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I'm taking a seminar in group theory, and the main focus of the course is the classification of low-order groups (by classification, I mean finding all of the groups of a given order). I've got the hang of classification of (some) groups G that are products of powers of 2 distinct primes p,q (that is, the order of G is p^{l}q^{m}). I'm having trouble when a power of a third prime r is thrown into the mix.

Can anyone point me to any online sources that treat this sort of thing? Specifically, it would be very helpful to find something for p=2, q=3, and r=5.

Thanks,

Tom

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# Classification of Groups of Order (p^l)(q^m)(r^n)

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