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## Homework Statement

- List all nonisomorphic abelian groups of order 2^3 3^2 5

## Homework Equations

## The Attempt at a Solution

- Z_2^3 * Z_3^2 * Z_5 = (iso) Z_360.

Z_2^3 * Z_3 * Z_3 * Z_5 = (iso) Z_3 * Z_100

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I know ,

but why Z_360 , Z_3 * Z_100 are nonisomorphic to 2^3 3^2 5 ?