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
This shows how to determine if groups are isomorphic.