Quaternary direct products for Point Group Oh

Point Group O_h

Quaternary direct products

**A_1g⊙A_1g⊙**
⊙	A_1g	A_2g	E_g	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
A_1g	A_1g
A_2g	A_2g	A_1g
E_g	E_g	E_g	A_1g⊕A_2g⊕E_g
T_1g	T_1g	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
T_2g	T_2g	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
A_1u	A_1u	A_2u	E_u	T_1u	T_2u	A_1g
A_2u	A_2u	A_1u	E_u	T_2u	T_1u	A_2g	A_1g
E_u	E_u	E_u	A_1u⊕A_2u⊕E_u	T_1u⊕T_2u	T_1u⊕T_2u	E_g	E_g	A_1g⊕A_2g⊕E_g
T_1u	T_1u	T_2u	T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	T_1g	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
T_2u	T_2u	T_1u	T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	T_2g	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g

**A_1g⊙A_2g⊙**
⊙	A_2g	E_g	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
A_2g	A_2g
E_g	E_g	A_1g⊕A_2g⊕E_g
T_1g	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g
T_2g	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g
A_1u	A_1u	E_u	T_2u	T_1u	A_2g
A_2u	A_2u	E_u	T_1u	T_2u	A_1g	A_2g
E_u	E_u	A_1u⊕A_2u⊕E_u	T_1u⊕T_2u	T_1u⊕T_2u	E_g	E_g	A_1g⊕A_2g⊕E_g
T_1u	T_1u	T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	T_2g	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g
T_2u	T_2u	T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	T_1g	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g

**A_1g⊙E_g⊙**
⊙	E_g	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
E_g	A_1g⊕A_2g⊕3E_g
T_1g	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g
T_2g	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g
A_1u	A_1u⊕A_2u⊕E_u	T_1u⊕T_2u	T_1u⊕T_2u	E_g
A_2u	A_1u⊕A_2u⊕E_u	T_1u⊕T_2u	T_1u⊕T_2u	E_g	E_g
E_u	A_1u⊕A_2u⊕3E_u	2T_1u⊕2T_2u	2T_1u⊕2T_2u	A_1g⊕A_2g⊕E_g	A_1g⊕A_2g⊕E_g	A_1g⊕A_2g⊕3E_g
T_1u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g
T_2u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g

**A_1g⊙T_1g⊙**
⊙	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_1g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g
T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g
A_1u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	T_1g
A_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	T_2g	T_1g
E_u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g	2T_1g⊕2T_2g
T_1u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1g⊕E_g⊕T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g
T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g

**A_1g⊙T_2g⊙**
⊙	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g
A_1u	A_1u⊕E_u⊕T_1u⊕T_2u	T_2g
A_2u	A_2u⊕E_u⊕T_1u⊕T_2u	T_1g	T_2g
E_u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g	2T_1g⊕2T_2g
T_1u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g
T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1g⊕E_g⊕T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g

**A_1g⊙A_1u⊙**
⊙	A_1u	A_2u	E_u	T_1u	T_2u
A_1u	A_1u
A_2u	A_2u	A_1u
E_u	E_u	E_u	A_1u⊕A_2u⊕E_u
T_1u	T_1u	T_2u	T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u
T_2u	T_2u	T_1u	T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u

**A_1g⊙A_2u⊙**
⊙	A_2u	E_u	T_1u	T_2u
A_2u	A_2u
E_u	E_u	A_1u⊕A_2u⊕E_u
T_1u	T_1u	T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u
T_2u	T_2u	T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u

**A_1g⊙E_u⊙**
⊙	E_u	T_1u	T_2u
E_u	A_1u⊕A_2u⊕3E_u
T_1u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u
T_2u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u

**A_1g⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u
T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u

**A_1g⊙T_2u⊙**
⊙	T_2u
T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u

**A_2g⊙A_2g⊙**
⊙	A_2g	E_g	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
A_2g	A_1g
E_g	E_g	A_1g⊕A_2g⊕E_g
T_1g	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
T_2g	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
A_1u	A_2u	E_u	T_1u	T_2u	A_1g
A_2u	A_1u	E_u	T_2u	T_1u	A_2g	A_1g
E_u	E_u	A_1u⊕A_2u⊕E_u	T_1u⊕T_2u	T_1u⊕T_2u	E_g	E_g	A_1g⊕A_2g⊕E_g
T_1u	T_2u	T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	T_1g	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
T_2u	T_1u	T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	T_2g	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g

**A_2g⊙E_g⊙**
⊙	E_g	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
E_g	A_1g⊕A_2g⊕3E_g
T_1g	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g
T_2g	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g
A_1u	A_1u⊕A_2u⊕E_u	T_1u⊕T_2u	T_1u⊕T_2u	E_g
A_2u	A_1u⊕A_2u⊕E_u	T_1u⊕T_2u	T_1u⊕T_2u	E_g	E_g
E_u	A_1u⊕A_2u⊕3E_u	2T_1u⊕2T_2u	2T_1u⊕2T_2u	A_1g⊕A_2g⊕E_g	A_1g⊕A_2g⊕E_g	A_1g⊕A_2g⊕3E_g
T_1u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g
T_2u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g

**A_2g⊙T_1g⊙**
⊙	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_1g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g
T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g
A_1u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	T_2g
A_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	T_1g	T_2g
E_u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g	2T_1g⊕2T_2g
T_1u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g
T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1g⊕E_g⊕T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g

**A_2g⊙T_2g⊙**
⊙	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g
A_1u	A_2u⊕E_u⊕T_1u⊕T_2u	T_1g
A_2u	A_1u⊕E_u⊕T_1u⊕T_2u	T_2g	T_1g
E_u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g	2T_1g⊕2T_2g
T_1u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1g⊕E_g⊕T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g
T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g

**A_2g⊙A_1u⊙**
⊙	A_1u	A_2u	E_u	T_1u	T_2u
A_1u	A_2u
A_2u	A_1u	A_2u
E_u	E_u	E_u	A_1u⊕A_2u⊕E_u
T_1u	T_2u	T_1u	T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u
T_2u	T_1u	T_2u	T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u

**A_2g⊙A_2u⊙**
⊙	A_2u	E_u	T_1u	T_2u
A_2u	A_1u
E_u	E_u	A_1u⊕A_2u⊕E_u
T_1u	T_2u	T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u
T_2u	T_1u	T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u

**A_2g⊙E_u⊙**
⊙	E_u	T_1u	T_2u
E_u	A_1u⊕A_2u⊕3E_u
T_1u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u
T_2u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u

**A_2g⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u
T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u

**A_2g⊙T_2u⊙**
⊙	T_2u
T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u

**E_g⊙E_g⊙**
⊙	E_g	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
E_g	3A_1g⊕3A_2g⊕5E_g
T_1g	4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g
T_2g	4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g
A_1u	A_1u⊕A_2u⊕3E_u	2T_1u⊕2T_2u	2T_1u⊕2T_2u	A_1g⊕A_2g⊕E_g
A_2u	A_1u⊕A_2u⊕3E_u	2T_1u⊕2T_2u	2T_1u⊕2T_2u	A_1g⊕A_2g⊕E_g	A_1g⊕A_2g⊕E_g
E_u	3A_1u⊕3A_2u⊕5E_u	4T_1u⊕4T_2u	4T_1u⊕4T_2u	A_1g⊕A_2g⊕3E_g	A_1g⊕A_2g⊕3E_g	3A_1g⊕3A_2g⊕5E_g
T_1u	4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2T_1g⊕2T_2g	2T_1g⊕2T_2g	4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g
T_2u	4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2T_1g⊕2T_2g	2T_1g⊕2T_2g	4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g

**E_g⊙T_1g⊙**
⊙	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_1g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g
T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g
A_1u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g
A_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g
E_u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2T_1g⊕2T_2g	2T_1g⊕2T_2g	4T_1g⊕4T_2g
T_1u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g
T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g

**E_g⊙T_2g⊙**
⊙	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g
A_1u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g
A_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	T_1g⊕T_2g	T_1g⊕T_2g
E_u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2T_1g⊕2T_2g	2T_1g⊕2T_2g	4T_1g⊕4T_2g
T_1u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g
T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g

**E_g⊙A_1u⊙**
⊙	A_1u	A_2u	E_u	T_1u	T_2u
A_1u	E_u
A_2u	E_u	E_u
E_u	A_1u⊕A_2u⊕E_u	A_1u⊕A_2u⊕E_u	A_1u⊕A_2u⊕3E_u
T_1u	T_1u⊕T_2u	T_1u⊕T_2u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u
T_2u	T_1u⊕T_2u	T_1u⊕T_2u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u

**E_g⊙A_2u⊙**
⊙	A_2u	E_u	T_1u	T_2u
A_2u	E_u
E_u	A_1u⊕A_2u⊕E_u	A_1u⊕A_2u⊕3E_u
T_1u	T_1u⊕T_2u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u
T_2u	T_1u⊕T_2u	2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u

**E_g⊙E_u⊙**
⊙	E_u	T_1u	T_2u
E_u	3A_1u⊕3A_2u⊕5E_u
T_1u	4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u
T_2u	4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u

**E_g⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u
T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u

**E_g⊙T_2u⊙**
⊙	T_2u
T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u

**T_1g⊙T_1g⊙**
⊙	T_1g	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_1g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g
T_2g	3A_1g⊕4A_2g⊕7E_g⊕10T_1g⊕10T_2g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g
A_1u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1g⊕E_g⊕T_1g⊕T_2g
A_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
E_u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g
T_1u	4A_1u⊕3A_2u⊕7E_u⊕10T_1u⊕10T_2u	3A_1u⊕4A_2u⊕7E_u⊕10T_1u⊕10T_2u	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g
T_2u	3A_1u⊕4A_2u⊕7E_u⊕10T_1u⊕10T_2u	4A_1u⊕3A_2u⊕7E_u⊕10T_1u⊕10T_2u	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	3A_1g⊕4A_2g⊕7E_g⊕10T_1g⊕10T_2g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g

**T_1g⊙T_2g⊙**
⊙	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_2g	3A_1g⊕4A_2g⊕7E_g⊕10T_1g⊕10T_2g
A_1u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_2g⊕E_g⊕T_1g⊕T_2g
A_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1g⊕E_g⊕T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g
E_u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g
T_1u	4A_1u⊕3A_2u⊕7E_u⊕10T_1u⊕10T_2u	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	3A_1g⊕4A_2g⊕7E_g⊕10T_1g⊕10T_2g
T_2u	3A_1u⊕4A_2u⊕7E_u⊕10T_1u⊕10T_2u	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g	3A_1g⊕4A_2g⊕7E_g⊕10T_1g⊕10T_2g

**T_1g⊙A_1u⊙**
⊙	A_1u	A_2u	E_u	T_1u	T_2u
A_1u	T_1u
A_2u	T_2u	T_1u
E_u	T_1u⊕T_2u	T_1u⊕T_2u	2T_1u⊕2T_2u
T_1u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u
T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u

**T_1g⊙A_2u⊙**
⊙	A_2u	E_u	T_1u	T_2u
A_2u	T_2u
E_u	T_1u⊕T_2u	2T_1u⊕2T_2u
T_1u	A_1u⊕E_u⊕T_1u⊕T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u
T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u

**T_1g⊙E_u⊙**
⊙	E_u	T_1u	T_2u
E_u	4T_1u⊕4T_2u
T_1u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u
T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u

**T_1g⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	4A_1u⊕3A_2u⊕7E_u⊕10T_1u⊕10T_2u
T_2u	3A_1u⊕4A_2u⊕7E_u⊕10T_1u⊕10T_2u	4A_1u⊕3A_2u⊕7E_u⊕10T_1u⊕10T_2u

**T_1g⊙T_2u⊙**
⊙	T_2u
T_2u	3A_1u⊕4A_2u⊕7E_u⊕10T_1u⊕10T_2u

**T_2g⊙T_2g⊙**
⊙	T_2g	A_1u	A_2u	E_u	T_1u	T_2u
T_2g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g
A_1u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1g⊕E_g⊕T_1g⊕T_2g
A_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
E_u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g
T_1u	3A_1u⊕4A_2u⊕7E_u⊕10T_1u⊕10T_2u	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g
T_2u	4A_1u⊕3A_2u⊕7E_u⊕10T_1u⊕10T_2u	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	3A_1g⊕4A_2g⊕7E_g⊕10T_1g⊕10T_2g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g

**T_2g⊙A_1u⊙**
⊙	A_1u	A_2u	E_u	T_1u	T_2u
A_1u	T_2u
A_2u	T_1u	T_2u
E_u	T_1u⊕T_2u	T_1u⊕T_2u	2T_1u⊕2T_2u
T_1u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u
T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u

**T_2g⊙A_2u⊙**
⊙	A_2u	E_u	T_1u	T_2u
A_2u	T_1u
E_u	T_1u⊕T_2u	2T_1u⊕2T_2u
T_1u	A_2u⊕E_u⊕T_1u⊕T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u
T_2u	A_1u⊕E_u⊕T_1u⊕T_2u	A_1u⊕A_2u⊕2E_u⊕2T_1u⊕2T_2u	A_1u⊕A_2u⊕2E_u⊕3T_1u⊕4T_2u	A_1u⊕A_2u⊕2E_u⊕4T_1u⊕3T_2u

**T_2g⊙E_u⊙**
⊙	E_u	T_1u	T_2u
E_u	4T_1u⊕4T_2u
T_1u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u
T_2u	2A_1u⊕2A_2u⊕4E_u⊕4T_1u⊕4T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u	2A_1u⊕2A_2u⊕4E_u⊕7T_1u⊕7T_2u

**T_2g⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	3A_1u⊕4A_2u⊕7E_u⊕10T_1u⊕10T_2u
T_2u	4A_1u⊕3A_2u⊕7E_u⊕10T_1u⊕10T_2u	3A_1u⊕4A_2u⊕7E_u⊕10T_1u⊕10T_2u

**T_2g⊙T_2u⊙**
⊙	T_2u
T_2u	4A_1u⊕3A_2u⊕7E_u⊕10T_1u⊕10T_2u

**A_1u⊙A_1u⊙**
⊙	A_1u	A_2u	E_u	T_1u	T_2u
A_1u	A_1g
A_2u	A_2g	A_1g
E_u	E_g	E_g	A_1g⊕A_2g⊕E_g
T_1u	T_1g	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
T_2u	T_2g	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g

**A_1u⊙A_2u⊙**
⊙	A_2u	E_u	T_1u	T_2u
A_2u	A_2g
E_u	E_g	A_1g⊕A_2g⊕E_g
T_1u	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g
T_2u	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g

**A_1u⊙E_u⊙**
⊙	E_u	T_1u	T_2u
E_u	A_1g⊕A_2g⊕3E_g
T_1u	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g
T_2u	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g

**A_1u⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g
T_2u	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g

**A_1u⊙T_2u⊙**
⊙	T_2u
T_2u	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g

**A_2u⊙A_2u⊙**
⊙	A_2u	E_u	T_1u	T_2u
A_2u	A_1g
E_u	E_g	A_1g⊕A_2g⊕E_g
T_1u	T_2g	T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g
T_2u	T_1g	T_1g⊕T_2g	A_2g⊕E_g⊕T_1g⊕T_2g	A_1g⊕E_g⊕T_1g⊕T_2g

**A_2u⊙E_u⊙**
⊙	E_u	T_1u	T_2u
E_u	A_1g⊕A_2g⊕3E_g
T_1u	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g
T_2u	2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g	A_1g⊕A_2g⊕2E_g⊕2T_1g⊕2T_2g

**A_2u⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g
T_2u	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g	A_1g⊕A_2g⊕2E_g⊕3T_1g⊕4T_2g

**A_2u⊙T_2u⊙**
⊙	T_2u
T_2u	A_1g⊕A_2g⊕2E_g⊕4T_1g⊕3T_2g

**E_u⊙E_u⊙**
⊙	E_u	T_1u	T_2u
E_u	3A_1g⊕3A_2g⊕5E_g
T_1u	4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g
T_2u	4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g	2A_1g⊕2A_2g⊕4E_g⊕4T_1g⊕4T_2g

**E_u⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g
T_2u	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g

**E_u⊙T_2u⊙**
⊙	T_2u
T_2u	2A_1g⊕2A_2g⊕4E_g⊕7T_1g⊕7T_2g

**T_1u⊙T_1u⊙**
⊙	T_1u	T_2u
T_1u	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g
T_2u	3A_1g⊕4A_2g⊕7E_g⊕10T_1g⊕10T_2g	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g

**T_1u⊙T_2u⊙**
⊙	T_2u
T_2u	3A_1g⊕4A_2g⊕7E_g⊕10T_1g⊕10T_2g

**T_2u⊙T_2u⊙**
⊙	T_2u
T_2u	4A_1g⊕3A_2g⊕7E_g⊕10T_1g⊕10T_2g