Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. #16811254 | C2 | semidirect |
| 3. #16810933 | C2 | semidirect |
| 4. #16810922 | C2 | semidirect |
| 5. #16810912 | C2 | semidirect |
| 6. #16810907 | C2 | semidirect |
| 7. #16810663 | C2 | semidirect |
| 8. #16810649 | C2 | semidirect |
| 11. C2×#106×C53 | C2 | semidirect |
| 46. #11719945 | Q8 | semidirect |
| 131. C2×#106 | D53 | semidirect |
| 135. C53 | #3084 | semidirect |