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I am looking for a textbook or a paper which include the classification of groups of order $p^4$ ($p$ is prime) using generators and relations. In particular I like to understand which group $G$ "exist" for the odd $p$'s and do not exist for $p=2$.

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  • $\begingroup$ Have you looked in Berkovich? This seems like it must be in there somewhere. $\endgroup$ – Tobias Kildetoft Jan 7 '15 at 9:13
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    $\begingroup$ This was done by Burnside, and you can find the tables and proofs in his book "Theory of Groups of Finite Order" (which is not hard to find online). $\endgroup$ – Derek Holt Jan 7 '15 at 9:18
  • $\begingroup$ Related: math.stackexchange.com/questions/1162977 $\endgroup$ – Watson Jun 3 '16 at 19:16

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