Classification of automorphism groups of groups of order $p^4$

Question

For the purpose of classifying another algebraic structure which is parametrised by the choice of a group and of an automorphism I need the classification up to isomorphism of automorphism groups of p-groups of order $p^4$. I duly searched the web for a while and all the group theory manuals I could lay my hands on but I didn't find anything, not a hint. Could someone provide a reference? A good reference for the classification of groups of order $p^4$ would be useful too, since I found the following thesis On p-groups of low power order but a different reference to help me confront the possible approaches to the problem would be of great help!

Answer 1

For the classification of order $p^4$, you can find in Group Theory II, chapter 4 section 4, by M. Suzuki. Sorry I can not find classification of their automorphism groups.