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**1. Homework Statement**

Determine the number of non-isomorphic abelian groups of order

72, and list one group from each isomorphism class.

**3. The Attempt at a Solution**

72 = 2^3*3^2

3= 1+1+1= 2+1= 3 (3)

2= 1+1= 2 (2)

3*2 = 6

And then I get lost on the listing of a group from each isomorphism class.... Help?