\documentclass{book}

\usepackage{hyperref}
\usepackage{caption}

\newtheorem{theorem}{Theorem}
\newtheorem{thm}{Theorem}[section]
\newtheorem{cor}[thm]{Corollary}
\newtheorem{prop}{Proposition}
\newtheorem{lem}[thm]{Lemma}

\newcommand*{\refs}[1]{#1 & \autoref{#1label} & \ref{#1label}}

\begin{document}

%\part{Part Name}\label{partlabel}

\chapter{Chapter Name}\label{chapterlabel}

\section{Section Name}\label{sectionlabel}

\subsection{Subsection Name}\label{subsectionlabel}

\subsubsection{Subsubsection Name}\label{subsubsectionlabel}

\section*{Other Section Name}\label{otherlabel}

\begin{figure}[h]\caption{Figure caption}\label{figurelabel}
The Figure
\end{figure}

\begin{table}[h]\caption{Table caption}\label{tablelabel}
The Table
\end{table}

\begin{minipage}{\linewidth}
\captionof{figure}{Captionoffigure caption}\label{captionoffigurelabel}
\end{minipage}

\begin{equation}\label{equationlabel}a+b\end{equation}

\begin{enumerate}
\item\label{itemlabel} First
\item Second\footnote{\label{footnotelabel}footnote text}
\end{enumerate}

\begin{theorem}\label{theoremlabel} Another Theorem\end{theorem}

\begin{thm}\label{thmlabel} Short Theorem\end{thm}
\begin{cor}\label{corlabel} Short Corollary\end{cor}
\begin{lem}\label{lemlabel} Short Lemma\end{lem}
\begin{thm}\label{thm2label} Another Short Theorem\end{thm}

\section{And thus}
\begin{tabular}{lll}
Thing & Autoref(Thing) & Ref(Thing) \\
%\refs{part} \\
\refs{chapter} \\
\refs{section} \\
\refs{subsection} \\
\refs{subsubsection} \\
\refs{figure} \\
\refs{table} \\
\refs{captionoffigure} \\
\refs{equation} \\
\refs{item} \\
\refs{footnote} \\
\refs{theorem}\\
\refs{thm}\\
\refs{cor}\\
\refs{lem}\\
\refs{thm2}\\
\end{tabular}

\end{document}