The aim of the project is the investigation and determination trivial source character tables of finite groups. In particular, one of the main goals is to contribute to the development of a database of trivial source character tables. The methods to achieve this goal will be both theoretical and computational. They will involve, among other things, the computation of the ordinary characters of trivial source modules using methods of the modular representation theory such as Green correspondence, tensor products, Brauer constructions. Computations will carried out using GAP. Our investigations will focus on finite groups with small p-local data and small finite groups of Lie type. The obtained tables will be made available in electronic form through a database.