Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
404 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#13133142 | C2 | semidirect |
| 4. #16810386 | C2 | semidirect |
| 9. #13133196 | C4 | semidirect |
| 36. C2×Dic106 | C2×C4 | semidirect |
| 44. C4⋊Dic53 | C2×C4 | semidirect |
| 83. C22×C53 | #103 | semidirect |
| 111. C53 | #1872 | semidirect |
| 189. C22 | #13133142 | semidirect |