Character table for D3d point group Solutiona The order of t

Solution

a) The order of this group is equal to the element showing the different possible states. the order of the complete group will be 5 since it is showing five values i.e. {-2.-1.0,1,2}

b) A2g operatred on any abelian group is given 1, implies that A2g * (any element) = 1, hence A2g will be the inverse element of this group

c) A1u is an inverse for first three subgroups since multiplying with them is yielding a +1 result