It is knowknown that there are -up to conjugation- 5 classes of discrete subgroups of SU(2).One One way to show this is by means of the MckayMcKay correspondence. MyMy question is more regarding porductsproducts of $SU(2)$, say with $n$ factors. Well, since I am definitely not familiar with the correspondence above, I would like to ask wheterwhether I have any hope to classify all finite subgroups of the product of 2 or 3 timescopies of $SU(2)$ by following the same line of thoughtsthought. Or in case someone knows a more economical alternative, I would be very happy to listen to it.
replaced non-applicable tag; corrected typos and minor grammatical mistakes to improve readability
Ricardo Andrade
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