If what you purchased cost more than £100 (ie, £100.01+), and you paid all, or even just the deposit, by credit card, then your credit card company is as equally liable (as the retailer) under Section 75 of the Consumer Credit Act.
That means whatever rights you had with the retailer/company, you have with the credit card company, so you can get your money back from the card firm.
This is a legal protection that credit card companies have no choice about – when you spend on a credit card, you're entering into an arrangement to borrow (even if you pay off in full), so you get these rights.
If you suffered losses as a result of the administration, eg, you had a half-finished kitchen and needed to pay extra to get it finished, you may also be able to claim this additional cost from the card company.
For full details, including free template letters to reclaim from the card company, read the Section 75 guide.
Importantly, however, note that the £100 is for a single item. For example, if you ordered ten £90 kitchen stools – a total order of £900  – it won't count, though chairs sold as a set for more than £100 would qualify. With the former, it would still be worth giving section 75 a go, but it's unlikely to help, so read on.