The LaTeX command for mathcal G (๐ข) is \mathcal{G}.
\mathcal{G}Writing a paper? The table generator and the BibTeX cleaner are one click away, no account.
Write \mathcal{G} inside math mode, that is between $โฆ$ for inline math or in a \[ โฆ \] or equation block for display math. It is part of core LaTeX math, so no extra package is required.
\mathcal{G} is a math-mode symbol: in running text, wrap it in $...$. With unicode-math under XeLaTeX or LuaLaTeX, typing ๐ข in a formula gives the same symbol.
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\mathcal{L}\mathcal{H}\mathcal{F}\mathcal{A}\mathcal{B}\mathcal{C}\mathcal{D}\mathcal{M}\mathcal{N}\mathcal{P}\mathcal{R}\mathcal{S}\mathcal{T}\mathcal{X}More math symbols in LaTeX: the full table or search all 350+ LaTeX symbols.
Use \mathcal{G} in math mode; it needs no extra package. For example, $\mathcal{G}$.
None: \mathcal{G} is built into LaTeX, so no extra package is required.