The Alliance for Freedom and Change has presented these demands to the military council, but says they have not yet entered negotiations.
The chief of the military council General Abdel Fattah al-Burhan has vowed to "uproot" Bashir's regime.
The council says the ousted president is in custody, but has not offered details of his whereabouts or that of other senior regime leaders.
Protests have been rocking Sudan for nearly four months, culminating in the toppling of president Omar al-Bashir last week after three decades of iron-fisted rule.
But thousands of demonstrators have maintained their sit-in outside the army headquarters in Khartoum since April 6.
At first they were pushing the army to back their calls to oust Bashir. Since his departure, they have called on the country's new ruling military council to meet the demands of their "revolution".
Below are their key demands, which the umbrella group Alliance for Freedom and Change says must to be met for the sit-in to end.
An immediate transfer of power to a transitional civilian government to govern for a four-year term, followed by elections.
The dissolution of Bashir's National Congress Party, with its top leaders brought to justice -- including the ousted president.
The confiscation of NCP properties.
The re-instatement of the country's 2005 constitution, which the military council suspended shortly after ousting Bashir.
The liberation of all civilians detained in relation to the protest movement, as well as army and police personnel in detention for refusing to shoot at protesters.
An end to the state of emergency Bashir imposed on February 22.