The CLC is the Collegiate Licensing Company. In a nutshell, they are the middleman between every university and the vendors that produce that university's merchandise. The vendor has to go through the proper channels to be able to produce officially licensed merchandise on behalf of that university and must abide by the rules that the CLC lays out.
Here are the primary marks that don't need any other reference, as it relates to athletic merchandise:
[*]Circle Louisiana Ragin' Cajuns
[*]Circle Ragin' Cajuns
[*]Stacked Louisiana Ragin' Cajuns
[*]Stacked Ragin' Cajuns
[*]Curved Louisiana Ragin' Cajuns with pepper in the middle
[*]UL Lafayette
The Cajuns Fleur-de-lis and the Pepper may not be used as a primary mark unless there is another reference to the university somewhere. For instance, I own an Under Armour pullover with the Fleur-de-lis on the main left chest, and the Ragin' Cajuns logo on the left arm, near the wrist - there is your secondary mention.
With that said, I'm not familiar with the University's relationship with the CLC directly. They may be able to produce special merchandise for the coaches or team that isn't available for purchase to the public. For example, I don't see that the LOUISIANA reference by itself (without Ragin Cajuns tied to it) is available for vendors to use. That may be part of a special relationship that the University has.