Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16810958 | C2 | semidirect |
| 3. #16810956 | C2 | semidirect |
| 4. #16810862 | C2 | semidirect |
| 5. #16810779 | C2 | semidirect |
| 6. #16810778 | C2 | semidirect |
| 10. C2×#11719925 | C22 | semidirect |
| 19. #13133150 | C22 | semidirect |
| 20. #13133141 | C22 | semidirect |
| 21. #13133140 | C22 | semidirect |
| 68. C23×C53 | Q16 | semidirect |
| 129. C53 | #3189 | semidirect |
| 189. C23 | #11719925 | semidirect |