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One can find a classification of all isomorphism types of finite subgroups of $SO(3)$ on, say, GroupProps: https://groupprops.subwiki.org/wiki/Classification_of_finite_subgroups_of_SO(3,R). However, I would like to know who is generally agreed to have first found this classification. Does anyone know?

Tom Sharpe
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    I'm voting to close this question as off-topic because it belongs to https://hsm.stackexchange.com/ – José Carlos Santos Mar 28 '19 at 10:37
  • @JoséCarlosSantos Possibly it would be a better fit there, but I am doubtful it would get an answer. Its a bit too technical (looking at the HSM front page). – user1729 Mar 28 '19 at 11:10
  • @JoséCarlosSantos What about this feels more historical than mathematical to you? The result happened in the past, but that doesn’t necessarily feel “historical.” I don’t think all reference/author requests of this kind should be shuffled off to HSM. – Santana Afton Mar 28 '19 at 11:38
  • It says here that questions concerning history and development of mathematics should be posted at the StackExchange site that I mentioned. – José Carlos Santos Mar 28 '19 at 13:01
  • @JoséCarlosSantos "should" is not the correct word. The link actually says "There are certain subjects that, while still on-topic here, might be better addressed by one of our sister sites" (emphasis mine). – user1729 Mar 28 '19 at 13:19

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According to nlab the earliest proof is due to Klein:

Felix Klein, chapter I of Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade, 1884, translated as Lectures on the Icosahedron and the Resolution of Equations of Degree Five by George Morrice 1888, online version

Sam
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