- #1
Armoneus
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Homework Statement
Find at least 7 pairwise non-isomorphic groups of order 16, and prove that no two among them are isomorphic.
Homework Equations
I found 7 nonisomorphic groups, but I just am having trouble how to precisely prove they are not isomorphic...
The Attempt at a Solution
(Z16), (Z8 x Z2), (Z4 x Z4), (Z4 x Z2 x Z2), (Z2 x Z2 x Z2 x Z2)
(D8), (D4 x Z2)
but how to prove non-isomorphic character...?