Euclid Math Type One character

Question

I want to use just a single character (the capital G) from the Euclid Math One font in a latex document. How can I do that without using Xe or LualaTeX? Here is the preamble:

\documentclass[sunil1]{sunil} %See documentation for other class options
\HeadingsChapterSection
\usepackage{fixltx2e,fix-cm}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{graphicx,wrapfig,lipsum}
\usepackage{subfigure}
\usepackage{makeidx}
\usepackage{multicol}
\usepackage{enumitem}
\usepackage{bm}
\usepackage{MnSymbol}
\setlength{\textfloatsep}{2pt plus 1pt minus 1pt}
\usepackage{gensymb}
\usepackage{comment}
\usepackage{placeins}
\setcounter{chapter}{+0}
\usepackage[export]{adjustbox}


\newcommand{\squeezeup}
 {\vspace{-1cm}}
\newcommand{\squeezedown}
 {\vspace{-3mm}}

On using @egreg solution mentioned below I get the error: Too many math alphabets used in version normal

Answer 1

The calligraphic G from the Euler fonts is easily available:

\documentclass{article}
\usepackage{amsmath}

\newcommand{\eulG}{\textnormal{\usefont{U}{eus}{m}{n}G}}

\begin{document}

$\eulG\ne\mathcal{G}$; let's try a subscript: $A_{\eulG}$.

\end{document}