(a) List the elements of S3 x 2':2. (b) List the elements of the cyclic subgroup (((1
Chapter 15, Problem 15.21(choose chapter or problem)
a) List the elements of \(S_{3} \times \mathbb{Z}_{2}\).
(b) List the elements of the cyclic subgroup \(\left\langle\left(\left(\begin{array}{ll}
1 & 2
\end{array}\right),[1]\right)\right\rangle\) of \(S_{3} \times \mathbb{Z}_{2}\).
(c) List the elements of the cyclic subgroup \(\left\langle\left(\left(\begin{array}{lll}
1 & 2 & 3
\end{array}\right),[1]\right)\right\rangle\) of \(S_{3} \times \mathbb{Z}_{2}\).
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