Molecular Symmetry and Group Theory 
The full set of symmetry operations of a molecule constitutes a mathematical group. To form a group, the operations must satisfy four rules:
Use the multiplication table obtained in Workshop 1 (shown below) for C_{2}H_{4}O (C_{2v}) to demonstrate the validity of these rules. [For iii) use A = C_{2}, B = σ(xz), C = σ(yz).] 



Examples
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