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For what it is worth, Sigma Chi "assigns" a Greek letter to each colony / re-colonization which is added to the Greek letters SC. And because no Sigma Chi pledge may wear the Greek Letters, to "show letters on campus" (as it were), the colonies usually add the Greek letter designation to SC for shirts, websites etc. Some re-colorizations may decide to use a combination of their original chapter designation and/or campus name. As such, for their shirts etc., Sigma Chi would need to be spelled out.
As examples, here are a few current colonies/re-colonizations and their "current letters".
New Mexico State University - Psi Sigma Chi or YSC
Syracuse University - Sigma Chi Chi or SCC
University of West Florida - Sigma Chi Omega or SCW
Note that the additional Greek letter may not have anything to do with the chapter's letter designation. Once the colony receives it's charter, the chapter designation (now well into double letters) is assigned based on acceptance into the Fraternity. Re-colonized chapters receive the original chapter designation.
Also, any symbols etc. that any Sigma Chi pledge is allowed to wear, the colony members (as pledges to Sigma Chi) are encouraged to wear as well.
My guess is that something similar might apply to the NPCs that do not allow their new members (pledges) to wear Greek letters as well.
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