The acquisition took place on Thursday 25th March 2010 and follows a week of speculation after Computer Warehouse revealed it was considering liquidation.
Jonathan Cole, chairman of Computer Warehouse, said: "I am delighted that Square has added the Computer Warehouse brand to its growing group of companies".
"They will be able to deliver the first class service our customers have come to expect from us over the years and with their retail and business experience will be able to address the needs of the new generation of Apple users."
Darren King, managing director of Square Group, which is based in London, Midlands and Home Counties, added: "Computer Warehouse has a long and established reputation in the Apple market, so we are very happy to associate our brand with them.
King said that Square Group, which has recently launched a new online store, intends to use Computer Warehouse's vast experience to push its online presence forward, under the Computer Warehouse brand.
"CW is a great business. With our investment, experience and focus, we're confident in maintaining and improving CW's market share. We're also very much looking forward to working with CW's business and education clients, and bring hem our experience, knowledge and values built over the last 16 years of Square's trading history," King said.
Square has stores in Central London, High Wycombe, Derby and Alfreton as well as a large online presence.
On Sunday, Academia - a supplier of software, hardware and training to the education, non-profit and commercial sectors - announced the acquisition of CWPro, the pro-audio and pro-video solutions specialists, formally part of Computer Warehouse.