Element structure of symmetric group:S6

This article describes the element structure of symmetric group:S6.

See also element structure of symmetric groups.

For convenience, we take the underlying set to be $$\{ 1,2,3,4,5,6\}$$.

Interpretation as symmetric group
For a symmetric group, cycle type determines conjugacy class, so the conjugacy classes are parametrized by the set of unordered integer partitions of the number 6.





Automorphism class structure


