Linear representation theory of unitriangular matrix group:UT(3,Zp^2)

Let $$p$$ be a prime number. This article describes the linear representation theory of the unitriangular matrix group of degree three over the ring $$\mathbb{Z}_{p^2} = \mathbb{Z}/p^2\mathbb{Z}$$.

Case $$p = 2$$
Essentially, the calculations above also work for the case $$p = 2$$, even though we don't strictly have the Lazard correspondence.