The map featured in a book, authored by BBC reporter Andrew Hosken, reveals that the group wants to capture Middle East, most of the Indian subcontinent and North Africa and parts of Europe within the next five years.
The book by Hosken is titled as Empire of Fear: Inside the Islamic State, The Mirror reported.
Andalus, for example, is the Arabic name given to the parts of Spain, Portugal and France that were occupied by the Moors from the 8th to the 15th century.
According to reports, ISIS have up to 50,000 members and cash and assets of nearly £2 billion, partly thanks to their control of oil and gas fields in Iraq and Syria.
They have shocked the world with their barbarity and are responsible for the slaughter of 38 holidaymakers in Tunisia in June.
The groups has already destabilised Iraq and Syria, they have tried to destabilise Saudi Arabia and Libya and recently they almost destroyed Tunisia's main industry, tourism.