C8xC4

Blocks with defect group [math]C_8 \times C_4[/math]

[math]{\rm Aut}(C_8 \times C_4)[/math] is a [math]2[/math]-group and so every block with this defect group is nilpotent.

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(32,3,1)	[math]k(C_8 \times C_4)[/math]	1	32	1	[math]1[/math]	[math](C_8 \times C_4):((C_2)^4:D_8)[/math]		1	1