C8xC4
Revision as of 15:58, 28 January 2019 by Charles Eaton (talk | contribs) (Created page with "__NOTITLE__ == 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 g...")
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 |
