(d) Consider the following multiplication table for the C4 point group: Ov' 343536666 C E E...

 

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(d) Consider the following multiplication table for the C4 point group: Ov' 343536666 C₁³ E E C₁ C₂ C₂³ Ov 6₂ Od Od 3333 6666 C4 C4 C₂ C3³ E C₂ C₂ C³ E C4 Ov Gy o Gd C₂³ C3³ E C4 C₂ 6666 Ov ov Ov od -533 E C₂ C4 od Ov o C₂ E C4 C₁³ 64 ба Oy Od C E C₂ od Gd Gy C₂ E (i) Construct the multiplication table for each of the non-trivial sub-groups of the C₁ point group. (8 marks) (ii) Determine the classes of the Cav point group (6 marks) (d) Consider the following multiplication table for the C4 point group: Ov' 343536666 C₁³ E E C₁ C₂ C₂³ Ov 6₂ Od Od 3333 6666 C4 C4 C₂ C3³ E C₂ C₂ C³ E C4 Ov Gy o Gd C₂³ C3³ E C4 C₂ 6666 Ov ov Ov od -533 E C₂ C4 od Ov o C₂ E C4 C₁³ 64 ба Oy Od C E C₂ od Gd Gy C₂ E (i) Construct the multiplication table for each of the non-trivial sub-groups of the C₁ point group. (8 marks) (ii) Determine the classes of the Cav point group (6 marks)