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Apr 25, 2020 at 8:23 comment added YCor Since it's not mentioned: for $p\ge 5$ there is (Malcev-Lazard) an equivalence of category between groups of order $p^4$ and Lie algebras of order $p^4$ over $\mathbf{Z}/p^4\mathbf{Z}$. So in a certain sense the classification is uniform for $p\ge 5$ (uniform doesn't mean the number of types depends on $p$ as it can involve parameters in $\mathbf{Z}/p\mathbf{Z}$, but the description is uniform). So the automorphism groups should be described in a uniform way too.
Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Jul 22, 2016 at 13:38 vote accept Giuliano Bianco
Jul 20, 2016 at 4:33 answer added Giuliano Bianco timeline score: 4
Jun 28, 2016 at 22:01 comment added yakov For $p=2$, si Hall-Senior, Atlas of groups of order $\le2^6$.
Feb 18, 2014 at 14:42 history edited Giuliano Bianco CC BY-SA 3.0
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Feb 10, 2014 at 10:02 history edited Giuliano Bianco CC BY-SA 3.0
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Feb 10, 2014 at 6:00 answer added Russ Woodroofe timeline score: 1
Feb 9, 2014 at 21:38 history edited Stefan Kohl CC BY-SA 3.0
Fixed a typo in the title.
Feb 9, 2014 at 7:33 answer added Jeff Adler timeline score: 7
Feb 9, 2014 at 0:25 comment added Russ Woodroofe It's not a complete answer to your question, but if you want to get some intuition, GAP (and hence SAGE) has a library of all groups of order $p^4$ built in. See gap-system.org/Packages/sgl.html
Feb 8, 2014 at 20:44 answer added Igor Rivin timeline score: 2
Feb 8, 2014 at 13:39 history asked Giuliano Bianco CC BY-SA 3.0