Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
336 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 101 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. #16810359 | C2 | direct (N × H) |
| 5. C22×Dic106 | C4 | semidirect |
| 9. #13133196 | C4 | semidirect |
| 11. C2×C4⋊Dic53 | C4 | semidirect |
| 36. C2×Dic106 | C2×C4 | semidirect |
| 40. C4⋊Dic53 | C2×C4 | semidirect |
| 97. C2×C53 | #328 | semidirect |
| 105. C53 | C2×#328 | semidirect |
| 197. C2 | #16810359 | direct (N × H) |