You may be confusing Bain & Company (the consulting firm, a competitor to McKinsey) and Bain Capital. Bain Capital was started by some former Bain consultants,

You may be confusing Bain & Company (the consulting firm, a competitor to McKinsey) and Bain Capital. Bain Capital was started by some former Bain consultants, and is obviously similarly named, but is a totally independent organization.