A recently developed modulation method is used to obtain cross sections for the photoionisation of ground state neutral to ground state ionic, atomic and molecular chlorine relative to that of the HCl + (X2n 1IZ,3IZ) +--HCl(X I ~ +) transition at the He Ia wavelength. With the known absolute cross section of the latter process, determined by (e,2e) coincidence spectroscopy, the present ell,periments provide absolute photoionisation cross sections of the CI + epz,l,o) +--Clep) and Cli (X Z n g, 1IZ,3 IZ) +--Cl z (X I ~ t) transitions. Relative cross sections, previously determined for the transitions to the additional Cl and Cl z ionic states accessible with He Ia radiation, are used to obtain absolute cross sections for the Cl+(IDz, ISO) +--Clep) and Cli(AZnu,1IZ,3IZ, BZ~t) +--Clz(XI~t) ionisation processes.