Group #66331 — 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
size	1	1	2	2	3	3	3	3	6	6	6	6	6	6	18	18	18	18	18	18	27	27	27	27	27	27
order	1	2	3	6	3	3	6	6	9	9	9	18	18	18	3	6	9	9	18	18	4	4	12	12	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
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
χ₃	1	-1	1	-1	1	1	-1	-1	1	1	1	-1	-1	-1	1	-1	1	1	-1	-1	$i$	$- i$	$i$	$i$	$- i$	$- i$
χ₄	1	-1	1	-1	1	1	-1	-1	1	1	1	-1	-1	-1	1	-1	1	1	-1	-1	$- i$	$i$	$- i$	$- i$	$i$	$i$
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₆	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	0	0
χ₇	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	-1	2	-1	0	0	0	0	0	0
χ₈	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	-1	2	0	0	0	0	0	0
χ₉	2	-2	2	-2	2	2	-2	-2	2	2	2	-2	-2	-2	-1	1	-1	-1	1	1	0	0	0	0	0	0
χ₁₀	2	-2	2	-2	2	2	-2	-2	-1	-1	-1	1	1	1	2	-2	-1	-1	1	1	0	0	0	0	0	0
χ₁₁	2	-2	2	-2	2	2	-2	-2	-1	-1	-1	1	1	1	-1	1	2	-1	-2	1	0	0	0	0	0	0
χ₁₂	2	-2	2	-2	2	2	-2	-2	-1	-1	-1	1	1	1	-1	1	-1	2	1	-2	0	0	0	0	0	0
χ₁₃	3	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₄	3	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₅	3	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₆	3	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	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	-3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$i$	$- i$	−ζ¹⁵	−ζ³	ζ¹⁵	ζ³
χ₁₈	3	-3	3	-3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$- i$	$i$	ζ¹⁵	ζ³	−ζ¹⁵	−ζ³
χ₁₉	3	-3	3	-3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$i$	$- i$	−ζ³	−ζ¹⁵	ζ³	ζ¹⁵
χ₂₀	3	-3	3	-3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	$- i$	$i$	ζ³	ζ¹⁵	−ζ³	−ζ¹⁵
χ₂₁	6	6	-3	-3	0	0	0	0	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	6	6	-3	-3	0	0	0	0	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	6	6	-3	-3	0	0	0	0	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	-6	-3	3	0	0	0	0	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	-6	-3	3	0	0	0	0	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	-6	-3	3	0	0	0	0	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #66331