Problem with a purchase shown on your statement: Credit card

I accidentally made a charge on my credit card and contacted the The vendor immediately and they waited two days to get back to me. I wanted to cancel it then when they finally did, I explained to them what happened and they said they would take care of the problem. The charge appeared on my credit card. I contacted my credit card company and they said they investigated it and turned me down and the charge came back on my card. Furthermore, I never received the product because the company evidently never sent it after I complained to them about being charged incorrectly. My credit card company is doing nothing to help me after waiting for 60 days. It is Barclays Bank.