Order of elements in a symmetric group

#group_theory

Let $S_{7}$ denote the symmetric group.
(a) Give an example of two non-conjugate elements of $S_{7}$ that have the same order.
(b) If $g \in S_{7}$ has maximal order, what is the order of $g$ ?
(c) Does the element $g$ that you found in part (b) lie in $A_{7}$ ? Fully justify your answer.
(d) Determine whether the set ${h \in S_{7} ∣ | h | = | g |}$ is a single conjugacy class in $S_{7}$ , where $g$ is the element you found in part (b).

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Let $S_7$ denote the symmetric group.
\begin{enumerate}[label=\alph*)]
	\item Give an example of two non-conjugate elements of $S_7$ that have the same order.
	\item If $g\in S_7$ has maximal order, what is the order of $g$?
	\item Does the element $g$ that you found in part (b) lie in $A_7$? Fully justify your answer.
	\item Determine whether the set $\{h\in S_7\mid |h|=|g|\}$ is a single conjugacy class in $S_7$, where $g$ is the element you found in part (b).
\end{enumerate}