All powers were vested in the king. Inscriptions do not specifically speak of a council of ministers, but they do refer to an official called maha-sandhi-vigrahika.  

• Four other categories of ministers are also referred to in the epigraphs: Pradhana (head minister), Mahasandhi-vigrahika (minister of foreign affairs), Amatya (revenue minister), and Samaharta (minister of exchequer).  
• Chalukyas divided the state into political divisions for the sake of administration: Vishayam, Rastram, Nadu and Grama. 

Source: Tamil Nadu state board.