Finite permutation/1/Example

We consider the permutation

${\displaystyle {}x}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$
${\displaystyle {}\pi (x)}$	${\displaystyle {}2}$	${\displaystyle {}1}$	${\displaystyle {}5}$	${\displaystyle {}3}$	${\displaystyle {}4}$

We can write this as the product of the two cycles ${\displaystyle {}\langle 1,2\rangle }$ and ${\displaystyle {}\langle 3,5,4\rangle }$.