Regardless you cannot have a contact in Xhan Empire, and that sucks. I wanted to find the mod it is from and let the author know of it know of the issue but then I thought it might actually be from vanillas updates and so should inform you. If this from another mod and you can do anything about, then sorry for bothering you. At least you are aware of a mod conflict.
Do you mean like this or contacts specifically dubbed as "Xhan" regarding their nationality or do you mean The Cluster specifically?
(Contacts is a vanilla system btw)
I mean in each faction there is a member that you can make a contact (I suspect they can be found in capital stations only but I could be wrong about that), that will give you the stuff I mentioned (mission and the like). At the start of the game there a 4 out 5 contacts for you to make. Number 1 contact is always the contact you have for that faction, they can be found inside the capital station. This at the start gives you 1/5 contacts. Then you are offered contacts for Hegem, Tri-Tac, Indepent, factions.for you to build your relations up with that faction. It is a way to ensure you can get missions form a faction and raise your relationships with them, instead of hoping for a mission from that faction to pop-up.
You can establish contacts when interacting with members of a faction and delete contacts. For some reason this feature does not work with Xhan, I mean at the start, your given contact. It says they are at the capital start (in a Nex start) and sometimes you can see them in there (different start overs give different results as sometime it says they are there but you do not see them in the station - hence my suspecting of them being in the other station building). I can talk to them in the station if they are there but the only options is to cut-coms (or sometime I can help with your unrest option gray light because they have no unrest).
I did in this current game meet and make a new contact (rare that it happens) that let me build a relationship with them and I am hoping to use them to establish a new contact with the Xhan faction.
It isn't necessary to have this mod working (not like it will ruin my game experience and it only the starting that I do not have a working Xhan contact) as I am already good with the faction but it nice to get all the offers (like build and buy ships).