File:Symmetries of square.svg

\documentclass[12pt,border=1pt,tikz,class=scrartcl]{standalone}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage{mathtools}
\usepackage{gensymb}

\usetikzlibrary{positioning,calc,arrows,decorations.markings}

\makeatother
 
\begin{document}
\large
\begin{tikzpicture}[thick,scale=2.7,>=latex]
	\draw [fill=brown!60] (.5,.5) -- ++(0,-1) -- ++(-1,0) -- ++(0,1) -- cycle;
	\draw [blue,thin] (0:-.6) -- (0:.6) (90:.6) -- (90:-.6) (45:.8) -- (45:-.8) (135:.8) -- (135:-.8);
	\node [purple] at (.25,.6) {Square};
	\draw [fill=brown!60,postaction={decorate},decoration={markings,
		mark=at position .15 with {\arrow[scale=2,black]{>}},
		mark=at position .4 with {\arrow[scale=2,black]{>}},
		mark=at position .65 with {\arrow[scale=2,black]{>}},
		mark=at position .9 with {\arrow[scale=2,black]{>}}}] 
		(.5,-2.5) -- ++(0,1) -- ++(-1,0) -- ++(0,-1) -- cycle;
	\node [red] at (0,-2) {\Large 4};
	\node [purple,text width=4em] at (.4,-1.3) {Gyrational square};
	\draw [fill=brown!60] (3,-2.5) -- ++(0,1) -- ++(-1.25,0) -- ++(0,-1) -- cycle;
	\draw [blue,thin] (1.6,-2) -- (3.15,-2) (2.375,-2.65) -- (2.375,-1.35);
	\node [purple] at (2.7,-1.4) {Rectangle};
	\draw [fill=brown!60] (-2.375,-2.5) -- ++(-.7,.5) -- ++(.7,.5) -- ++(.7,-.5) -- cycle;
	\draw [blue,thin] (-3.175,-2) -- ++(1.6,0) (-2.375,-2.6) -- ++(0,1.2);
	\node [purple] at (-1.8,-1.6) {Rhombus};
	\draw [fill=brown!60] (.7,-3.5) -- ++(-.2,-1) -- ++(-1.2,0) -- ++(.2,1) -- cycle;
	\node [red] at (0,-4) {\Large 2};
	\node [purple] at (0,-3.4) {Parallelogram};
	\draw [fill=brown!60] (2,-3.5) -- ++(.75,0) -- ++(.25,-1) -- ++(-1.25,0) -- cycle;
	\draw [blue,thin] (2.375,-4.6) -- ++(0,1.2);
	\node [purple,text width=4.5em] at (2.8,-3.3) {Isosceles trapezoid};
	\draw [fill=brown!60] (-2.375,-3.5) -- ++(.5,-.25) -- ++(-.5,-.75) -- ++(-.5,.75) -- cycle;
	\draw [blue,thin] (-2.375,-4.6) -- ++(0,1.2);
	\node [purple] at (-2,-3.4) {Kite};
	\draw [fill=brown!60] (-.5,-5.5) -- ++(1,-.2) -- ++(.2,-.8) -- ++(-1.1,.1) -- cycle;
	\node [purple] at (.4,-5.5) {Irregular};
	\draw [ultra thick,green!70!gray] 
		(0,-.7) -- ++(0,-.7)	(.7,-.7) -- ++(1,-.7)	(-.7,-.7) -- ++(-1,-.7)
		(0,-2.7) -- ++(0,-.6)	(-2.375,-2.7) -- ++(0,-.6)	(2.375,-2.7) -- ++(0,-.6)	(0,-4.7) -- ++(0,-.6)
		(-2,-2.5) -- ++(1.3,-.8)	(-2,-4.5) -- ++(1.3,-.8)	(2,-2.6) -- ++(-1.3,-.7)	(2,-4.6) -- ++(-1.3,-.7)
	;
	\draw [red] node at (.25,-.7) {(*44)}	node at (.75,-6) {(1)}
		node at (.25,-2.7) {(44)}	node at (2.7,-2.7) {(*22)}	node at (-2.1,-2.7) {(*22)}
		node at (.25,-4.7) {(22)}	node at (2.7,-4.7) {(*)}	node at (-2.1,-4.4) {(*)}
	;
	\draw [blue] node at (-.25,-.7) {r8}	node at (-.6,-6) {a1}
		node at (-.25,-2.7) {g4}	node at (2.2,-2.7) {p4}	node at (-2.6,-2.7) {d4}
		node at (-.25,-4.7) {g2}	node at (2.2,-4.7) {p2}	node at (-2.6,-4.4) {d2}
	;
\end{tikzpicture}
\end{document}