The ionisation isomer is [Co(NH3)5SO4]Br. The IUPAC name is Pentaamminesulphatocobalt (III) bromide.
The isomer [Co(NH3)5Br]SO4 gives a white precipitate of BaSO4 with BaCl2 solution whereas the isomer [Co(NH3)5SO4]Br does does not form this precipitate. (or any other relevant test.