sadism (n.)

"one who derives satisfaction from inflicting pain on or dominating others," 1892, from sadism + -ist.

"characteristic of a sadist," 1892, after German sadistisch; see sadism. Related: Sadistically. For "of or characteristic of de Sade or his writings or philosophy," Sadean has been used.

also sadomasochism, "coexistence of sadism and masochism in the same person," 1916, from combining form of sadism + masochism. The abbreviation S & M is attested by 1965. An earlier word for sexualities that focused on violence (not quite the same thing) was algolagnia.