The people who support fascism are the ones who support military power and are also in favour of getting the country ruled by a dictator. The fascists put the nation first as their most important priority and then the individuals of the country.
This became very famous in the world war 1 in Europe because the people in the countries of Europe thought that it was very important to have strength and superiority over other nations.
It was famous during the time period of second world war also where some favouring fascism were Hitler and Mussolini but it started to end after this period.
Fascist politicians become popular in Europe after World War I because of the increasing loss of self esteem and devastation of the world war.
The people of European countries were reeling from the massive shock of disasters in the first world war and felt a need for a strong and charismatic leader who can draw them out of their troubles and then make their country a better place.
The distressed population fell for many authoritarian leaders due to this reason as it was seen that the leaders will be able to bring the country out of the horrors that the world war had brought on them.
Fear of communism, and the fact that there was high unemployment around that time.