Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×#13133182 | C2 | semidirect |
| 4. #16810929 | C2 | semidirect |
| 5. #16810848 | C2 | semidirect |
| 6. #16810778 | C2 | semidirect |
| 8. #16810727 | C2 | semidirect |
| 9. #16810722 | C2 | semidirect |
| 10. #16810677 | C2 | semidirect |
| 11. C53×#484 | C2 | semidirect |
| 134. #484 | D53 | semidirect |
| 143. C53 | #3117 | semidirect |