These are the sampled used in the paper "Normalizing Flows for High-Dimensional Detector Simulations" for the evaluation of the CaloINN and the CaloVAE+INN models. Each zip file contains the generated showers stored in the CaloChallenge format together with figures of high-level observables. We include the layer energy deposition, the center of energy, the width of the center of energy, the layer sparsity, the ratio E_tot/E_inc, and the full voxel energy distribution. For these features we provide: energy inclusive histograms for all the datasets; for dataset 1, three incident energies: 256 MeV, 8.192GeV, 262.144 GeV; for dataset 2 and 3, three incident energy windows, (1-10), (10-100), (100-1000) GeV; separation power between Geant4 and our samples calculatd from the histograms.