  This paper gives a method to find all imaginary multiquadratic fields of
class number dividing $2^{m},$ provided the list of all imaginary quadratic
fields of class number dividing $2^{m+1}$ is known. We give a bound on the
degree of such fields. As an application of this algorithm, we compute a
complete list of imaginary multiquadratic fields with class number dividing
$32.$

Number Theory