Group #14516499 — 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	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁
size	1	2	2	2	2	3	3	3	6	6	6	6	6	6	9	9	18	18	18	18	18	18	18	18	18	18	18	18	18	18	24	24	24	24	24	24	24	24	24	72	72	72	72	72	72	162	162	162	162	162	162
order	1	3	9	9	9	2	3	3	6	9	9	18	18	18	6	6	3	6	6	6	9	9	18	18	18	18	18	18	18	18	27	27	27	27	27	27	27	27	27	27	27	27	27	27	27	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	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	1	1	-1	-1	-1	-1	-1	-1
χ₃	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-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	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	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	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-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	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-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	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	0	0	0	0	0	0
χ₈	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	0	0	0	0	0	0
χ₉	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	0	0	0	0	0	0
χ₁₀	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	2	2	2	-1	-1	-1	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	0	0	0	0	0	0
χ₁₁	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	2	2	2	-1	-1	-1	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	0	0	0	0	0	0
χ₁₂	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	-1	-1	-1	2	2	2	-1	-1	-1	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	0	0	0	0	0	0
χ₁₃	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	-1	2	2	2	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	0	0	0	0	0	0
χ₁₄	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	-1	2	2	2	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ⁶+ζ²¹	0	0	0	0	0	0
χ₁₅	2	2	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	-1	2	2	2	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	ζ³+ζ²⁴	ζ³+ζ²⁴	ζ⁶+ζ²¹	ζ¹²+ζ¹⁵	0	0	0	0	0	0
χ₁₆	3	3	3	3	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	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	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	3	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	3	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	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	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	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	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	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	3	3	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	3	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	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	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	3	3	3	-1	3	3	-1	3	3	-1	-1	-1	-1	-1	3	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	1	1	-1	-1
χ₂₁	3	3	3	3	3	-1	3	3	-1	3	3	-1	-1	-1	-1	-1	3	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	-1	1	1
χ₂₂	3	3	3	3	3	-1	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	-1	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₂₃	3	3	3	3	3	-1	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	-1	$\frac{- 3 + 3 i \sqrt{3}}{2}$	$\frac{- 3 - 3 i \sqrt{3}}{2}$	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₂₄	3	3	3	3	3	-1	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	-1	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₅	3	3	3	3	3	-1	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	-1	$\frac{- 3 - 3 i \sqrt{3}}{2}$	$\frac{- 3 + 3 i \sqrt{3}}{2}$	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₂₆	6	6	6	6	6	-2	6	6	-2	6	6	-2	-2	-2	-2	-2	-3	1	1	1	-3	-3	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	6	6	6	-2	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	-2	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	-2	-2	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	6	6	6	-2	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	-2	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	-2	-2	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	-3	-3	-3	6	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	6	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	-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	0	0	0	0	0	0
χ₃₀	6	6	-3	-3	-3	6	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	6	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	-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	0	0	0	0	0	0
χ₃₁	6	6	-3	-3	-3	-2	6	6	-2	-3	-3	1	1	1	-2	-2	6	-2	-2	-2	-3	-3	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	6	-3	-3	-3	-2	6	6	-2	-3	-3	1	1	1	-2	-2	-3	1	1	1	6	-3	1	1	-2	-2	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	6	-3	-3	-3	-2	6	6	-2	-3	-3	1	1	1	-2	-2	-3	1	1	1	-3	6	1	1	1	1	1	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-3	-3	-3	-2	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	-2	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	1	1	1	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	4	$- 2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	-3	-3	-3	-2	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	-2	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	1	1	1	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	4	$- 2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-3	-3	-3	-2	$- 3 + 3 i \sqrt{3}$	$- 3 - 3 i \sqrt{3}$	-2	$\frac{3 - 3 i \sqrt{3}}{2}$	$\frac{3 + 3 i \sqrt{3}}{2}$	1	1	1	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	4	$- 2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	-3	-3	-3	-2	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	-2	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	1	1	1	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	4	$- 2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-3	-3	-3	-2	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	-2	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	1	1	1	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	4	$- 2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-3	-3	-3	-2	$- 3 - 3 i \sqrt{3}$	$- 3 + 3 i \sqrt{3}$	-2	$\frac{3 + 3 i \sqrt{3}}{2}$	$\frac{3 - 3 i \sqrt{3}}{2}$	1	1	1	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	4	$- 2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	-3	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	6	0	0	-3	0	0	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	-3	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	6	0	0	-3	0	0	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	-3	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	6	0	0	-3	0	0	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	-3	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	6	0	0	-3	0	0	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	-3	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	6	0	0	-3	0	0	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	-3	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	6	0	0	-3	0	0	3ζ⁶+3ζ²¹	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	-3	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	6	0	0	-3	0	0	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	-3	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	6	0	0	-3	0	0	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	-3	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	6	0	0	-3	0	0	3ζ¹²+3ζ¹⁵	3ζ³+3ζ²⁴	3ζ⁶+3ζ²¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁴+ζ⁵−2ζ¹³−ζ¹⁴	2ζ⁴−2ζ⁵+ζ¹³−ζ¹⁴	−ζ⁴+ζ⁵+ζ¹³+2ζ¹⁴	2ζ−2ζ⁸+ζ¹⁰−ζ¹⁷	−ζ+ζ⁸+ζ¹⁰+2ζ¹⁷	−ζ+ζ⁸−2ζ¹⁰−ζ¹⁷	−2ζ²+2ζ⁷−ζ¹¹+ζ¹⁶	ζ²−ζ⁷+2ζ¹¹+ζ¹⁶	ζ²−ζ⁷−ζ¹¹−2ζ¹⁶	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	18	-9	9ζ³+9ζ²⁴	9ζ⁶+9ζ²¹	9ζ¹²+9ζ¹⁵	-6	0	0	3	0	0	−3ζ³−3ζ²⁴	−3ζ⁶−3ζ²¹	−3ζ¹²−3ζ¹⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	18	-9	9ζ⁶+9ζ²¹	9ζ¹²+9ζ¹⁵	9ζ³+9ζ²⁴	-6	0	0	3	0	0	−3ζ⁶−3ζ²¹	−3ζ¹²−3ζ¹⁵	−3ζ³−3ζ²⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	18	-9	9ζ¹²+9ζ¹⁵	9ζ³+9ζ²⁴	9ζ⁶+9ζ²¹	-6	0	0	3	0	0	−3ζ¹²−3ζ¹⁵	−3ζ³−3ζ²⁴	−3ζ⁶−3ζ²¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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 #14516499