Group #92192 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂
size	1	2	6	6	6	6	6	6	6	6	6	6	6	6	6	27	27	54	54	81	81	81
order	1	3	3	9	9	9	9	9	9	9	9	9	9	9	9	3	3	3	3	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	1
χ₂	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₇	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0
χ₈	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0
χ₉	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0
χ₁₀	6	6	6	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	6	6	-3	0	0	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	0	0	0	0	0
χ₁₂	6	6	-3	0	0	0	ζ−ζ²−ζ⁴−2ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	0	0	0	0	0
χ₁₃	6	6	-3	0	0	0	−2ζ+2ζ²−ζ⁴+ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	0	0	0	0	0
χ₁₄	6	-3	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	2+2ζ+2ζ⁸	−1−ζ−ζ⁸	−1−ζ−ζ⁸	2+2ζ²+2ζ⁷	−1−ζ²−ζ⁷	−1−ζ²−ζ⁷	2+2ζ⁴+2ζ⁵	−1−ζ⁴−ζ⁵	−1−ζ⁴−ζ⁵	0	0	0	0	0	0	0
χ₁₅	6	-3	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	−1−ζ−ζ⁸	2+2ζ+2ζ⁸	−1−ζ−ζ⁸	−1−ζ²−ζ⁷	2+2ζ²+2ζ⁷	−1−ζ²−ζ⁷	−1−ζ⁴−ζ⁵	2+2ζ⁴+2ζ⁵	−1−ζ⁴−ζ⁵	0	0	0	0	0	0	0
χ₁₆	6	-3	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	−1−ζ−ζ⁸	−1−ζ−ζ⁸	2+2ζ+2ζ⁸	−1−ζ²−ζ⁷	−1−ζ²−ζ⁷	2+2ζ²+2ζ⁷	−1−ζ⁴−ζ⁵	−1−ζ⁴−ζ⁵	2+2ζ⁴+2ζ⁵	0	0	0	0	0	0	0
χ₁₇	6	-3	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	2+2ζ²+2ζ⁷	−1−ζ²−ζ⁷	−1−ζ²−ζ⁷	2+2ζ⁴+2ζ⁵	−1−ζ⁴−ζ⁵	−1−ζ⁴−ζ⁵	2+2ζ+2ζ⁸	−1−ζ−ζ⁸	−1−ζ−ζ⁸	0	0	0	0	0	0	0
χ₁₈	6	-3	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	−1−ζ²−ζ⁷	2+2ζ²+2ζ⁷	−1−ζ²−ζ⁷	−1−ζ⁴−ζ⁵	2+2ζ⁴+2ζ⁵	−1−ζ⁴−ζ⁵	−1−ζ−ζ⁸	2+2ζ+2ζ⁸	−1−ζ−ζ⁸	0	0	0	0	0	0	0
χ₁₉	6	-3	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	−1−ζ²−ζ⁷	−1−ζ²−ζ⁷	2+2ζ²+2ζ⁷	−1−ζ⁴−ζ⁵	−1−ζ⁴−ζ⁵	2+2ζ⁴+2ζ⁵	−1−ζ−ζ⁸	−1−ζ−ζ⁸	2+2ζ+2ζ⁸	0	0	0	0	0	0	0
χ₂₀	6	-3	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	2+2ζ⁴+2ζ⁵	−1−ζ⁴−ζ⁵	−1−ζ⁴−ζ⁵	2+2ζ+2ζ⁸	−1−ζ−ζ⁸	−1−ζ−ζ⁸	2+2ζ²+2ζ⁷	−1−ζ²−ζ⁷	−1−ζ²−ζ⁷	0	0	0	0	0	0	0
χ₂₁	6	-3	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−1−ζ⁴−ζ⁵	2+2ζ⁴+2ζ⁵	−1−ζ⁴−ζ⁵	−1−ζ−ζ⁸	2+2ζ+2ζ⁸	−1−ζ−ζ⁸	−1−ζ²−ζ⁷	2+2ζ²+2ζ⁷	−1−ζ²−ζ⁷	0	0	0	0	0	0	0
χ₂₂	6	-3	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−1−ζ⁴−ζ⁵	−1−ζ⁴−ζ⁵	2+2ζ⁴+2ζ⁵	−1−ζ−ζ⁸	−1−ζ−ζ⁸	2+2ζ+2ζ⁸	−1−ζ²−ζ⁷	−1−ζ²−ζ⁷	2+2ζ²+2ζ⁷	0	0	0	0	0	0	0

Character table — Group #92192