# C8xC4

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## Blocks with defect group $C_8 \times C_4$
${\rm Aut}(C_8 \times C_4)$ is a $2$-group and so every block with this defect group is nilpotent.
Class Representative # lifts / $\mathcal{O}$ $k(B)$ $l(B)$ Inertial quotients ${\rm Pic}_\mathcal{O}(B)$ ${\rm Pic}_k(B)$ ${\rm mf_\mathcal{O}(B)}$ ${\rm mf_k(B)}$ Notes
M(32,3,1) $k(C_8 \times C_4)$ 1 32 1 $1$ $(C_8 \times C_4):((C_2)^4:D_8)$ 1 1