I can't think of a word for the group, but the subject matter might well contain innuendo. Looking at the definition of innuendo by Ask.define.com: "An innuendo is a remark or question, typically disparaging, that works obliquely by allusion. The intention is often to insult or accuse someone in such a way that one's words, taken literally, are innocent. Innuendo can make use of, but is by no means restricted to, double entendre", we are given a whole lot of possible terms:
oblique references
allusions
double entendre
to which we could add the more colloquial "snide remarks",