Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
240 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 69 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. #16810421 | C2 | direct (N × H) |
| 88. C2×C53 | #356 | semidirect |
| 94. C53 | C2×#356 | semidirect |
| 177. C2 | #16810421 | direct (N × H) |