I have the following commutative diagram made using tikz-cd.
Here is the code:
\documentclass[preview]{standalone}
\usepackage{geometry}
\geometry{letterpaper}
\usepackage{graphicx}
\usepackage{amssymb}
\usepackage{tikz-cd}
\def\Z{\mathbb{Z}}
\begin{document}
$$
\begin{tikzcd}[]
1 \arrow{r} & A_3 \arrow[hookrightarrow]{r}\arrow[equal]{d} & S_3 \arrow{r}{\textrm{sign}} & \langle \pm 1 \rangle\arrow[equal]{d} \arrow{r} & 1\
1 \arrow{r} &\Z/3\Z\arrow{r} & \Z/6\Z \arrow{r} & \Z/2\Z\arrow{r} & 1
\end{tikzcd}
$$
\end{document}
I want to show that S3 is not isomorphic to Z/6Z by a not equals sign or something of the sort. How would I do that?

\[ ... \]instead of$$ ... $$, cf. https://tex.stackexchange.com/questions/503/why-is-preferable-to – DG' Oct 28 '20 at 18:14