Ternary direct products for Point Group C18v

Point Group C_18v

Ternary direct products

**A₁⊙**
⊙	A₁	A₂	B₁	B₂	E₁	E₂	E₃	E₄	E₅	E₆	E₇	E₈
A₁	A₁
A₂	A₂	A₁
B₁	B₁	B₂	A₁
B₂	B₂	B₁	A₂	A₁
E₁	E₁	E₁	E₈	E₈	A₁⊕A₂⊕E₂
E₂	E₂	E₂	E₇	E₇	E₁⊕E₃	A₁⊕A₂⊕E₄
E₃	E₃	E₃	E₆	E₆	E₂⊕E₄	E₁⊕E₅	A₁⊕A₂⊕E₆
E₄	E₄	E₄	E₅	E₅	E₃⊕E₅	E₂⊕E₆	E₁⊕E₇	A₁⊕A₂⊕E₈
E₅	E₅	E₅	E₄	E₄	E₄⊕E₆	E₃⊕E₇	E₂⊕E₈	B₁⊕B₂⊕E₁	A₁⊕A₂⊕E₈
E₆	E₆	E₆	E₃	E₃	E₅⊕E₇	E₄⊕E₈	B₁⊕B₂⊕E₃	E₂⊕E₈	E₁⊕E₇	A₁⊕A₂⊕E₆
E₇	E₇	E₇	E₂	E₂	E₆⊕E₈	B₁⊕B₂⊕E₅	E₄⊕E₈	E₃⊕E₇	E₂⊕E₆	E₁⊕E₅	A₁⊕A₂⊕E₄
E₈	E₈	E₈	E₁	E₁	B₁⊕B₂⊕E₇	E₆⊕E₈	E₅⊕E₇	E₄⊕E₆	E₃⊕E₅	E₂⊕E₄	E₁⊕E₃	A₁⊕A₂⊕E₂

**A₂⊙**
⊙	A₂	B₁	B₂	E₁	E₂	E₃	E₄	E₅	E₆	E₇	E₈
A₂	A₂
B₁	B₁	A₂
B₂	B₂	A₁	A₂
E₁	E₁	E₈	E₈	A₁⊕A₂⊕E₂
E₂	E₂	E₇	E₇	E₁⊕E₃	A₁⊕A₂⊕E₄
E₃	E₃	E₆	E₆	E₂⊕E₄	E₁⊕E₅	A₁⊕A₂⊕E₆
E₄	E₄	E₅	E₅	E₃⊕E₅	E₂⊕E₆	E₁⊕E₇	A₁⊕A₂⊕E₈
E₅	E₅	E₄	E₄	E₄⊕E₆	E₃⊕E₇	E₂⊕E₈	B₁⊕B₂⊕E₁	A₁⊕A₂⊕E₈
E₆	E₆	E₃	E₃	E₅⊕E₇	E₄⊕E₈	B₁⊕B₂⊕E₃	E₂⊕E₈	E₁⊕E₇	A₁⊕A₂⊕E₆
E₇	E₇	E₂	E₂	E₆⊕E₈	B₁⊕B₂⊕E₅	E₄⊕E₈	E₃⊕E₇	E₂⊕E₆	E₁⊕E₅	A₁⊕A₂⊕E₄
E₈	E₈	E₁	E₁	B₁⊕B₂⊕E₇	E₆⊕E₈	E₅⊕E₇	E₄⊕E₆	E₃⊕E₅	E₂⊕E₄	E₁⊕E₃	A₁⊕A₂⊕E₂

**B₁⊙**
⊙	B₁	B₂	E₁	E₂	E₃	E₄	E₅	E₆	E₇	E₈
B₁	B₁
B₂	B₂	B₁
E₁	E₁	E₁	B₁⊕B₂⊕E₇
E₂	E₂	E₂	E₆⊕E₈	B₁⊕B₂⊕E₅
E₃	E₃	E₃	E₅⊕E₇	E₄⊕E₈	B₁⊕B₂⊕E₃
E₄	E₄	E₄	E₄⊕E₆	E₃⊕E₇	E₂⊕E₈	B₁⊕B₂⊕E₁
E₅	E₅	E₅	E₃⊕E₅	E₂⊕E₆	E₁⊕E₇	A₁⊕A₂⊕E₈	B₁⊕B₂⊕E₁
E₆	E₆	E₆	E₂⊕E₄	E₁⊕E₅	A₁⊕A₂⊕E₆	E₁⊕E₇	E₂⊕E₈	B₁⊕B₂⊕E₃
E₇	E₇	E₇	E₁⊕E₃	A₁⊕A₂⊕E₄	E₁⊕E₅	E₂⊕E₆	E₃⊕E₇	E₄⊕E₈	B₁⊕B₂⊕E₅
E₈	E₈	E₈	A₁⊕A₂⊕E₂	E₁⊕E₃	E₂⊕E₄	E₃⊕E₅	E₄⊕E₆	E₅⊕E₇	E₆⊕E₈	B₁⊕B₂⊕E₇

**B₂⊙**
⊙	B₂	E₁	E₂	E₃	E₄	E₅	E₆	E₇	E₈
B₂	B₂
E₁	E₁	B₁⊕B₂⊕E₇
E₂	E₂	E₆⊕E₈	B₁⊕B₂⊕E₅
E₃	E₃	E₅⊕E₇	E₄⊕E₈	B₁⊕B₂⊕E₃
E₄	E₄	E₄⊕E₆	E₃⊕E₇	E₂⊕E₈	B₁⊕B₂⊕E₁
E₅	E₅	E₃⊕E₅	E₂⊕E₆	E₁⊕E₇	A₁⊕A₂⊕E₈	B₁⊕B₂⊕E₁
E₆	E₆	E₂⊕E₄	E₁⊕E₅	A₁⊕A₂⊕E₆	E₁⊕E₇	E₂⊕E₈	B₁⊕B₂⊕E₃
E₇	E₇	E₁⊕E₃	A₁⊕A₂⊕E₄	E₁⊕E₅	E₂⊕E₆	E₃⊕E₇	E₄⊕E₈	B₁⊕B₂⊕E₅
E₈	E₈	A₁⊕A₂⊕E₂	E₁⊕E₃	E₂⊕E₄	E₃⊕E₅	E₄⊕E₆	E₅⊕E₇	E₆⊕E₈	B₁⊕B₂⊕E₇

**E₁⊙**
⊙	E₁	E₂	E₃	E₄	E₅	E₆	E₇	E₈
E₁	3E₁⊕E₃
E₂	A₁⊕A₂⊕2E₂⊕E₄	2E₁⊕E₃⊕E₅
E₃	E₁⊕2E₃⊕E₅	A₁⊕A₂⊕E₂⊕E₄⊕E₆	2E₁⊕E₅⊕E₇
E₄	E₂⊕2E₄⊕E₆	E₁⊕E₃⊕E₅⊕E₇	A₁⊕A₂⊕E₂⊕E₆⊕E₈	B₁⊕B₂⊕2E₁⊕E₇
E₅	E₃⊕2E₅⊕E₇	E₂⊕E₄⊕E₆⊕E₈	B₁⊕B₂⊕E₁⊕E₃⊕E₇	A₁⊕A₂⊕E₂⊕2E₈	B₁⊕B₂⊕2E₁⊕E₇
E₆	E₄⊕2E₆⊕E₈	B₁⊕B₂⊕E₃⊕E₅⊕E₇	E₂⊕E₄⊕2E₈	B₁⊕B₂⊕E₁⊕E₃⊕E₇	A₁⊕A₂⊕E₂⊕E₆⊕E₈	2E₁⊕E₅⊕E₇
E₇	B₁⊕B₂⊕E₅⊕2E₇	E₄⊕E₆⊕2E₈	B₁⊕B₂⊕E₃⊕E₅⊕E₇	E₂⊕E₄⊕E₆⊕E₈	E₁⊕E₃⊕E₅⊕E₇	A₁⊕A₂⊕E₂⊕E₄⊕E₆	2E₁⊕E₃⊕E₅
E₈	E₆⊕3E₈	B₁⊕B₂⊕E₅⊕2E₇	E₄⊕2E₆⊕E₈	E₃⊕2E₅⊕E₇	E₂⊕2E₄⊕E₆	E₁⊕2E₃⊕E₅	A₁⊕A₂⊕2E₂⊕E₄	3E₁⊕E₃

**E₂⊙**
⊙	E₂	E₃	E₄	E₅	E₆	E₇	E₈
E₂	3E₂⊕E₆
E₃	E₁⊕2E₃⊕E₇	2E₂⊕E₄⊕E₈
E₄	A₁⊕A₂⊕2E₄⊕E₈	B₁⊕B₂⊕E₁⊕E₃⊕E₅	2E₂⊕E₆⊕E₈
E₅	B₁⊕B₂⊕E₁⊕2E₅	A₁⊕A₂⊕E₄⊕E₆⊕E₈	E₁⊕E₃⊕2E₇	2E₂⊕E₆⊕E₈
E₆	E₂⊕2E₆⊕E₈	E₁⊕E₅⊕2E₇	A₁⊕A₂⊕E₄⊕E₆⊕E₈	B₁⊕B₂⊕E₁⊕E₃⊕E₅	2E₂⊕E₄⊕E₈
E₇	E₃⊕3E₇	E₂⊕2E₆⊕E₈	B₁⊕B₂⊕E₁⊕2E₅	A₁⊕A₂⊕2E₄⊕E₈	E₁⊕2E₃⊕E₇	3E₂⊕E₆
E₈	E₄⊕E₆⊕2E₈	B₁⊕B₂⊕E₃⊕E₅⊕E₇	E₂⊕E₄⊕E₆⊕E₈	E₁⊕E₃⊕E₅⊕E₇	A₁⊕A₂⊕E₂⊕E₄⊕E₆	2E₁⊕E₃⊕E₅	A₁⊕A₂⊕2E₂⊕E₄

**E₃⊙**
⊙	E₃	E₄	E₅	E₆	E₇	E₈
E₃	B₁⊕B₂⊕3E₃
E₄	E₂⊕2E₄⊕E₈	2E₃⊕E₅⊕E₇
E₅	E₁⊕2E₅⊕E₇	E₂⊕E₄⊕2E₆	2E₃⊕E₅⊕E₇
E₆	A₁⊕A₂⊕3E₆	E₁⊕2E₅⊕E₇	E₂⊕2E₄⊕E₈	B₁⊕B₂⊕3E₃
E₇	E₁⊕E₅⊕2E₇	A₁⊕A₂⊕E₄⊕E₆⊕E₈	B₁⊕B₂⊕E₁⊕E₃⊕E₅	2E₂⊕E₄⊕E₈	E₁⊕2E₃⊕E₇
E₈	E₂⊕E₄⊕2E₈	B₁⊕B₂⊕E₁⊕E₃⊕E₇	A₁⊕A₂⊕E₂⊕E₆⊕E₈	2E₁⊕E₅⊕E₇	A₁⊕A₂⊕E₂⊕E₄⊕E₆	E₁⊕2E₃⊕E₅

**E₄⊙**
⊙	E₄	E₅	E₆	E₇	E₈
E₄	3E₄⊕E₆
E₅	E₃⊕3E₅	3E₄⊕E₆
E₆	E₂⊕E₄⊕2E₆	2E₃⊕E₅⊕E₇	E₂⊕2E₄⊕E₈
E₇	E₁⊕E₃⊕2E₇	2E₂⊕E₆⊕E₈	B₁⊕B₂⊕E₁⊕E₃⊕E₅	A₁⊕A₂⊕2E₄⊕E₈
E₈	A₁⊕A₂⊕E₂⊕2E₈	B₁⊕B₂⊕2E₁⊕E₇	A₁⊕A₂⊕E₂⊕E₆⊕E₈	E₁⊕E₃⊕E₅⊕E₇	E₂⊕2E₄⊕E₆

**E₅⊙**
⊙	E₅	E₆	E₇	E₈
E₅	E₃⊕3E₅
E₆	E₂⊕E₄⊕2E₆	E₁⊕2E₅⊕E₇
E₇	E₁⊕E₃⊕2E₇	A₁⊕A₂⊕E₄⊕E₆⊕E₈	B₁⊕B₂⊕E₁⊕2E₅
E₈	A₁⊕A₂⊕E₂⊕2E₈	B₁⊕B₂⊕E₁⊕E₃⊕E₇	E₂⊕E₄⊕E₆⊕E₈	E₃⊕2E₅⊕E₇

**E₆⊙**
⊙	E₆	E₇	E₈
E₆	A₁⊕A₂⊕3E₆
E₇	E₁⊕E₅⊕2E₇	E₂⊕2E₆⊕E₈
E₈	E₂⊕E₄⊕2E₈	B₁⊕B₂⊕E₃⊕E₅⊕E₇	E₄⊕2E₆⊕E₈

**E₇⊙**
⊙	E₇	E₈
E₇	E₃⊕3E₇
E₈	E₄⊕E₆⊕2E₈	B₁⊕B₂⊕E₅⊕2E₇

**E₈⊙**
⊙	E₈
E₈	E₆⊕3E₈