Navalny's probe into a Black Sea palace Russian tycoons allegedly built for Putin has racked up more than 116 million views on YouTube since its release in January. Putin denies the palace is his.
The supporters had gathered outside the colony to demand access to Navalny, who is on hunger strike and demanding medical treatment for back pain and numbness in his legs and hands.
The Tagansky District Court in Moscow said in a series of statements that it had issued three separate fines against Google of 3.2 million roubles, 3.3 million roubles and 2.4 million roubles.
It said the fines related to offences committed on Jan. 22-24 this year, including "violating the procedure for removing information", all under Russia's Administrative Offences Code.