# Finding the number of subgroups of order $p^2$ of $\mathbb{Z}_{p^3} \bigoplus \mathbb{Z}_{p^2}$.
What is the number of subgroups of $$\mathbb{Z}_{p^3} \bigoplus \mathbb{Z}_{p^2}$$?
I'm not really sure how to figure it out. I tried seeing subgroups of each $$\Bbb Z_{p^n}$$ but I'm not sure I'm going to get them all.