Where do software support and customer services belong?

I manage a group of software support specialists who support software developed in house. Additionally we have a group of customer service agents that take calls from clients about all products we offer – not just software. The customer service staff do not handle any technical calls – mostly sales calls. Where in the organization would you expect to find this group managed? I think some companies have this type of group under the CFO.

We are looking at some reorganization and trying to find the best place. Maybe the 2 groups should be separated and put on different branches of the organizational tree.

Has anyone had to deal with an issue like this? If so, how did you handle it?