Hi Aweiler3,
If you have access to Directory you can create separate mailing lists for each group and send a survey distribution to each.
If you don't have access to directory you should still be able to create separate distributions assuming your survey isn't anonymous - you'll just need to keep track of which respondent was in which group by downloading each distribution's history and checking the IDs.
Hope that helps!

Thank you bgooldfed! Now that I've created the distribution lists, do you know how to view the segmented data by the distribution groups I had created?

https://community.qualtrics.com/XMcommunity/discussion/comment/50056#Comment_50056Hmm, you can download the distribution history but I don't believe that has a column indicating the mailing list/segment You may just have to cross-reference each contact with the segment they're in yourself in Excel (eg: using VLOOKUP to search for the contact ID against a master list of all your segments).