Refugees flee Hungary as Soviet tanks invade from Romania in 1956

On November 4th, Soviet tanks invaded Hungary, crushing the resistance and causing a massive refugee crisis. Thousands of Hungarians fled to Austria, with over 150,000 successfully crossing the border. However, many lost their lives in the attempt, highlighting the tragic end of the Hungarian revolt.

What desperate actions did Hungarian nationals take during the conflict?

What is known about the number of people who died attempting to cross the border?