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# Determining isomorphisms between cyclic groups

Posted on 2011-03-17

I have three cyclic groups and need to determine an isomorphism between two of them.

I tried creating Cayley tables for all three groups and coloring in the different numbered squares, but since there are eight elements in each group I'm still finding it difficult to spot which are isomorphic.

Is there a better way to find which are isomorphic?

Note I know this is a pain, but I'd rather not give the actual question as I don't want to just be given the answer, I want to do it for myself, I just need to understand the method to apply.