List of mathematical symbol shortcuts supported in Google Docs equations

The Google Docs equation editor allows entering certain mathematical symbols and operations via a $\LaTeX$ -style command syntax.

In addition to the symbols listed in the various dropdown menus in the equation toolbar, there are also several other undocumented commands recognized by Google Docs.

This page is an attempt at compiling a complete list of all commands that can be used in an equation.
As of August 2020, there's a total of 173 supported commands I know of.

Arrows

Symbol	Command	Symbol	Command
$\leftarrow$	`\leftarrow`	$\uparrow$	`\uparrow`
$\rightarrow$	`\rightarrow`	$\downarrow$	`\downarrow`
$\leftrightarrow$	`\leftrightarrow`	$\updownarrow$	`\updownarrow`
$\Leftarrow$	`\Leftarrow`	$\Uparrow$	`\Uparrow`
$\Rightarrow$	`\Rightarrow`	$\Downarrow$	`\Downarrow`
$\Leftrightarrow$	`\Leftrightarrow`	$\Updownarrow$	`\Updownarrow`

Greek letters

Symbol	Command	Symbol	Command
$\alpha$	`\alpha`	$\sigma$	`\sigma`
$\beta$	`\beta`	$\varsigma$	`\varsigma`
$\gamma$	`\gamma`	$\tau$	`\tau`
$\delta$	`\delta`	$\upsilon$	`\upsilon`
$\epsilon$	`\epsilon`	$\phi$	`\phi`
$\varepsilon$	`\varepsilon`	$\varphi$	`\varphi`
$\zeta$	`\zeta`	$\chi$	`\chi`
$\eta$	`\eta`	$\psi$	`\psi`
$\theta$	`\theta`	$\omega$	`\omega`
$\vartheta$	`\vartheta`	$\Gamma$	`\Gamma`
$\iota$	`\iota`	$\Delta$	`\Delta`
$\kappa$	`\kappa`	$\Theta$	`\Theta`
$\lambda$	`\lambda`	$\Lambda$	`\Lambda`
$\mu$	`\mu`	$\Xi$	`\Xi`
$\nu$	`\nu`	$\Pi$	`\Pi`
$\xi$	`\xi`	$\Sigma$	`\Sigma`
$\pi$	`\pi`	$\Upsilon$	`\Upsilon`
$\varpi$	`\varpi`	$\Phi$	`\Phi`
$\rho$	`\rho`	$\Psi$	`\Psi`
$\varrho$	`\varrho`	$\Omega$	`\Omega`

Relations

Symbol	Command	Symbol	Command
$\leq$	`\leq`	$\asymp$	`\asymp`
$\geq$	`\geq`	$\approx$	`\approx`
$\prec$	`\prec`	$\ne$	`\ne`
$\succ$	`\succ`	$\subset$	`\subset`
$\preceq$	`\preceq`	$\supset$	`\supset`
$\succeq$	`\succeq`	$\subseteq$	`\subseteq`
$\ll$	`\ll`	$\supseteq$	`\supseteq`
$\gg$	`\gg`	$\in$	`\in`
$\equiv$	`\equiv`	$\ni$	`\ni`
$\sim$	`\sim`	$\notin$	`\notin`
$\simeq$	`\simeq`

Miscellaneous operations

Symbol	Command	Symbol	Command
$\times$	`\times`	$\vee$	`\vee`
$\div$	`\div`	$\wedge$	`\wedge`
$\cdot$	`\cdot`	$\cap$	`\cap`
$\pm$	`\pm`	$\cup$	`\cup`
$\mp$	`\mp`	$\aleph$	`\aleph`
$\ast$	`\ast`	$\Re$	`\Re`
$\star$	`\star`	$\Im$	`\Im`
$\circ$	`\circ`	$\top$	`\top`
$\bullet$	`\bullet`	$\bot$	`\bot`
$\oplus$	`\oplus`	$\infty$	`\infty`
$\ominus$	`\ominus`	$\partial$	`\partial`
$\oslash$	`\oslash`	$\forall$	`\forall`
$\otimes$	`\otimes`	$\exists$	`\exists`
$\odot$	`\odot`	$\neg$	`\neg`
$\dagger$	`\dagger`	$\triangle$	`\triangle`
$\ddagger$	`\ddagger`	$\diamond$	`\diamond`

Punctuation

Symbol	Command	Symbol	Command
$()$	`\rbracelr`	$\dot{x}$	`\dot`
$\{\}$	`\sbracelr`	$\ddot{x}$	`\ddot`
$[]$	`\bracelr`	$\tilde{x}$	`\tilde`
$\dots$	`\dots`	$\underline{x}$	`\underline`
$\ldots$	`\ldots`	$\overline{x}$	`\overline`
$\cdots$	`\cdots`	$\bar{x}$	`\bar`
$\vdots$	`\vdots`	$\hat{x}$	`\hat`
$\vdash$	`\vdash`	$\widehat{x}$	`\widehat`
		$\vec{x}$	`\vec`

Elementary

Symbol	Command	Symbol	Command
$\frac{x}{y}$	`\frac`	$\\|\\|$	`\abs`
$\sqrt{x}$	`\sqrt`	$\sum_{a}^{b}$	`\sum`, `\sumab`
$\sqrt[n]{x}$	`\rootof`	$\prod_{a}^{b}$	`\prod`, `\prodab`
$x_{b}$	`\subscript`	$\coprod_{a}^{b}$	`\coprod`, `\coprodab`
$x^{a}$	`\superscript`	$\bigcap_{a}^{b}$	`\bigcap`, `\bigcapab`
$x_{b}^{a}$	`\subsuperscript`	$\bigcup_{a}^{b}$	`\bigcup`, `\bigcupab`

Analysis

Symbol	Command
$\int_{a}^{b}$	`\int`, `\intab`
$\oint_{a}^{b}$	`\oint`, `\ointab`
$\inf$	`\inf`
$\sup$	`\sup`
$\lim$	`lim`, `lima`
$\lim_{a \to b}$	`\limab`
$\liminf$	`\liminf`, `\liminfa`
$\liminf_{a \to b}$	`\liminfab`
$\limsup$	`limsup`, `\limsupa`
$\limsup_{a \to b}$	`\limsupab`

Linear algebra

Symbol	Command
$\ker$	`\ker`
$\det$	`\det`
$\dim$	`\dim`

Probability theory

Symbol	Command
$\Pr$	`\Pr`
$\binom{n}{k}$	`\choose`, `\binom`, `\binomab`

Trigonometry

Symbol	Command	Symbol	Command
$\sin$	`\sin`	$\sec$	`\sec`
$\sinh$	`\sinh`	$\csc$	`\csc`
$\arcsin$	`\arcsin`	$\cot$	`\cot`
$\cos$	`\cos`	$\coth$	`\coth`
$\cosh$	`\cosh`	$\arg$	`\arg`
$\arccos$	`\arccos`	$\deg$	`\deg`
$\tan$	`\tan`
$\tanh$	`\tanh`
$\arctan$	`\arctan`

Other

Symbol	Command
$\min$	`\min`, `\mina`
$\max$	`\max`, `\maxa`
$\exp$	`\exp`
$\ln$	`\ln`
$\lg$	`\lg`
$\log$	`\log`
$\gcd$	`\gcd`
$\hom$	`\hom`
$\hbar$	`\hbar`

Lukas Kollmer