While you may be able to successfully sue the institution for failure to follow through on your agreement, I doubt you would be pleased with the outcome of any lawsuit you brought. The expense would likely negate any gain, and if you read your contract carefully, I imagine they've fulfilled the bare minimum of any obligation they had to you. "You got exactly what you paid for, and no more", as the saying goes.
These scam schools (there are hundreds of them), supported by the federal government and the lending institutions (who also profit mightily), are a bane on society. Some of them are facing (and losing) significant lawsuits and more regulation is sure to follow eventually, but for now you are free to waste your money on worthless "diplomas" and certificates and other such dubious credentials, while the bank (complicit in the scam, IMO) gets paid and the government enforces the transaction.
In other words: Congratulations! You owe the money, you have to repay it, and you got nothing of value for it.
Anyone reading this and considering one of those "universities" they saw advertised on late night TV: go to a state school for similar (or maybe less) money and get a real degree.