Group #6281 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄
size	1	1	2	2	4	4	4	4	4	4	4	4	4	4	4	4	9	9	18	18	27	27	27	27
order	1	2	3	6	3	3	3	3	3	3	6	6	6	6	6	6	4	4	12	12	8	8	8	8
χ₁	1	1	1	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	-1	-1	-1
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$i$	$- i$	$- i$
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$- i$	$i$	$i$
χ₅	1	-1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	$i$	$- i$	$i$	$- i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³
χ₆	1	-1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	$i$	$- i$	$i$	$- i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³
χ₇	1	-1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	$- i$	$i$	$- i$	$i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³
χ₈	1	-1	1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	$- i$	$i$	$- i$	$i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³
χ₉	2	2	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0
χ₁₀	2	2	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0
χ₁₁	2	-2	-1	1	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	$2 i$	$- 2 i$	$- i$	$i$	0	0	0	0
χ₁₂	2	-2	-1	1	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	$- 2 i$	$2 i$	$i$	$- i$	0	0	0	0
χ₁₃	4	4	4	4	1	-2	1	1	-2	-2	1	-2	1	1	-2	-2	0	0	0	0	0	0	0	0
χ₁₄	4	4	4	4	-2	1	-2	-2	1	1	-2	1	-2	-2	1	1	0	0	0	0	0	0	0	0
χ₁₅	4	4	-2	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0
χ₁₆	4	4	-2	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0
χ₁₇	4	4	-2	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₈	4	4	-2	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₉	4	-4	4	-4	1	-2	1	1	-2	-2	-1	2	-1	-1	2	2	0	0	0	0	0	0	0	0
χ₂₀	4	-4	4	-4	-2	1	-2	-2	1	1	2	-1	2	2	-1	-1	0	0	0	0	0	0	0	0
χ₂₁	4	-4	-2	2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0
χ₂₂	4	-4	-2	2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0
χ₂₃	4	-4	-2	2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₂₄	4	-4	-2	2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0

Character table — Group #6281