Supercharacter theories for alternating group:A6

This page discusses the various possible supercharacter theories for alternating group:A6. Thus, it builds on a thorough understanding of the element structure of alternating group:A6, subgroup structure of alternating group:A6, and linear representation theory of alternating group:A6.

We describe the group $$A_6$$ as the alternating group on $$\{ 1,2,3,4,5,6 \}$$, and elements of the group are described by means of their cycle decompositions.