Fundamental Theorem of Finite Abelian Groups/Examples

Examples of Use of Fundamental Theorem of Finite Abelian Groups

Order $240$

There are $5$ distinct abelian groups of order $240$:

$C_{240}$
$C_2 \times C_{120}$
$C_4 \times C_{60}$
$C_2 \times C_2 \times C_{60}$
$C_2 \times C_2 \times C_2 \times C_{30}$