\begin{tikzpicture}
	\begin{pgfonlayer}{nodelayer}
		\node [style=label] (0) at (-7, 3) {$3$};
		\node [style=label] (1) at (-7, 1) {$4$};
		\node [style=label] (2) at (-4, 2.75) {$5'$};
		\node [style=label] (3) at (-4.75, 1) {$4$};
		\node [style=label] (4) at (-2.5, 3) {$2$};
		\node [style=label] (5) at (-2.5, 1) {$3$};
		\node [style=label] (6) at (-3.25, 0.5) {$1$};
		\node [style=label] (7) at (-0.25, 2.25) {$5'$};
		\node [style=label] (8) at (-1, -0.25) {$1'$};
		\node [style=label] (9) at (2, 1.5) {$5$};
		\node [style=label] (10) at (1.25, -1) {$2$};
		\node [style=none] (11) at (-1, 0.75) {};
		\node [style=label] (12) at (-5, 3.5) {$1'$};
		\node [style=none] (13) at (-5.75, 3) {};
		\node [style=none] (14) at (-4.75, 2) {};
		\node [style=none] (15) at (-2.75, 3) {};
	\end{pgfonlayer}
	\begin{pgfonlayer}{edgelayer}
		\draw (0) to (1);
		\draw (1) to (3);
		\draw (6) to (4);
		\draw (3) to (5);
		\draw (5) to (4);
		\draw (4) to (7);
		\draw (7) to (9);
		\draw (9) to (10);
		\draw (10) to (8);
		\draw (6) to (8);
		\draw (7) to (11.center);
		\draw (11.center) to (5);
		\draw (11.center) to (8);
		\draw (0) to (13.center);
		\draw (13.center) to (12);
		\draw (13.center) to (2);
		\draw (12) to (14.center);
		\draw (14.center) to (3);
		\draw (14.center) to (2);
		\draw (12) to (15.center);
		\draw (15.center) to (2);
	\end{pgfonlayer}
\end{tikzpicture}