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De Haas-van Alphen oscillations of the organic metal$\theta$-(ET)$_4$ZnBr$_4$(C$_6$H$_4$Cl$_2$) are studied in pulsed magneticfields up to 81 T. The long decay time of the pulse allows determining reliablefield-dependent amplitudes of Fourier components with frequencies up to severalkiloteslas. The Fourier spectrum is in agreement with the model of a linearchain of coupled orbits. In this model, all the observed frequencies are linearcombinations of the frequency linked to the basic orbit $\alpha$ and to themagnetic-breakdown orbit $\beta$.

High frequency magnetic oscillations of the organic metal $\theta$-(ET)$_4$ZnBr$_4$(C$_6$H$_4$Cl$_2$) in pulsed magnetic field of up to 81 T