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A high-peak-power (several hundreds of watts) pulsed CO2 laser, recently developed in our laboratory, has been used for exciting optically pumped far-infrared laser transitions of N2H4. A systematic search for N2H4 absorption coincidences with 10P and 10HP CO2 laser emissions has led to the observation of 27 new far-infrared laser lines, excited by 18 different absorption transitions. All of these new lines have been characterized in wavelength, offset, relative polarization, optimum operation pressure and intensity. Using the LaseRitz program, ten of these lines were assigned, corresponding to five laser systems. For other two laser systems possible J and K quantum numbers of the energy levels involved in the laser transitions were given.