Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 2. #16810993 | C2 | semidirect |
| 3. #16810985 | C2 | semidirect |
| 4. #16810980 | C2 | semidirect |
| 5. #16810975 | C2 | semidirect |
| 6. #16810631 | C2 | semidirect |
| 9. C2×#13133140 | C2 | semidirect |
| 10. #16810579 | C2 | semidirect |
| 11. C53×#544 | C2 | semidirect |
| 128. #544 | D53 | semidirect |
| 139. C53 | #3137 | semidirect |