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Can someone suggest me some source where the author has classified all non-isomorphic groups of order $p^5$ ? I need complete classification (not upto isoclinism), and also in finitely presented form . I found that with increase in value of prime $p$, number of groups increases. So, can we completely classify all groups of order $p^5$ for any prime $p$, in finitely presented form or get their structure description ?

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    $\begingroup$ Eamonn O'Brien's papers, or Charles Leedham,'s Green's papers may include references to such results. Marshall Hall dealt with $2$-groups of order at most $64$, I think, so that includes $2^{5}$ obviously. $\endgroup$ – Geoff Robinson 2 days ago
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    $\begingroup$ @Geoff Your comment is useful to me. Thanks! $\endgroup$ – Setia H 2 days ago
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    $\begingroup$ Probably the classification is uniform for $p\ge 5$ (or at least large $p$). (Uniform doesn't mean the number is independent of $p$, but the description ought to be uniform.) $\endgroup$ – YCor 2 days ago
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    $\begingroup$ Fixed, and I changed a reference to include Dokchitser's site people.maths.bris.ac.uk/~matyd/GroupNames. $\endgroup$ – KConrad yesterday
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    $\begingroup$ See section 6.5 in https://arxiv.org/abs/1806.07462 (in german) $\endgroup$ – spin yesterday

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