We have conducted a search using the Very Large Array for radio emissi
on from members of Schlegel's (1990) proposed supernova subclass, Type
IIn, which show optical characteristics indicative of shock interacti
on with dense circumstellar matter. None has been detected to upper li
mits of less than or similar to 0.2 mJy. We compare the corresponding
radio luminosity upper limits for these supernovae to the radio lumino
sities for known Type II radio supernovae. Although broadly similar op
tically to the unusual Type IIn SNs 1988Z and 1986J, none of the obser
ved supernovae could be nearly as radio luminous. We find that the rad
io behavior of most Type IIn supernovae may not be significantly diffe
rent from that of other more normal Type II supernovae. It therefore a
ppears that optical spectra alone are not sufficient to predict radio
luminosity and that intrinsically radio luminous supernovae, such as S
Ns 1988Z and 1986J, are quite rare. (C) 1996 American Astronomical Soc
iety.