Stater Bros. supermarkets may go private.

Chief Executive Jack H. Brown said the company’s two principal stockholder groups, which own 92.2% of the supermarket chain, want to buy the remaining stock and take the company private. If the deal is approved, he said, the two stockholder groups--La Cadena Investments and Craig Corp.--would each own 50% of the Colton-based company. A three-member committee of directors will meet to determine what a fair price would be for the remaining stock. “The purpose of taking the company private is that there’s only 7.8% (of the) shares out, there’s very little traded,” said Brown, also a managing partner of La Cadena. Brown said he expects the offer for the remaining stock, selling Wednesday at $20.25 a share, to exceed $20 a share.