[Tex/LaTex] Sub-figures of different sizes grid layout

floatssubcaptionsubfloatstables

I have two subfigures that I want to align as such:
Ideal Layout

But what I got is this with the codes below:
Actual Layout

\documentclass{book}
\usepackage{subcaption}
\usepackage{pdfpages}

\begin{document}
\begin{figure}[!htb]
    \centering
    \begin{tabular}[t]{cc}
        \begin{tabular}[t]{c}
            \begin{subfigure}[t]{0.4\textwidth}
                \includegraphics[width=0.9\textwidth]{"fig/example/cat_tall"} 
                \caption{Cat 1} 
            \end{subfigure} 
        \end{tabular}
        &
        \begin{tabular}[t]{c}
            \begin{subfigure}[t]{0.4\textwidth}
                \centering
                \includegraphics[width=0.9\textwidth]{"fig/example/cat1"}
                \caption{Cat 2}
            \end{subfigure} 
            \\
            \begin{subfigure}[t]{0.4\textwidth}
                \centering
                \includegraphics[width=0.9\textwidth]{"fig/example/cat2"}
                \caption{Cat 3} 
            \end{subfigure}
        \end{tabular}
    \end{tabular}
    \caption{Cats}
\end{figure}
\end{document}

Best Answer

You nested tabular ... if you omit the first, the cute cats appear in the image as you desired.

\documentclass{article}
    \usepackage{caption}
    \usepackage{subcaption}
    \usepackage{graphicx}

\usepackage[active,floats,tightpage]{preview}
    \setlength\PreviewBorder{1em}

    \begin{document}
\begin{figure}[!htb]
    \centering
    \begin{tabular}[t]{|c|c|}
    \hline
\begin{subfigure}{0.4\textwidth}
    \centering
    \smallskip
    \includegraphics[width=0.9\linewidth,height=1.7\textwidth]{example-image-a}
    \caption{Cat 1} %{Light Unit}
\end{subfigure}
    &
        \begin{tabular}{c}% if you add [t], than sub images are pushed down
        \smallskip
            \begin{subfigure}[t]{0.4\textwidth}
                \centering
                \includegraphics[width=0.9\textwidth]{example-image-b}
                \caption{Cat 2}
            \end{subfigure}\\
            \begin{subfigure}[t]{0.4\textwidth}
                \centering
                \includegraphics[width=0.9\textwidth]{example-image-c}
                \caption{Cat 3}
            \end{subfigure}
        \end{tabular}\\
\hline
    \end{tabular}
    \caption{Cats}
\end{figure}
    \end{document}

Unfortunately I haven't pictures of cats, so instead of them I use example image from `graphics package and guess about cats heights. Lines in table are added only for orientation to see sub images positions. In final use they should be omitted

enter image description here

Edit: If you add option `[t] to inner table, it will push right sub images down as can be seen on second image (where the height is increased that this can be noticed)

enter image description here