[[Sporadic simple group]]
# $\mathrm{M}_{24}$

The [[Mathieu group]] $\mathrm{M}_{24}$ is a [[sporadic simple group]] of order
$$
\begin{align*}
\abs{\mathrm{M}_{24}} = 2^{10} \cdot 3^3 \cdot 5 \cdot 7 \cdot 11 \cdot 23 = 244\,823\,040
\end{align*}
$$
and may be constructed as the [[Automorphism group of a linear code|automorphism group]] of the [[extended binary Golay code]]. #m/def/group 

## Properties

- See [[Multiply transitive permutation group]]

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