Group #14518106 — 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	C₂₅	C₂₆	C₂₇	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃
size	1	2	3	3	3	6	6	6	6	8	8	8	9	9	18	18	18	18	18	18	24	24	24	24	24	24	24	24	54	54	54	72	72	72	72	72	72	162	162	162	162	162	162
order	1	3	2	3	3	6	9	9	9	3	3	3	6	6	9	9	9	18	18	18	3	3	9	9	9	9	9	9	18	18	18	9	9	9	9	9	9	2	4	6	6	12	12
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	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	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	2	2	2	2	2	-1	-1	-1	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₄	2	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₅	2	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	0	0	0	0	0	0
χ₆	2	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	0	0	0	0	0	0
χ₇	2	2	2	2	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	2	-1	-1	2	-1	-1	2	-1	-1	0	0	0	0	0	0
χ₈	2	2	2	2	2	2	-1	-1	-1	2	2	2	2	2	-1	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	2	-1	-1	2	-1	0	0	0	0	0	0
χ₉	2	2	2	2	2	2	-1	-1	-1	2	2	2	2	2	-1	-1	2	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	2	-1	-1	2	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	2	-1	2	-1	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	2	-1	2	-1	-1	-1	-1	2	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	2	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	2	-1	0	0	0	0	0	0
χ₁₅	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	2	-1	2	-1	2	-1	-1	0	0	0	0	0	0
χ₁₆	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	3	0	0	0	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₇	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	3	0	0	0	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₈	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	3	0	0	0	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₉	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	3	0	0	0	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₀	3	3	-1	3	3	-1	3	3	3	0	0	0	-1	-1	3	3	3	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	1	-1	1	1	-1	-1
χ₂₁	3	3	-1	3	3	-1	3	3	3	0	0	0	-1	-1	3	3	3	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	-1	1	-1	-1	1	1
χ₂₂	6	6	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	6	0	0	0	-3	-3	-3	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	0	0	0	0	0	0	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	6	6	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	6	0	0	0	-3	-3	-3	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	0	0	0	0	0	0	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	6	-2	6	6	-2	6	6	6	0	0	0	-2	-2	-3	-3	-3	-2	-2	-2	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	6	-2	6	6	-2	-3	-3	-3	0	0	0	-2	-2	6	-3	-3	1	1	1	0	0	0	0	0	0	0	0	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	6	-2	6	6	-2	-3	-3	-3	0	0	0	-2	-2	-3	6	-3	1	1	1	0	0	0	0	0	0	0	0	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	-2	6	6	-2	-3	-3	-3	0	0	0	-2	-2	-3	-3	6	1	1	1	0	0	0	0	0	0	0	0	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	-3	6	0	0	-3	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	6	-3	-3	0	0	0	0	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	-3	6	0	0	-3	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	-3	6	-3	0	0	0	0	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	-3	6	0	0	-3	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	-3	-3	6	0	0	0	0	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	-3	6	0	0	-3	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	6	-3	-3	0	0	0	0	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	-3	6	0	0	-3	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	-3	6	-3	0	0	0	0	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	-3	6	0	0	-3	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	-3	-3	6	0	0	0	0	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	-3	6	0	0	-3	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	6	-3	-3	0	0	0	0	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	-3	6	0	0	-3	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	-3	6	-3	0	0	0	0	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	-3	6	0	0	-3	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	-3	-3	6	0	0	0	0	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	9	9	-3	$\frac{- 9 + 9 i \sqrt{3}}{2}$	$\frac{- 9 - 9 i \sqrt{3}}{2}$	-3	0	0	0	0	0	0	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₃₈	9	9	-3	$\frac{- 9 + 9 i \sqrt{3}}{2}$	$\frac{- 9 - 9 i \sqrt{3}}{2}$	-3	0	0	0	0	0	0	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃₉	9	9	-3	$\frac{- 9 - 9 i \sqrt{3}}{2}$	$\frac{- 9 + 9 i \sqrt{3}}{2}$	-3	0	0	0	0	0	0	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₄₀	9	9	-3	$\frac{- 9 - 9 i \sqrt{3}}{2}$	$\frac{- 9 + 9 i \sqrt{3}}{2}$	-3	0	0	0	0	0	0	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄₁	18	-9	-6	0	0	3	3ζ−3ζ²+6ζ⁴+3ζ⁵	3ζ−3ζ²−3ζ⁴−6ζ⁵	−6ζ+6ζ²−3ζ⁴+3ζ⁵	0	0	0	0	0	0	0	0	−ζ+ζ²−2ζ⁴−ζ⁵	−ζ+ζ²+ζ⁴+2ζ⁵	2ζ−2ζ²+ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	18	-9	-6	0	0	3	3ζ−3ζ²−3ζ⁴−6ζ⁵	−6ζ+6ζ²−3ζ⁴+3ζ⁵	3ζ−3ζ²+6ζ⁴+3ζ⁵	0	0	0	0	0	0	0	0	−ζ+ζ²+ζ⁴+2ζ⁵	2ζ−2ζ²+ζ⁴−ζ⁵	−ζ+ζ²−2ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	18	-9	-6	0	0	3	−6ζ+6ζ²−3ζ⁴+3ζ⁵	3ζ−3ζ²+6ζ⁴+3ζ⁵	3ζ−3ζ²−3ζ⁴−6ζ⁵	0	0	0	0	0	0	0	0	2ζ−2ζ²+ζ⁴−ζ⁵	−ζ+ζ²−2ζ⁴−ζ⁵	−ζ+ζ²+ζ⁴+2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #14518106