How large did mercenary companies get in RL?

Real world medieval mercenary companies could get quite large:

• the Grand Catalan Company had around 1,500 knights and 4,000 infantry, and then recruited an additional 3,000 Turkish cavalrymen.
• John Hawkwood’s White Company had 3,500 cavalry and 2,500 infantry at its peak.
• The Great Company of Werner von Urslingen, peaked at 10-12,000 men, mostly mounted men-at-arms.