%% Dokumentdeklaration
\documentclass{book}

%% Präambel
\usepackage{graphicx}
\graphicspath{{images/},{../some-other/path/}}
\usepackage[ngerman]{babel}
\usepackage{wrapfig}

\usepackage{blindtext}

\begin{document}
\tableofcontents



\chapter{start}

\blindtext

    \begin{wrapfigure}{i}{0.5\textwidth}
%        \centering
%        \raggedleft
        \includegraphics[width=0.5\textwidth]{SAKYH}
        \caption{Karl's students }
%        \label{fig:Karlsstudents}
    \end{wrapfigure}    
\blindtext

\blindtext

\blindtext
\cleardoublepage
\addcontentsline{toc}{chapter}{\listfigurename}
\listoffigures

\end{document}