From Sony's site, it looks like your notebook has some type of Conexant modem. Linuxant seems to be what you need. Take a look in OpenSUSE's repository to see if the software is there before getting it from that website (Ionno how to do this; I use Fedora). This tutorial looks helpful too.

You will probably need to download the Linuxant driver on another computer with working Internet, copy it to a USB drive/CD/any other portable storage device, and copy it from that to the notebook.