This dataset contains the preprocessed real hypergraph data utilized in the experiments for "Generalized inference of mesoscale structures in higher-order networks", Ruggeri N., Contisciani M., Battiston F., De Bacco C. and synthetic hypergraph data generated for experiments in the above, as well as in "A Principled, Flexible and Efficient Framework for Hypergraph Benchmarking", Ruggeri N., Battiston F., De Bacco C.