Group #4181 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁
size	1	1	1	2	2	2	6	6	6	6	6	6	6	6	6	6	6	6	27	27	27
order	1	3	3	3	3	3	3	3	3	9	9	9	9	9	9	9	9	9	2	6	6
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1
χ₃	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0
χ₄	2	2	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0
χ₅	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	0	0	0
χ₆	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	0	0	0
χ₇	2	2	2	-1	-1	-1	2	-1	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0	0	0
χ₈	2	2	2	-1	-1	-1	2	-1	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0	0	0
χ₉	2	2	2	-1	-1	-1	2	-1	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0	0	0
χ₁₀	2	2	2	-1	-1	-1	-1	2	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0	0	0
χ₁₁	2	2	2	-1	-1	-1	-1	2	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0	0	0
χ₁₂	2	2	2	-1	-1	-1	-1	2	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0	0	0
χ₁₃	2	2	2	-1	-1	-1	-1	-1	2	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0	0	0
χ₁₄	2	2	2	-1	-1	-1	-1	-1	2	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0	0	0
χ₁₅	2	2	2	-1	-1	-1	-1	-1	2	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0	0	0
χ₁₆	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	3	0	0	0	0	0	0	0	0	0	0	0	0	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₇	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	3	0	0	0	0	0	0	0	0	0	0	0	0	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₈	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	3	0	0	0	0	0	0	0	0	0	0	0	0	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	3	0	0	0	0	0	0	0	0	0	0	0	0	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₀	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #4181