Well, it's really easy. There three major appiance manufacturers - Whirlpool, Electrolux, and GE.
KitchenAid, Maytag, Frigidaire, Crosley, Admiral, Amana -- all gone, only brand NAMES left.
Whirlpool holds the highest market share of all three and Sears appears to be their primary saes channel.
Therefore, go for Kenmore - it's their store owned brand name. Make sure to check with the salesperson who the real manuafacturer is. If the dishwasher model number starts with 665 - it's whirlpool, 587 - Electrolux
Yes, there are Korean brands + Bosch too but you will pay through the nose to get them fixed and many repaimen are not famiiar with them.