A games league consists of 3 divisions, each of 12 teams: Division 1 (top), Division 2 (middle) and Division 3 (bottom). During a season, teams in Division 2 play each other twice. At the end of the season the top 2 teams are automatically promoted to Division 1. The next 4 teams play a knock-out competition. Third place plays sixth twice and fourth plays fifth twice. The winners of these pairs play each other once to find the third team to be promoted. The bottom 2 teams, eleventh and twelfth, play each other twice to decide which team is relegated to Division 3. What is the total number of games played in a season by Division 2 teams?