Consider the group whose group table is given as follows ( $e$ is the identity element ):

	$e$	$x_{1}$	$x_{2}$	$x_{3}$	$x_{4}$	$x_{5}$	$x_{6}$	$x_{7}$
$e$	$e$	$x_{1}$	$x_{2}$	$x_{3}$	$x_{4}$	$x_{5}$	$x_{6}$	$x_{7}$
$x_{1}$	$x_{1}$	$x_{2}$	$x_{3}$	$e$	$x_{5}$	$x_{6}$	$x_{7}$	$x_{4}$
$x_{2}$	$x_{2}$	$x_{3}$	$e$	$x_{1}$	$x_{6}$	$x_{7}$	$x_{4}$	$x_{5}$
$x_{3}$	$x_{3}$	$e$	$x_{1}$	$x_{2}$	$x_{7}$	$x_{4}$	$x_{5}$	$x_{6}$
$x_{4}$	$x_{4}$	$x_{7}$	$x_{6}$	$x_{5}$	$x_{2}$	$x_{1}$	$e$	$x_{3}$
$x_{5}$	$x_{5}$	$x_{4}$	$x_{7}$	$x_{6}$	$x_{3}$	$x_{2}$	$x_{1}$	$e$
$x_{6}$	$x_{6}$	$x_{5}$	$x_{4}$	$x_{7}$	$e$	$x_{3}$	$x_{2}$	$x_{1}$
$x_{7}$	$x_{7}$	$x_{6}$	$x_{5}$	$x_{4}$	$x_{1}$	$e$	$x_{3}$	$x_{2}$

Determine the order of the following elements and complete the table:

$x$	order( $x$ )
$x_{5}$
$x_{2}$
$x_{5} x_{2}$
$( x_{5} )^{2}( x_{2} )$
$x_{5}^{-1} x_{2}$