C4xC2xC2

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

These are blocks were classified over [math]\mathcal{O}[/math] in [EL18a] using the CFSG. Each [math]k[/math]-Morita equivalence class lifts to an unique [math]\mathcal{O}[/math]-Morita equivalence class.

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(16,10,1)	[math]k(C_4 \times C_2 \times C_2)[/math]	1	16	1	[math]1[/math]	[math](C_4 \times C_2 \times C_2):{\rm Aut}(C_4 \times C_2 \times C_2)[/math]		1	1
M(16,10,2)	[math]B_0(k(C_4 \times A_5))[/math]	1	16	3	[math]C_3[/math]	[math]D_8 \times C_2[/math]		1	1
M(16,10,3)	[math]k(C_4 \times A_4)[/math]	1	16	3	[math]C_3[/math]	[math]D_8 \times S_3[/math]		1	1