Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 3. #16810974 | C2 | semidirect |
| 4. #16810959 | C2 | semidirect |
| 5. #16810919 | C2 | semidirect |
| 6. #16810864 | C2 | semidirect |
| 7. #16810834 | C2 | semidirect |
| 8. #16810781 | C2 | semidirect |
| 9. C4×Dic212 | C2 | semidirect |
| 10. C2×#13133142 | C2 | semidirect |
| 77. D4×C53 | Q16 | semidirect |
| 134. C53 | #3299 | semidirect |
| 208. D4 | Dic212 | semidirect |