This paper focuses on the superprism effect which can be obtained in low-contrast photonic crystals. The modelling is related to the newly developed method for all-dielectric photonic crystals. This places material constraints on the simulated crystals which limit the refractive index difference to 0.1 for all-glass photonic crystals and 0.6 for air-glass structures and forces us to focus on hexagonal lattices. The simulations show the existence of superprism effect in both types of structure for realistic glasses. In both cases various linear filling factors are studied in order to maximize the frequency range of the superprism effect. For the air-F2 glass structure it reaches 0.108 normalized frequencies and for the air-NC21 glass structure it reaches 0.99 normalized frequencies for TM polarization. For the double glass structures, the largest range is for the F2/NC21 photonic crystal and spans 0.012 normalized frequencies. In the F2/NC21 crystal the frequency range reaches 0.005 for TE polarization.