The scalar glueball is observed in a coupled-channel analysis of the S-wave amplitude from BESIII data on radiative J/ψ decays and further data. Ten scalar isoscalar resonances were required to fit the data. Five of them were interpreted as mainly-singlet, five as mainly-octet resonances in SU(3). The yield of resonances showed a striking peak with properties expected from a scalar glueball. The D wave amplitude in the BESIII data on radiative J/ψ decays reveales a high-mass structure which can be described by a single Breit-Wigner or by the sum of three ϕϕ resonances interpreted as tensor glueballs a long time ago. The structure - and further tensor resonances observed in radiative J/ψ decays - are tentatively interpreted as tensor glueball. In J/ψ decays into γπ0π0η′ several resonances are reported. The possibility is discussed that the pseudoscalar glueball might be hidden in these data.