Use subfloat to have figure and table side by side

Question

I oppose the solutions since there must be a simple solution with subfloat packge which also mentions tables doc

How do i get to compile this next to one another, figure left and table on the right. EDIT to be more clear: one caption for the figure and one for the table.

\document
class{article}
\usepackage{amsmath}
\begin{document}
    \begin{figure}[!t]
        \centering
        \subfloat[caption a. ]{\label{labelFIGURE}\includegraphics[width=0.5\textwidth]{figures/abs.png}}
        \subfloat[caption b.]{ 
           \begin{tabular}{@{}lllll@{}}
           J    & 0.0 & 0.25   & 0.5    & 1.0    \\
           300  & 0.0 & 25.07  & 50.14  & 100.28 \\ 
           kWh: & 0.0 & 125.00 & 250.00 & 500.00
           \end{tabular}  }
      %REMOVED:  \caption{common caption.}
        \label{labelTABLE}
    \end{figure}
\cref{labelTABLE} states .. 
\end{document}

should look like (better)

Answer 1

since your question is not clear, this answer is based on guessing:

\documentclass{article}
\usepackage[demo,       % in real document remove this option
            export]{adjustbox}
\usepackage{capt-of}

\begin{document}
    \begin{figure}[!tb]
    \centering
    \begin{minipage}[b]{0.45\linewidth}
    \centering
\includegraphics[width=0.5\textwidth]{figures/abs.png}
\caption{Figure}
\label{fig:FIGURE}
    \end{minipage}\hfil
\begin{minipage}[b]{0.45\linewidth}
    \centering
\begin{tabular}{@{}lllll@{}}
   J    & 0.0 & 0.25   & 0.5    & 1.0    \\
   300  & 0.0 & 25.07  & 50.14  & 100.28 \\
   kWh: & 0.0 & 125.00 & 250.00 & 500.00
   \end{tabular}
\captionof{table}{TABLE}
        \label{tab:TABLE}
\end{minipage}
    \end{figure}
Table \ref{tab:TABLE} summaries presented values on figure \ref{fig:FIGURE} \dots
\end{document}