Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#11719925 | C2 | semidirect |
| 4. #16810896 | C2 | direct (N × H) |
| 5. C2×#13133152 | C2 | semidirect |
| 6. C2×#13133136 | C2 | semidirect |
| 7. C2×#13133135 | C2 | semidirect |
| 16. C2×#11719925 | C22 | semidirect |
| 25. #13133152 | C22 | semidirect |
| 26. #13133136 | C22 | semidirect |
| 27. #13133135 | C22 | semidirect |
| 132. C2×C53 | #473 | semidirect |
| 142. C53 | C2×#473 | semidirect |
| 265. C2 | #16810896 | direct (N × H) |