The temple, an activist group based in Salem, Mass., defines its mission, in part, to “reject tyrannical authority” and to “encourage benevolence and empathy among all people.” The statue, “Baphomet With Children,” was designed about five years ago. It was based on an 1856 drawing of the muscled goat-headed deity made by Éliphas Lévi, an occultist. The statue features two children staring up at Baphomet as if worshiping him.

It was meant as a protest to religious statues appearing on public property. In 2015, the temple tried to get it installed at the Oklahoma Capitol in response to a Ten Commandments monument. (The State Supreme Court eventually ordered the Ten Commandments removed.) This year the temple brought it to the Arkansas Capitol to protest a Ten Commandments display there.

A similar statue to “Baphomet With Children” appears in “Sabrina” representing the Dark Lord, who fights the teenage half-human, half-witch Sabrina. The Satanic Temple said the statue not only infringed on its copyright, but damaged its reputation by portraying the statue as evil.

In a statement, Warner Bros., which produces the show, acknowledged the settlement without elaborating. Netflix did not respond to a request for comment.

Mr. Greaves, in his blog post, thanked people who had supported the lawsuit, but he also complained about the “large number of people who flooded us with hate mail and armchair legal analysis.” One email implored him not to ruin a show that “just tries to bring joy into the world,” he wrote.