Supercharacter theories for cyclic group:Z8

This article describes various supercharacter theories for cyclic group:Z8. We take the group a the integers mod 8, i.e., $$\mathbb{Z}/8\mathbb{Z}$$, and denote its elements $$0,1,2,3,4,5,6,7$$ with addition mod 8.

Summary
Each row represents a supercharacter theory. We describe the superconjugacy classes.