${\displaystyle {}\sigma ^{2}}$

${\displaystyle {}x}$	${\displaystyle {}1}$	${\displaystyle {}2}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}5}$	${\displaystyle {}6}$	${\displaystyle {}7}$	${\displaystyle {}8}$	${\displaystyle {}9}$	${\displaystyle {}10}$
${\displaystyle {}\sigma (x)}$	${\displaystyle {}8}$	${\displaystyle {}3}$	${\displaystyle {}4}$	${\displaystyle {}6}$	${\displaystyle {}9}$	${\displaystyle {}10}$	${\displaystyle {}5}$	${\displaystyle {}2}$	${\displaystyle {}7}$	${\displaystyle {}1}$

beschrieben.

${\displaystyle 1\mapsto 4\mapsto 8\mapsto 6\mapsto 2\mapsto 10\mapsto 3\mapsto 1,\,5\mapsto 7\mapsto 9\mapsto 5.}$

Die Zykelzerlegung ist also

${\displaystyle {}\sigma =(1,4,8,6,2,10,3)(5,7,9)\,.}$