In a statement titled "Platform of Change", the National Coordination for Change also pushed the government to resign, after more than three weeks of mass demonstrations against Bouteflika's 20-year rule.
"There is an urgent need to make radical changes of the system in place with new personnel," said the group, Reuters reported.
Algerian authorities have always been able to manipulate a weak opposition. But new influential opponents have emerged from growing protests that peaked on Friday, with hundreds of thousands of people on the streets of Algiers.
Prominent members of the new group include lawyer and human rights activist Mustapha Bouchachi, opposition leader Karim Tabou and former treasury minister Ali Benouari, as well as two well-known activists Mourad Dhina and Kamel Guemaz.