3 +^3

Blocks with defect group [math]3_+^{1+2}[/math]

CLASSIFICATION INCOMPLETE

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

Class	Representative	# lifts / [math]\mathcal{O}[/math]	[math]k(B)[/math]	[math]l(B)[/math]	Inertial quotients	[math]{\rm Pic}_\mathcal{O}(B)[/math]	[math]{\rm Pic}_k(B)[/math]	[math]{\rm mf_\mathcal{O}(B)}[/math]	[math]{\rm mf_k(B)}[/math]	Notes
M(27,3,1)	[math]k3_+^{1+2}[/math]	1	11	1	[math]1[/math]			1	1
M(27,3,2)	[math]k((C_3 \times C_3):C_6)[/math]		10	2	[math]C_2[/math]			1	1	SmallGroup(54,5)
M(27,3,3)	[math]k(3_+^{1+2}:C_2)[/math]		10	2	[math]C_2[/math]			1	1	SmallGroup(54,8)
M(27,3,?)	[math]B_0(kSL_3(3))[/math]		16	5				1	1
M(27,3,?)	[math]B_0(k(SL_3(3).2))[/math]		13	7				1	1
M(27,3,?)	[math]B_0(k(3.M_{22}))[/math]		16	5				1	1
M(27,3,?)	[math]B_0(k(3.M_{22}.2))[/math]		14	7				1	1
M(27,3,?)	[math]B_6(k(6.M_{22}))[/math]		16	5				1	1
M(27,3,?)	[math]B_6(k(6.M_{22}.2))[/math]		14	7				1	1
M(27,3,?)	[math]B_{10}(k(12.M_{22}))[/math]		16	5				1	1