It is certainly a right-wing dictatorship, but it is not fascist. Fascism is a very specific ideology that really only fits a handful of historic countries.
And how exactly is Putin's Russia not fitting it these days?
Going by Paxton's definition, fascism is:
"A form of political behavior marked by obsessive preoccupation with community decline, humiliation or victimhood and by compensatory cults of unity, energy and purity, in which a mass-based party of committed nationalist militants, working in uneasy but effective collaboration with traditional elites, abandons democratic liberties and pursues with redemptive violence and without ethical or legal restraints goals of internal cleansing and external expansion"
While Putin certainly has the decline and victimhood part down, I don't see as much evidence for the Mass Movement and internal national cleansing parts of his regime.