Finding commutator of $\mathbb D_n$ and $\mathbb S_4$

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I have to find $[G,G]$ (the commutator of $G$) for the the dihedral group, $\mathbb D_n$ ; and the symmetric group, $\mathbb S_4$. What tools, theorems could I use in order to find these two commutators?. Any help would be appreciated.