Character Table Hell!!!!!!!! Can someone please explain to me how the irreducible representations of a character table are assigned their letters? I figured out how A,B,E etc. are assigned to the irreducible representation-you look under the identity operation and if its 1 then its A or B, 2 then E, etc. If you look under the principal rotation axis operation then if its 1 then its an A, -1 its a B. The thing I don't understand is how the subscripts 1 and 2 are assigned. I know how subscripts u and g are assigned, by just looking down the ineversion operation column you can figure it out. But I have no idea where the 1 and 2 come from. Also, I don't understand what the right hand part of the characeter table means with the x,y,z, Rx,Ry,Rz's and how they relate to the orbitals of molecules. Also how do you assingn z,y,x, Rx,.....etc. to an irreducible representation. For example in the C2v character table why does z go with A1, Rx, go with A2, x,Ry with B1, etc. ? Can someone please help?