"Genus Gadus" is a scientific name for the codfish family. There are various synonyms used to refer to this group of fish. One of the commonly used synonyms is "Atlantic cod", which is a type of codfish primarily found in the North Atlantic. Another synonym is "Pacific cod", which is a type of codfish found in the Pacific Ocean. The scientific name "Gadus morhua" is also used as a synonym for Genus Gadus. In addition to these, there are many other common names such as cod, codling, scrod, whitefish, and codlet, which are often used interchangeably with Genus Gadus. No matter which name you use, these fish are highly valued for their nutritional value and are a popular food source around the world.