Leaders of the groups at today's news conference also levelled accusations against a list of figures who they said were plotting chaos, including two businessmen prominent under ousted autocrat Hosni Mubarak, other ex-officials from his regime, a private television state, and unnamed Gulf states.
President Mohammed Mursi and his allies frequently accuse the opposition of sewing disorder, but rarely accuse specific individuals.
The group called for a June 21 rally at a mosque near the presidential palace. The opposition calls for protests on June 30, the one-year anniversary of Mursi's taking power, to demand his ouster.