The Monster group M, is the biggest sporadic simple group, with more than 8*10^{53} elements. It is the automorphism group of 196,884-dimensional Fisher-Norton-Griess algebra V_M. In his book, Ivanov axiomatized some of the properties of V_M, and called algebras satisfying to these conditions Majorana algebras. In this talk we will discuss the Majorana representations of 3-transposition groups. In fact, we will find groups from Fischer list, which admit standard Majorana representations.