Originally Posted by

**jpps1** So let me see if I follow.

I only need to choose H={1,-1,i,-i}? I don't need to choose any other subgroups of Q?

By <i>, you just mean the identity representation? I'm kind of confused what you mean here...might just be the notation.

Anyways, once that is sorted out, I form 2x2 matrices for each g? Are the elements g coming from H or from Q? Why are the distinct left cosets x_1=j and x_2=1?

Sorry, I know I'm really retarded...as soon as I'm asked to do something explicitly rather than link theorems together, I don't know what to do.