C4xC2xC2

Blocks with defect group $C_4 \times C_2 \times C_2$
These are blocks were classified over $\mathcal{O}$ in [EL18a] using the CFSG. Each $k$-Morita equivalence class lifts to an unique $\mathcal{O}$-Morita equivalence class.
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(16,10,1) $k(C_4 \times C_2 \times C_2)$ 1 16 1 $1$ $(C_4 \times C_2 \times C_2):{\rm Aut}(C_4 \times C_2 \times C_2)$ 1 1
M(16,10,2) $B_0(k(C_4 \times A_5))$ 1 16 3 $C_3$ $D_8 \times C_2$ 1 1
M(16,10,3) $k(C_4 \times A_4)$ 1 16 3 $C_3$ $D_8 \times S_3$ 1 1