Hello all. Could you please help me to determine whether or not these are subgroups. Thanks, James

$\displaystyle G:=\Sigma_4$, $\displaystyle S=\left\{(a b)(c d)\right\}$ where the elements a,b,c,d are 1,2,3,4 (in any order, though must be distinct)

$\displaystyle G:=\Sigma_5$, $\displaystyle S=\left\{(a b)(c d)\right\}$ where the elements a,b,c,d are 1,2,3,4,5 (in any order, though must be distinct)