Group #13164646 — 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	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆
size	1	1	2	2	3	3	6	6	6	6	6	6	6	6	6	6	6	6	6	6	9	9	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	27	27	48	48	48	48	54	54	54	54	96	96	96	96	144	144	144	144
order	1	2	3	6	2	2	4	4	4	4	6	6	9	18	18	18	18	18	18	18	4	4	12	12	12	12	36	36	36	36	36	36	36	36	36	36	36	36	4	4	3	3	6	6	2	2	2	2	9	9	18	18	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	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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	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	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₄	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	1	-1	-1	-1	-1
χ₅	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₆	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₇	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	0	0	0	0	-1	-1	-1	-1	0	0	0	0
χ₈	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0
χ₁₀	2	-2	2	-2	2	-2	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	-1	-1	1	1	0	0	0	0	-1	-1	1	1	$i$	$- i$	$i$	$- i$
χ₁₁	2	-2	2	-2	2	-2	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	−ζ¹⁵	ζ¹⁵	−ζ³	ζ³
χ₁₂	2	-2	2	-2	2	-2	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	−ζ³	ζ³	−ζ¹⁵	ζ¹⁵
χ₁₃	2	-2	2	-2	2	-2	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	-1	-1	1	1	0	0	0	0	-1	-1	1	1	$- i$	$i$	$- i$	$i$
χ₁₄	2	-2	2	-2	2	-2	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁵	−ζ¹⁵	ζ³	−ζ³
χ₁₅	2	-2	2	-2	2	-2	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ³	−ζ³	ζ¹⁵	−ζ¹⁵
χ₁₆	3	3	3	3	3	3	-1	-1	-1	-1	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₇	3	3	3	3	3	3	-1	-1	-1	-1	3	3	3	3	3	3	3	3	3	3	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-3	-3	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₈	3	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	3	3	3	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	3	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₉	3	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-3	-3	3	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	-3	1	1	1	0	0	0	0	0	0	0	0
χ₂₀	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	3	3	-1	3	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	3	-1	-1	0	0	0	0	0	0	0	0
χ₂₁	3	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-3	-3	-1	3	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	1	-3	1	1	0	0	0	0	0	0	0	0
χ₂₂	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	3	-1	0	0	0	0	0	0	0	0
χ₂₃	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-3	-3	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	1	1	0	0	0	0	1	1	-3	1	0	0	0	0	0	0	0	0
χ₂₄	3	3	3	3	-1	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	0	0	0	0	-1	-1	-1	3	0	0	0	0	0	0	0	0
χ₂₅	3	3	3	3	-1	-1	-1	-1	-1	3	-1	-1	3	-1	-1	-1	-1	-1	-1	3	-3	-3	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	3	3	1	1	0	0	0	0	1	1	1	-3	0	0	0	0	0	0	0	0
χ₂₆	4	-4	4	-4	4	-4	0	0	0	0	4	-4	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	1	1	-1	-1	0	0	0	0
χ₂₇	4	-4	4	-4	4	-4	0	0	0	0	4	-4	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0
χ₂₈	4	-4	4	-4	4	-4	0	0	0	0	4	-4	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0
χ₂₉	6	6	6	6	6	6	-2	-2	-2	-2	6	6	-3	-3	-3	-3	-3	-3	-3	-3	0	0	-2	-2	-2	-2	1	1	1	1	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
χ₃₀	6	6	6	6	-2	-2	6	-2	-2	-2	-2	-2	-3	1	1	1	1	1	1	-3	0	0	6	-2	-2	-2	-3	-3	-3	1	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
χ₃₁	6	6	6	6	-2	-2	-2	6	-2	-2	-2	-2	-3	1	1	1	1	1	1	-3	0	0	-2	6	-2	-2	1	1	1	-3	-3	-3	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	6	6	6	-2	-2	-2	-2	6	-2	-2	-2	-3	1	1	1	1	1	1	-3	0	0	-2	-2	6	-2	1	1	1	1	1	1	-3	-3	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	6	6	6	-2	-2	-2	-2	-2	6	-2	-2	-3	1	1	1	1	1	1	-3	0	0	-2	-2	-2	6	1	1	1	1	1	1	1	1	1	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-3	-3	6	6	6	6	6	6	-3	-3	0	0	0	0	0	0	0	0	0	0	-3	-3	-3	-3	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
χ₃₅	6	6	-3	-3	6	6	-2	-2	-2	-2	-3	-3	0	0	0	0	0	0	0	0	0	0	1	1	1	1	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-3	-3	6	6	-2	-2	-2	-2	-3	-3	0	0	0	0	0	0	0	0	0	0	1	1	1	1	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	-3	-3	6	6	-2	-2	-2	-2	-3	-3	0	0	0	0	0	0	0	0	0	0	1	1	1	1	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-3	-3	-2	-2	6	-2	-2	-2	1	1	0	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	-3	1	1	1	0	0	0	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-3	-3	-2	-2	6	-2	-2	-2	1	1	0	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	-3	1	1	1	0	0	0	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	-3	-3	-2	-2	6	-2	-2	-2	1	1	0	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	-3	1	1	1	0	0	0	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	6	-3	-3	-2	-2	-2	6	-2	-2	1	1	0	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	1	-3	1	1	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	6	-3	-3	-2	-2	-2	6	-2	-2	1	1	0	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	1	-3	1	1	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	-3	-3	-2	-2	-2	6	-2	-2	1	1	0	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	1	-3	1	1	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	-3	-3	-2	-2	-2	-2	6	-2	1	1	0	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	1	1	-3	1	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	6	-3	-3	-2	-2	-2	-2	6	-2	1	1	0	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	1	1	-3	1	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	6	-3	-3	-2	-2	-2	-2	6	-2	1	1	0	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	1	1	-3	1	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	6	-3	-3	-2	-2	-2	-2	-2	6	1	1	0	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	1	1	1	-3	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	6	-3	-3	-2	-2	-2	-2	-2	6	1	1	0	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	1	1	1	-3	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	6	6	-3	-3	-2	-2	-2	-2	-2	6	1	1	0	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	1	1	1	-3	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	6	-6	6	-6	-2	2	0	0	0	0	-2	2	6	-2	-2	-2	2	2	2	-6	$6 i$	$- 6 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	6	-6	6	-6	-2	2	0	0	0	0	-2	2	6	-2	-2	-2	2	2	2	-6	$- 6 i$	$6 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	12	-12	12	-12	-4	4	0	0	0	0	-4	4	-6	2	2	2	-2	-2	-2	6	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
χ₅₃	12	-12	-6	6	12	-12	0	0	0	0	-6	6	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	0	0	0	0	0	0	0
χ₅₄	12	-12	-6	6	-4	4	0	0	0	0	2	-2	0	4ζ²²−4ζ²⁶+4ζ³⁴	−4ζ¹⁴−4ζ²²	4ζ¹⁴+4ζ²⁶−4ζ³⁴	−4ζ²²+4ζ²⁶−4ζ³⁴	4ζ¹⁴+4ζ²²	−4ζ¹⁴−4ζ²⁶+4ζ³⁴	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
χ₅₅	12	-12	-6	6	-4	4	0	0	0	0	2	-2	0	−4ζ¹⁴−4ζ²²	4ζ¹⁴+4ζ²⁶−4ζ³⁴	4ζ²²−4ζ²⁶+4ζ³⁴	4ζ¹⁴+4ζ²²	−4ζ¹⁴−4ζ²⁶+4ζ³⁴	−4ζ²²+4ζ²⁶−4ζ³⁴	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
χ₅₆	12	-12	-6	6	-4	4	0	0	0	0	2	-2	0	4ζ¹⁴+4ζ²⁶−4ζ³⁴	4ζ²²−4ζ²⁶+4ζ³⁴	−4ζ¹⁴−4ζ²²	−4ζ¹⁴−4ζ²⁶+4ζ³⁴	−4ζ²²+4ζ²⁶−4ζ³⁴	4ζ¹⁴+4ζ²²	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 #13164646