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Number of non isomorphic group of order 10
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The Number of Abelian Group of Order $P^{k}$ is the number of Partitions of k. P is Prime Number

$10=2^{1}*5^{1}$

Partition of 1 = {1} 

Number of Partition =1

please check https://gateoverflow.in/1219/gate2007-21

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