# C(2^m)xC(2^m)

## Blocks with defect group $C_{2^m} \times C_{2^m}$ for $m\gt 1$
These blocks were classified them over $\mathcal{O}$ in [EKKS14] using the CFSG. The Picard groups with respect to $\mathcal{O}$ follow from [BKL18].
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($C_{2^m} \times C_{2^m}$,1) $k(C_{2^m} \times C_{2^m})$ 1 $2^{2m}$ 1 $1$ $(C_{2^m} \times C_{2^m}):Aut(C_{2^m} \times C_{2^m})$ 1 1
M($C_{2^m} \times C_{2^m}$,2) $k(C_{2^m} \times C_{2^m}):C_3$ 1 $(2^{2m}+8)/3$ 3 $C_3$ 1 1