The resonant structure of the radiative decay Lambda(0)(b) -> pK(-) gamma in the region of proton-kaon invariant-mass up to 2.5 GeV/c(2) is studied using proton-proton collision data recorded at centre-of-mass energies of 7, 8, and 13TeV collected with the LHCb detector, corresponding to a total integrated luminosity of 9 fb(-1). Results are given in terms of fit and interference fractions between the different components contributing to this final state. Only. resonances decaying to pK(-) are found to be relevant, where the largest contributions stem from the Lambda(1520), Lambda(1600), Lambda(1800), and Lambda(1890) states.