C4xC2

Blocks with defect group [math]C_4 \times C_2[/math]

[math]{\rm Aut}(C_4 \times C_2)[/math] is an abelian [math]2[/math]-group and so every block with this defect group is nilpotent.

There is a unique [math]\mathcal{O}[/math]-Morita equivalence class.

Class	Representative	[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(8,2,1)	[math]k(C_4 \times C_2)[/math]	8	1	[math]1[/math]	[math](C_4 \times C_2):(C_2 \times C_2 \times C_2)[/math]		1	1