53 | #2178 | semidirect |