Playboy contributed to the inaugural festivities last night by giving a lavish party in the Madison Hotel.

Wouldn't you think that Playboy had done enough for Jimmy Carter by nearly costing him the election?

Oh, that, said Caddell, when he was asked about the Playboy interview in which Carter said he had "looked on a lot of women with lust" and badly damaged himself at the polls.

There are, he said, no hard feelings. "I suppose there might have been if we'd lost."

Caddell's feelings are actually quite different. He not only attended last night's party, but is taking Christie Hefner, daughter and assistant to the Playboy creater, Hugh Hefner, to the Inauguration.

Others among the Playboy Foundation officers and Playboy magazine editors who give the party were either not attending the Inauguration or were giong on press credentials. Derick Daniels, the foundation president, wore a "Playboy for Carter" button but said he had not been invited to the Inauguration.

"For us, this is just a good opportunity to see our friends - the ACLU, media people - who are here this week," he said. "To me, the Playboy interview was the only interesting event in a damn dull campaign."

Executive editor Barry Golson, who said he thought that Carter himself was angry at the Magazine, said that nevertheless he felt that "Playboy should have a presence at the Jimmy Carter inaugural week."

In addition to Caddell, the Carter workers who attended the party included campaign advertising director Gerald Rafsoon, speechwriter Patrick Anderson and his wife, Ann Anderson, who is Carter's deputy press secretary, and Greg Schneiders, whose title will now be "director of presidential projects - and I don't know yet what that means."

Schneiders said he certainly had nothing against Playboy and felt that the mistake, or miscalculation, was entirely Carter's. "They didn't make him do the interview - they didn't make him say what he did."

A number of Playboy's writers and prospective writers were cruising the party. There was also a young woman who said she had been wearing the same dress fer three days, running around trying to get a Washington job, and that someone had told her she would make wonderful contacts at the Playboy party.