# C4xC2

## Blocks with defect group $C_4 \times C_2$
${\rm Aut}(C_4 \times C_2)$ 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(8,2,1) $k(C_4 \times C_2)$ 1 8 1 $1$ $(C_4 \times C_2):(C_2 \times C_2 \times C_2)$ 1 1