linksoflondonscharmsale.com I ordered something on line and now realise they are obviously are not reputable, and have no address/contact details. When I queried this with on line (24hr) chat they were not helpful, Internet

I ordered an item on an internet site, assuming it was the official site, only when the order was placed and they had my credit card details did i have concerns.  The company did not email me any confirmation of order, the order still remained in my shipping cart.  When looking for a contact no, there was none, there was however an online 24hr chat line.  I did start a chat with someone called Lucy and raised my concerns, she was not at all reassuring and when I asked for the address and no. of the company she suddenly closed the chat.  I still have the page open on my laptop, and will not close it as when I opened a new page and googled the address ' www.linksoflondonscharmsale.com' it now no longer exists.  The site when I first looked before purchasing was originally no. 1 on the google search.  I did assume this was the official links of london site, as I have been on before and it looks exactly the same.  Obviously after closer inspection, sadly after the event, there is clearly a difference as they offer no contact details. Where do I go from here??  I assume I will contact my bank whom issued the card?