# MNA(2,1)

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## Blocks with defect group $MNA(2,1)=\langle x,y|x^4=y^2=[x,y]^2=[x,[x,y]]=[y,[x,y]]=1 \rangle$
The defect groups are minimal nonabelian $2$-groups. The invariants $k(B)$, $l(B)$ and $k_i(B)$ for all $i$ are determined in [Sa11]. The Cartan matrices are also determined up to equivalence of quadratic forms. These results do not rely on the CFSG. The automorphism group of $MNA(2,1)$ is a $2$-group, but there exists at least one non-nilpotent fusion system for blocks with this defect group.