# C9xC3

## Blocks with defect group $C_9 \times C_3$
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(27,2,1) $k(C_9 \times C_3)$ 1 27 1 $1$ 1 1
M(27,2,2) $k((C_9 \times C_3):C_2)$ 15 2 $C_2$ 1 1 Simultaneously inverting elements of $C_9$ and $C_3$
M(27,2,3) $k(D_{18} \times C_3)$ 18 2 $C_2$ 1 1
M(27,2,4) $B_0(k(SL_2(8) \times C_3))$ 18 2 $C_2$ 1 1
M(27,2,5) $k(C_9 \times S_3)$ 27 2 $C_2$ 1 1
M(27,2,6) $k(D_{18} \times S_3)$ 18 4 $C_2 \times C_2$ 1 1
M(27,2,7) $B_0(k(SL_2(8) \times S_3))$ 18 4 $C_2 \times C_2$ 1 1