Hi --- They should put this amount plus interest aside if it is being disputed particularly if the transaction has not been authorised by yourself, and they should place a stop on your card to protect you and themselves from any other charges being placed, also further issuing you a new card while their investigations are completed, to stop any repeat offence.
Insist that they do this as you are not liable, for any charges that have been illegally placed, neither will you be liable for any future unauthorised charges, speak to a manager about this.