Group #6879 — 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
size	1	1	1	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	27	27	27	27	27	27
order	1	3	3	3	3	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	9	3	3	3	3	3	3
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
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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$
χ₆	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1
χ₇	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₈	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1
χ₉	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₀	3	3	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	3	3	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₂	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	ζ+2ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	ζ−ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	2ζ²+ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	0	0	0	0	0	0
χ₁₃	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	ζ−ζ⁴	ζ−ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	0	0	0	0	0	0
χ₁₄	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	−2ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	ζ−ζ⁴	ζ−ζ⁴	−ζ²−2ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	0	0	0	0	0	0
χ₁₅	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	2ζ²+ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	ζ−ζ⁴	ζ−ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	0	0	0	0	0	0
χ₁₆	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	−2ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	ζ−ζ⁴	ζ−ζ⁴	0	0	0	0	0	0
χ₁₇	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	−ζ²−2ζ⁵	−ζ²−2ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²+ζ⁵	ζ+2ζ⁴	ζ+2ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	ζ−ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	−2ζ−ζ⁴	0	0	0	0	0	0
χ₁₈	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	ζ+2ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	0	0	0	0	0	0
χ₁₉	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	ζ+2ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	0	0	0	0	0	0
χ₂₀	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	ζ+2ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	0	0	0	0	0	0
χ₂₁	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	−ζ²+ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	0	0	0	0	0	0
χ₂₂	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	−ζ²+ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	0	0	0	0	0	0
χ₂₃	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	−ζ²+ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	0	0	0	0	0	0
χ₂₄	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	−2ζ−ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	−ζ²−2ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	0	0	0	0	0	0
χ₂₅	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	−2ζ−ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	−ζ²−2ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	0	0	0	0	0	0
χ₂₆	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	0	0	−2ζ−ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	−ζ²−2ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	0	0	0	0	0	0
χ₂₇	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	0	0	0	0	0	0
χ₂₈	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	0	0	0	0	0	0
χ₂₉	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	2ζ²+ζ⁵	−ζ²+ζ⁵	−ζ²−2ζ⁵	ζ−ζ⁴	−2ζ−ζ⁴	ζ+2ζ⁴	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ+ζ³+ζ⁵	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	1+ζ²+ζ⁷	ζ+ζ³+ζ⁵	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	0	0	0	0	0	0
χ₃₀	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	−ζ²+ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	−2ζ−ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	0	0	0	0	0	0
χ₃₁	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	−ζ²+ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	−2ζ−ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	0	0	0	0	0	0
χ₃₂	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	−ζ²+ζ⁵	−ζ²−2ζ⁵	2ζ²+ζ⁵	−2ζ−ζ⁴	ζ+2ζ⁴	ζ−ζ⁴	ζ⁵+ζ⁶+ζ⁷	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ³+ζ⁷+ζ⁸	ζ³+ζ⁷+ζ⁸	ζ+ζ²+ζ⁶	1+ζ⁴+ζ⁵	ζ²+ζ³+ζ⁴	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	0	0	0	0	0	0
χ₃₃	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	−ζ²−2ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	ζ+2ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	0	0	0	0	0	0
χ₃₄	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	−ζ²−2ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	ζ+2ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	0	0	0	0	0	0
χ₃₅	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	0	0	−ζ²−2ζ⁵	2ζ²+ζ⁵	−ζ²+ζ⁵	ζ+2ζ⁴	ζ−ζ⁴	−2ζ−ζ⁴	ζ⁴+ζ⁶+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ+ζ²+ζ⁶	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ²+ζ³+ζ⁴	ζ²+ζ³+ζ⁴	ζ⁵+ζ⁶+ζ⁷	1+ζ+ζ⁸	ζ+ζ³+ζ⁵	1+ζ²+ζ⁷	ζ⁴+ζ⁶+ζ⁸	ζ³+ζ⁷+ζ⁸	1+ζ⁴+ζ⁵	ζ+ζ²+ζ⁶	0	0	0	0	0	0

Character table — Group #6879