Canadian Helicopters Limited is a different beast altogether. It was, practically speaking, the domestic division of Canadian Helicopters. CHC Helicopter Corporation grew from the international division of Canadian Helicopters many years ago and then Craig Dobbin sold off the domestic division.
CHC Canada is a new company formed to take over the contract in Halifax from CHC Helicopter Corporation. Due to the lack of Canadian ownership CHC Helicopter Corporation was forced to sell the base. They sold the base to Sylvan Allard and others and started a company called CHC Canada.
I'd very surprised if that makes any sense to anyone not involved in the Canadian helicopter industry!