Originally Posted by

**jonathan122** Hi,

I'm trying to investigate the complex representations of AGL(2,3) and ASL(2,3), respectively the affine general linear group and the affine special linear group of order 2 over the field of 3 elements, but I'm slightly at a loss as to how to go about it - specifically, I am trying to work out the minimal degree of a faithful complex representation of AGL(2,3), and how many non-isomorphic representations there are of this degree, and then do the same thing for ASL(2,3).

Does anyone have any hints as to how to make a start on this? I've done a course on Representation Theory, but I've never really seen a question like this. Any help would be greatly appreciated.

Thanks,

Jonathan.