Is there any reference that discuss the F symbols for finite groups?. Maybe they are known by other name in this context. I'm looking for a discussion (and actually a table if it exist), of the matrices that relate two different tensor decompositions of representations. In the case of the representation of $SU(2)$ Lie algebra, these objects are also known as the 6j symbols.

Does it make sense to talk about such object for finite groups?

Is there any reference that discuss the $F$ symbols for finite groups?. Maybe they are known by other name in this context. I'm looking for a discussion (and actually a table if it exist), of the matrices that relate two different tensor decompositions of representations. In the case of the representation of $SU(2)$ Lie algebra, these objects are also known as the 6j symbols.

Does it make sense to talk about such object for finite groups?