Well, I missed out on the October 6th commemoration day, but End was down so I'll blame onto that.
But this one is kinda mandatory due to its nature as national holiday.

Let's talk about the Aftermath.
Heh, now I'm thinking I should write about the Western "help", kek. Nah, gonna stick to the aftermath.

Well, let's set the scene:
The Soviet Union's mechanized divisions kicked the eastern door on us (1956. November 4th), and brought Kádár with themselves on their tanks.
Kádár János served as the communist Minister of Interior for a short period in 1948-50 while the Workers' Party monopolized the state power. Then he was imprisoned by Rákosi. His fault was not being a Moscowite communist (or at least a Jew). After the the position of Rákosi and co. solidified they started to purge the Party too, not just everyone else. Rákosi and 4 more Moscowite Jews formed a clique at the top of the food chain, and wanted all the power concentrated in their hands. They were hardcore Stalinist. Everyone outside of them were deemed to be a danger to them and their plans. One of these dangers were the home brew communists, such as Kádár.
But after Stalin's death their position weakened, and the revolution at least managed to let Moscow know the Hungarian people don't want them anymore. So Moscow gave up on this, and reached for other tools they considered sufficient. Kádár might posed a threat in Rákosi's twisted mind, but he was a trustable enough communist, despite some youthful faults in his past. Or perhaps for the faults, I dunno. I'm sure historians wrote about why Kádár was picked for the task, but that would deviate far from our current topic.