When you heard Troop G in Lafayette, it was because Troop I was dispatching for Troop G. If you listen to them talk, the troop G units were calling Troop I, and they were operating on I-Dispatch 2 - patched with Troop G-Dispatch 1. They do this sometimes when they are short dispatchers, this may have been the case.
What the above posts were saying about affiliations is true, but when you heard troop G, it was because of a patch.
I was listening too.
Hope this helps.