# 3 +^3

## Blocks with defect group $3_+^{1+2}$

CLASSIFICATION INCOMPLETE

The table below is still being populated. Please feel free to add blocks!

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(27,3,1) $k3_+^{1+2}$ 1 11 1 $1$ 1 1
M(27,3,2) $k((C_3 \times C_3):C_6)$ 10 2 $C_2$ 1 1 SmallGroup(54,5)
M(27,3,3) $k(3_+^{1+2}:C_2)$ 10 2 $C_2$ 1 1 SmallGroup(54,8)
M(27,3,?) $B_0(kSL_3(3))$ 16 5 1 1
M(27,3,?) $B_0(k(SL_3(3).2))$ 13 7 1 1
M(27,3,?) $B_0(k(3.M_{22}))$ 16 5 1 1
M(27,3,?) $B_0(k(3.M_{22}.2))$ 14 7 1 1
M(27,3,?) $B_6(k(6.M_{22}))$ 16 5 1 1
M(27,3,?) $B_6(k(6.M_{22}.2))$ 14 7 1 1
M(27,3,?) $B_{10}(k(12.M_{22}))$ 16 5 1 1