G4S has government contracts to run asylum housing and immigration detention centres, among a range of other things. There have been repeated calls from refugee charities to hold them to account for widespread allegations of mismanagement and abuse, especially in detention centres like Yarl's Wood in Bedfordshire.
BID is seeking to challenge their right to hold such contracts in the future. You can find a full account of the action and the reasons behind it on the Right to remain website.