This invention provides an immunoconjugate which comprises 1) a non-peptidyl toxin and 2) a CD4-gamma2 chimeric heavy chain homodimer linked thereto. This invention also provides an immunoconjugate which comprises 1) a gamma radiation-emitting radionuclide of low to moderate cytotoxicity and 2) a CD4-gamma2 chimeric heavy chain homodimer linked thereto. This invention further provides an immunoconjugate which comprises 1) a non-peptidyl toxin and 2) a heterotetramer comprising two heavy chains and two light chains, both heavy chains being either a) IgG2 heavy chains or b) chimeric CD4-IgG2 heavy chains, and both light chains being either a) kappa light chains or b) chimeric CD4-kappa light chains. This invention further provides an immunoconjugate which comprises 1) a gamma radiation-emitting radionuclide of low to moderate cytotoxicity and 2) a heterotetramer comprising two heavy chains and two light chains, both heavy chains being either a) IgG2 heavy chains or b) chimeric CD4-IgG2 heavy chains, and both light chains being either a) kappa light chains or b) chimeric CD4-kappa light chains. Finally, this invention provides methods of using the immunoconjugates of the subject invention.