3. Given that \(\langle S, \circ \rangle = \{ (1), (1\ 2\ 3\ 4), (1\ 4\ 3\ 2), (1\ 3)(2\ 4) \} \) is the group of permutations on 4 symbols and \(B\) is the group defined by the following table:
\begin{array}{c|cccc}
* & p & q & r & s \\ \hline
p & q & r & s & p \\q & r & s & p & q \\r & s & p & q & r \\s & p & q & r & s
\end{array}
a. Construct the Cayley's table for \(\langle S, \circ \rangle\).
b. Determine whether \(\langle S, \circ \rangle \cong \langle B, * \rangle\).