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We construct an extremal chiral $\mathcal N=4$ superconformal field theorywith central charge 24 from a $\mathbb Z_2$ orbifold of the chiral bosonictheory with target $\mathbb R^{24}/\Lambda$, where $\Lambda$ is the Niemeierlattice with root system $A_2^{12}$. This construction is analogous toconstructions of extremal chiral $\mathcal N=1$ and $\mathcal N=2$ CFTs with$c=24$, where $\Lambda = \Lambda_{Leech}$ and the Niemeier lattice with rootsystem $A_1^{24}$, respectively. The theory has a discrete symmetry grouprelated to the sporadic group $M_{11}$.

Extremal chiral $\mathcal N=4$ SCFT with $c=24$