I'm going insane. The question is:(adsbygoogle = window.adsbygoogle || []).push({});

List all abelian groups (up to isomorphism) of order 144.

There are 10 non-isomorphic groups of order 144 and I only have 9. Here they are:

Z2 X Z2 X Z2 X Z2 X Z3 X Z3

Z2 X Z2 X Z2 X Z2 X Z9

Z4 X Z2 X Z2 X Z3 X Z3

Z4 X Z2 X Z2 X Z9

Z8 X Z2 X Z3 X Z3

Z8 X Z2 X Z9

Z4 X Z4 X Z3 X Z3

Z4 X Z4 X Z9

Z16 X Z3 X Z3

(with the isomorphism being Z16 X Z9)

Anyone? Bueller?

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# Homework Help: Abstract Algebra

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