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The TAIGA (Tunka Advanced Instrument for cosmic rays and Gamma-Astronomy) detector is aiming to study the gamma and cosmic rays at the high-energy end of galactic sources. Deployment of this multi-component, hybrid array started several years ago in Tunka Valley, ~50 km from the lake Baikal in Siberia. The Timing Cherenkov array TAIGA- HiSCORE, part of the TAIGA, currently consists of 28 wide-angle (0.6 sr) acceptance Cherenkov stations, distributed over an area of 0.25 km2 . During operation in 2015-2017 we inclined all stations towards south by 25 degrees for increasing the observation time of the Crab nebula. During the commissioning seasons the Crab Nebula was observed for about 130 hours (moonless nights, good weather ). The expected number of gammas that can be detected strongly depends on the energy threshold and on the model of extrapolation of the Crab energy spectrum towards higher energies. We present the preliminary results of comparing the experimental data with the MC simulations as well as estimate the energy threshold, the angular and core position resolutions. We show that the experimental data is in a good agreement with the simulations. Throughout the measurement period a small excess of events (compatible with the expected one) is observed from the direction of the source.