Quaternary direct products for Point Group D2h

Point Group D_2h

Quaternary direct products

**A_1g⊙A_1g⊙**
⊙	A_1g	B_1g	B_2g	B_3g	A_1u	B_1u	B_2u	B_3u
A_1g	A_1g
B_1g	B_1g	A_1g
B_2g	B_2g	B_3g	A_1g
B_3g	B_3g	B_2g	B_1g	A_1g
A_1u	A_1u	B_1u	B_2u	B_3u	A_1g
B_1u	B_1u	A_1u	B_3u	B_2u	B_1g	A_1g
B_2u	B_2u	B_3u	A_1u	B_1u	B_2g	B_3g	A_1g
B_3u	B_3u	B_2u	B_1u	A_1u	B_3g	B_2g	B_1g	A_1g

**A_1g⊙B_1g⊙**
⊙	B_1g	B_2g	B_3g	A_1u	B_1u	B_2u	B_3u
B_1g	B_1g
B_2g	B_2g	B_1g
B_3g	B_3g	A_1g	B_1g
A_1u	A_1u	B_3u	B_2u	B_1g
B_1u	B_1u	B_2u	B_3u	A_1g	B_1g
B_2u	B_2u	B_1u	A_1u	B_3g	B_2g	B_1g
B_3u	B_3u	A_1u	B_1u	B_2g	B_3g	A_1g	B_1g

**A_1g⊙B_2g⊙**
⊙	B_2g	B_3g	A_1u	B_1u	B_2u	B_3u
B_2g	B_2g
B_3g	B_3g	B_2g
A_1u	A_1u	B_1u	B_2g
B_1u	B_1u	A_1u	B_3g	B_2g
B_2u	B_2u	B_3u	A_1g	B_1g	B_2g
B_3u	B_3u	B_2u	B_1g	A_1g	B_3g	B_2g

**A_1g⊙B_3g⊙**
⊙	B_3g	A_1u	B_1u	B_2u	B_3u
B_3g	B_3g
A_1u	A_1u	B_3g
B_1u	B_1u	B_2g	B_3g
B_2u	B_2u	B_1g	A_1g	B_3g
B_3u	B_3u	A_1g	B_1g	B_2g	B_3g

**A_1g⊙A_1u⊙**
⊙	A_1u	B_1u	B_2u	B_3u
A_1u	A_1u
B_1u	B_1u	A_1u
B_2u	B_2u	B_3u	A_1u
B_3u	B_3u	B_2u	B_1u	A_1u

**A_1g⊙B_1u⊙**
⊙	B_1u	B_2u	B_3u
B_1u	B_1u
B_2u	B_2u	B_1u
B_3u	B_3u	A_1u	B_1u

**A_1g⊙B_2u⊙**
⊙	B_2u	B_3u
B_2u	B_2u
B_3u	B_3u	B_2u

**A_1g⊙B_3u⊙**
⊙	B_3u
B_3u	B_3u

**B_1g⊙B_1g⊙**
⊙	B_1g	B_2g	B_3g	A_1u	B_1u	B_2u	B_3u
B_1g	A_1g
B_2g	B_3g	A_1g
B_3g	B_2g	B_1g	A_1g
A_1u	B_1u	B_2u	B_3u	A_1g
B_1u	A_1u	B_3u	B_2u	B_1g	A_1g
B_2u	B_3u	A_1u	B_1u	B_2g	B_3g	A_1g
B_3u	B_2u	B_1u	A_1u	B_3g	B_2g	B_1g	A_1g

**B_1g⊙B_2g⊙**
⊙	B_2g	B_3g	A_1u	B_1u	B_2u	B_3u
B_2g	B_3g
B_3g	B_2g	B_3g
A_1u	B_1u	A_1u	B_3g
B_1u	A_1u	B_1u	B_2g	B_3g
B_2u	B_3u	B_2u	B_1g	A_1g	B_3g
B_3u	B_2u	B_3u	A_1g	B_1g	B_2g	B_3g

**B_1g⊙B_3g⊙**
⊙	B_3g	A_1u	B_1u	B_2u	B_3u
B_3g	B_2g
A_1u	B_1u	B_2g
B_1u	A_1u	B_3g	B_2g
B_2u	B_3u	A_1g	B_1g	B_2g
B_3u	B_2u	B_1g	A_1g	B_3g	B_2g

**B_1g⊙A_1u⊙**
⊙	A_1u	B_1u	B_2u	B_3u
A_1u	B_1u
B_1u	A_1u	B_1u
B_2u	B_3u	B_2u	B_1u
B_3u	B_2u	B_3u	A_1u	B_1u

**B_1g⊙B_1u⊙**
⊙	B_1u	B_2u	B_3u
B_1u	A_1u
B_2u	B_3u	A_1u
B_3u	B_2u	B_1u	A_1u

**B_1g⊙B_2u⊙**
⊙	B_2u	B_3u
B_2u	B_3u
B_3u	B_2u	B_3u

**B_1g⊙B_3u⊙**
⊙	B_3u
B_3u	B_2u

**B_2g⊙B_2g⊙**
⊙	B_2g	B_3g	A_1u	B_1u	B_2u	B_3u
B_2g	A_1g
B_3g	B_1g	A_1g
A_1u	B_2u	B_3u	A_1g
B_1u	B_3u	B_2u	B_1g	A_1g
B_2u	A_1u	B_1u	B_2g	B_3g	A_1g
B_3u	B_1u	A_1u	B_3g	B_2g	B_1g	A_1g

**B_2g⊙B_3g⊙**
⊙	B_3g	A_1u	B_1u	B_2u	B_3u
B_3g	B_1g
A_1u	B_2u	B_1g
B_1u	B_3u	A_1g	B_1g
B_2u	A_1u	B_3g	B_2g	B_1g
B_3u	B_1u	B_2g	B_3g	A_1g	B_1g

**B_2g⊙A_1u⊙**
⊙	A_1u	B_1u	B_2u	B_3u
A_1u	B_2u
B_1u	B_3u	B_2u
B_2u	A_1u	B_1u	B_2u
B_3u	B_1u	A_1u	B_3u	B_2u

**B_2g⊙B_1u⊙**
⊙	B_1u	B_2u	B_3u
B_1u	B_3u
B_2u	A_1u	B_3u
B_3u	B_1u	B_2u	B_3u

**B_2g⊙B_2u⊙**
⊙	B_2u	B_3u
B_2u	A_1u
B_3u	B_1u	A_1u

**B_2g⊙B_3u⊙**
⊙	B_3u
B_3u	B_1u

**B_3g⊙B_3g⊙**
⊙	B_3g	A_1u	B_1u	B_2u	B_3u
B_3g	A_1g
A_1u	B_3u	A_1g
B_1u	B_2u	B_1g	A_1g
B_2u	B_1u	B_2g	B_3g	A_1g
B_3u	A_1u	B_3g	B_2g	B_1g	A_1g

**B_3g⊙A_1u⊙**
⊙	A_1u	B_1u	B_2u	B_3u
A_1u	B_3u
B_1u	B_2u	B_3u
B_2u	B_1u	A_1u	B_3u
B_3u	A_1u	B_1u	B_2u	B_3u

**B_3g⊙B_1u⊙**
⊙	B_1u	B_2u	B_3u
B_1u	B_2u
B_2u	B_1u	B_2u
B_3u	A_1u	B_3u	B_2u

**B_3g⊙B_2u⊙**
⊙	B_2u	B_3u
B_2u	B_1u
B_3u	A_1u	B_1u

**B_3g⊙B_3u⊙**
⊙	B_3u
B_3u	A_1u

**A_1u⊙A_1u⊙**
⊙	A_1u	B_1u	B_2u	B_3u
A_1u	A_1g
B_1u	B_1g	A_1g
B_2u	B_2g	B_3g	A_1g
B_3u	B_3g	B_2g	B_1g	A_1g

**A_1u⊙B_1u⊙**
⊙	B_1u	B_2u	B_3u
B_1u	B_1g
B_2u	B_2g	B_1g
B_3u	B_3g	A_1g	B_1g

**A_1u⊙B_2u⊙**
⊙	B_2u	B_3u
B_2u	B_2g
B_3u	B_3g	B_2g

**A_1u⊙B_3u⊙**
⊙	B_3u
B_3u	B_3g

**B_1u⊙B_1u⊙**
⊙	B_1u	B_2u	B_3u
B_1u	A_1g
B_2u	B_3g	A_1g
B_3u	B_2g	B_1g	A_1g

**B_1u⊙B_2u⊙**
⊙	B_2u	B_3u
B_2u	B_3g
B_3u	B_2g	B_3g

**B_1u⊙B_3u⊙**
⊙	B_3u
B_3u	B_2g

**B_2u⊙B_2u⊙**
⊙	B_2u	B_3u
B_2u	A_1g
B_3u	B_1g	A_1g

**B_2u⊙B_3u⊙**
⊙	B_3u
B_3u	B_1g

**B_3u⊙B_3u⊙**
⊙	B_3u
B_3u	A_1g