# D8xC2

## Blocks with defect group $D_8 \times C_2$

The invariants $k(B)$, $k_i(B)$ and $l(B)$ are determined in [Sa12]. There is as yet no classification of blocks with these defect groups, and Donovan's conjecture is not known in any form.

CLASSIFICATION INCOMPLETE
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(16,11,1) $k(D_8 \times C_2)$  ? 10 1 $1$ 1
M(16,11,2) $B_0(k(PGL_2(5) \times C_2))$  ? 10 2 $1$ 1
M(16,11,3) $k(S_4 \times C_2)$  ? 10 2 $1$ 1
M(16,11,4) $B_0(k(PSL_2(9) \times C_2))$  ? 10 3 $1$ 1
M(16,11,5) $B_0(k(A_7 \times C_2))$  ? 10 3 $1$ 1
M(16,11,6) $B_0(k(PSL_2(7) \times C_2))$  ? 10 3 $1$ 1