Civil Aviation Authority
The Civil Aviation Authority (CAA) is the airline regulator in the UK. It has a Passenger Advice and Complaints Team (PACT) which may be able to help you. However it only deals with complaints against airlines which are not members of ADR schemes. You can find out which airlines are members by clicking here.
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If your claim is against an airline that is not part of an ADR scheme then PACT will advise on whether they think you have a valid complaint, and if so they take it up with the business concerned, but they do not have the legal powers to impose a solution on an airline.