Cotton "sweatshirt" fabric for a fall jacket?

I am looking for a very thick, woven fabric much like sweatshirt fabric, but without stretch. I would like to sew a "couture" sweatshirt jacket, much like the subterfuge jacket from Anthropologie, but I just can't figure out what to call the fabric that I am looking for, and thus where to find it and purchase it. Can you help?

The fabric I am envisioning is thick and cotton, with a fine weave on the right side and a larger, more open weave on the wrong side. It is NOT fleecy and does not pill on the wrong side, as a sweatshirt might. It also is NOT designed to be stretchy, but might have some natural stretch due to the weave.

This type of fabric would be perfect for an unstructured jacket for the fall, as the fabric should be thick enough to be warm and have some body, but is not stiff like canvas or denim. What is this type of fabric called, does anybody know? How can I best search for it online, as I have not see anything similar in my local fabric store. Thank you so much!

I looked on the Anthropologie website to try to get a better idea of what you are talking about... I think that you could use a good knit or sweatshirt type material.  You could counteract the stretch a bit by lining it with a non-stretch material.  This is a tricky one...