Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
200 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 106 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. #16811485 | C2 | direct (N × H) |
| 23. C2×#88322 | C8 | semidirect |
| 38. #88322 | C2×C8 | semidirect |
| 51. C2×C53 | #334 | semidirect |
| 58. C53 | C2×#334 | semidirect |
| 105. C2 | #16811485 | direct (N × H) |