Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
216 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 85 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. #16810438 | C2 | direct (N × H) |
| 72. C2×C53 | #362 | semidirect |
| 78. C53 | C2×#362 | semidirect |
| 145. C2 | #16810438 | direct (N × H) |