Thought it might be helpful to compare the USSR to Wikipedia's definitions of fascism and communism. These definitions can be wrong or could be different than what they were at the height of the USSR, but perhaps it'll help with finding common definitions. I'll admit that my knowledge of USSR culture/governance is limited, so feel free to critique/refute any of my interpretations.
Fascism is a far-right, authoritarian, ultranationalist political ideology and movement,characterized by a dictatorial leader, centralized autocracy, militarism, forcible suppression of opposition, belief in a natural social hierarchy, subordination of individual interests for the perceived good of the nation and race, and strong regimentation of society and the economy.
It hits 4/7 pretty firmly and the remaining 3 are plausible.
is a left-wing to far-left sociopolitical, philosophical, and economic ideology... whose goal is the creation of a communist society, a socioeconomic order centered around common ownership of the means of production, distribution, and exchange that allocates products to everyone in the society based on need. A communist society would entail the absence of private property and social classes, and ultimately money and the state.
Hits 2/8 at best, but I would be surprised to learn there wasn't money in the USSR.