+1 for Tommy's suggestion that it could be a TalkTalk Business Wholesale broadband connection. Just the person advising the OP doesn't have a clue what an operating system is. (That's assuming the word "operating" was actually used, not "we operate on a different system").
I've never heard of Co op broadband. The nearest a quick Google shows is the Phone Co-op, which doesn't seem to me to be anything to do with "The Co-op".
"The Phone Co-op", "The Co-operative Phone and Broadband", "Us" or "We" means The Phone Co-op Limited (Industrial and Provident Society Registered Number IP28965R).
Ah, looking a bit further
In September 2012 we adopted The Co-operative brand. We remain a fully independent co-operative, using the brand under licence. We believe that by participating in The Co-operative brand, which benefits from a high level of recognition, trust and public respect, we will be in a position to reach far more customers, allowing us to increase our impact in an increasingly competitive industry.
Kindness isn't going to cure the world of all its awfulness but it's a good place to begin. Daisy Ridley.
My broadband basic info/help site - www.robertos.me.uk.
Domains, site and mail hosting - Tsohost
Connection - AAISP Home::1 80/20. Sync 59546/15321kbps @ 600m. - BQM