Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
356 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 139 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. #16811026 | C2 | semidirect |
| 3. #16810958 | C2 | semidirect |
| 4. #16810956 | C2 | semidirect |
| 5. #16810918 | C2 | semidirect |
| 6. #16810915 | C2 | semidirect |
| 7. #16810862 | C2 | semidirect |
| 8. C4×#11719925 | C2 | semidirect |
| 10. C2×#13133150 | C2 | semidirect |
| 77. D4×C53 | Q16 | semidirect |
| 129. C53 | #3338 | semidirect |
| 198. D4 | #11719925 | semidirect |