Question: The C 4v group has the following classes: E, 2C 4 , C 2 , 2 v , and 2 d . How many irreducible

The C_4v group has the following classes: E, 2C₄, C₂, 2σ_v, and 2σ_d. How many irreducible representations does this group have and what is the dimensionality of each? σ_d refers to a dihedral mirror plane. For example in the molecule BrF₅, the σ v mirror planes each contain two of the equatorial F atoms, whereas the dihedral mirror planes do not contain the equatorial F atoms.

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