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Isomorphic groups

I am trying to learn this material on my own to prepare for a future graduate course. I would like to see the solutions to this problem to have something to imitate when working other problems.

Decide which (if any) of the following are isomorphic to which:

(a) D3xS4 (b) D6xA4 (c) D4xD9

Dn=dihedral group of order 2n, An=alternating group of degree n, Sn=symmetric group of degree n

GxH=internal direct product of G and H


Solution Summary

This shows how to determine if groups are isomorphic.