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The U. S. Super Secret Agency (SSA) is disturbed by the kidnaping of a number of American show business people by Communist Albania. SSA Agent Corrigan tries to penetrate Albania but is blocked by Albanian Army Chief Rostinov. Number One holds a secret meeting to decide how SSA can solve the problem, and Wee Johnny Wilson of the Underage Underground suggests that they consult MOTHA (Mechanical Oracle That Helps Americans). The computer responds with a scheme to form a rock group, "The Phynx", to tour Albania. An athlete, a campus militant, a Negro model, and an American Indian form the group; and with the help of record producer Philbaby, The Phynx record an album that is pushed to fame by SSA force tactics. After a farewell orgy provided by the government, The Phynx are sent to London where a double agent (played by Martha Raye) reveals that maps giving directions to the secret castle in Albania where the prisoners are confined are tattooed on the bellies of her three daughters, living respectively in London, Copenhagen, and Rome. Finally arriving at the castle, the group is greeted by Marshal Markevitch and his American wife (played by Joan Blondell), for whose sake Markevitch has kidnaped her former colleagues. A loud rock guitar session welcomes The Phynx, the walls of the castle crumble in the resulting vibrations, and the American prisoners escape.