Efficient trapping of light in nanostructures is essential for the development of optical devices based on the interaction between light and matter. In this work, we show theoretically and experimentally that one-dimensional arrays of subwavelength dielectric Mie-resonant particles can support collective resonances with increased Q-factors. We demonstrate that the increase of the Q-factor can be explained by interaction between the collective electric and magnetic dipole modes of the chain resulting in the appearance of the inflection point at the band edge. The considered effect is studied experimentally in the chain of high-index ceramic cylinders in the microwave spectral range.