Group #13094201 — 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	1	2	2	6	6	6	6	12	12	12	12	12	12	12	12	14	14	14	18	21	21	21	21	42	42	42	42	42	42	42	42	42	42	42	42	54	54	126	126	126	126	126
order	1	2	3	6	7	9	14	18	21	42	63	63	63	126	126	126	4	12	12	4	3	3	6	6	9	9	12	12	18	18	36	36	36	36	36	36	28	28	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	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	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	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₇	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
χ₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₀	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
χ₁₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₃	2	2	2	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	0	2	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0
χ₁₅	2	2	2	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0
χ₁₆	2	2	2	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	0	2	2	2	2	-1	-1	-2	-2	-1	-1	1	1	1	1	1	1	0	0	0	0	0	0	0
χ₁₇	2	2	2	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0
χ₁₉	2	-2	2	-2	2	2	-2	-2	2	-2	2	2	2	-2	-2	-2	0	0	0	0	2	2	-2	-2	2	2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	-2	2	-2	2	2	-2	-2	2	-2	2	2	2	-2	-2	-2	0	0	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	-2	2	-2	2	2	-2	-2	2	-2	2	2	2	-2	-2	-2	0	0	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	-2	2	-2	2	-1	-2	1	2	-2	-1	-1	-1	1	1	1	0	0	0	0	2	2	-2	-2	-1	-1	0	0	1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₂₃	2	-2	2	-2	2	-1	-2	1	2	-2	-1	-1	-1	1	1	1	0	0	0	0	2	2	-2	-2	-1	-1	0	0	1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₂₄	2	-2	2	-2	2	-1	-2	1	2	-2	-1	-1	-1	1	1	1	0	0	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\sqrt{3}$	$- \sqrt{3}$	−2ζ³−ζ¹⁵−2ζ³⁹−ζ⁵¹−2ζ⁷⁵−ζ⁸⁷−2ζ¹¹¹−ζ¹²³−ζ¹⁵⁹−2ζ¹⁸³−ζ¹⁹⁵−2ζ²¹⁹	2ζ³+ζ¹⁵+2ζ³⁹+ζ⁵¹+2ζ⁷⁵+ζ⁸⁷+2ζ¹¹¹+ζ¹²³+ζ¹⁵⁹+2ζ¹⁸³+ζ¹⁹⁵+2ζ²¹⁹	ζ³+2ζ¹⁵+ζ³⁹+2ζ⁵¹+ζ⁷⁵+2ζ⁸⁷+ζ¹¹¹+2ζ¹²³+2ζ¹⁵⁹+ζ¹⁸³+2ζ¹⁹⁵+ζ²¹⁹	−ζ³−2ζ¹⁵−ζ³⁹−2ζ⁵¹−ζ⁷⁵−2ζ⁸⁷−ζ¹¹¹−2ζ¹²³−2ζ¹⁵⁹−ζ¹⁸³−2ζ¹⁹⁵−ζ²¹⁹	0	0	0	0	0	0	0
χ₂₅	2	-2	2	-2	2	-1	-2	1	2	-2	-1	-1	-1	1	1	1	0	0	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$- \sqrt{3}$	$\sqrt{3}$	2ζ³+ζ¹⁵+2ζ³⁹+ζ⁵¹+2ζ⁷⁵+ζ⁸⁷+2ζ¹¹¹+ζ¹²³+ζ¹⁵⁹+2ζ¹⁸³+ζ¹⁹⁵+2ζ²¹⁹	−2ζ³−ζ¹⁵−2ζ³⁹−ζ⁵¹−2ζ⁷⁵−ζ⁸⁷−2ζ¹¹¹−ζ¹²³−ζ¹⁵⁹−2ζ¹⁸³−ζ¹⁹⁵−2ζ²¹⁹	−ζ³−2ζ¹⁵−ζ³⁹−2ζ⁵¹−ζ⁷⁵−2ζ⁸⁷−ζ¹¹¹−2ζ¹²³−2ζ¹⁵⁹−ζ¹⁸³−2ζ¹⁹⁵−ζ²¹⁹	ζ³+2ζ¹⁵+ζ³⁹+2ζ⁵¹+ζ⁷⁵+2ζ⁸⁷+ζ¹¹¹+2ζ¹²³+2ζ¹⁵⁹+ζ¹⁸³+2ζ¹⁹⁵+ζ²¹⁹	0	0	0	0	0	0	0
χ₂₆	2	-2	2	-2	2	-1	-2	1	2	-2	-1	-1	-1	1	1	1	0	0	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ³+2ζ¹⁵+ζ³⁹+2ζ⁵¹+ζ⁷⁵+2ζ⁸⁷+ζ¹¹¹+2ζ¹²³+2ζ¹⁵⁹+ζ¹⁸³+2ζ¹⁹⁵+ζ²¹⁹	−ζ³−2ζ¹⁵−ζ³⁹−2ζ⁵¹−ζ⁷⁵−2ζ⁸⁷−ζ¹¹¹−2ζ¹²³−2ζ¹⁵⁹−ζ¹⁸³−2ζ¹⁹⁵−ζ²¹⁹	−2ζ³−ζ¹⁵−2ζ³⁹−ζ⁵¹−2ζ⁷⁵−ζ⁸⁷−2ζ¹¹¹−ζ¹²³−ζ¹⁵⁹−2ζ¹⁸³−ζ¹⁹⁵−2ζ²¹⁹	2ζ³+ζ¹⁵+2ζ³⁹+ζ⁵¹+2ζ⁷⁵+ζ⁸⁷+2ζ¹¹¹+ζ¹²³+ζ¹⁵⁹+2ζ¹⁸³+ζ¹⁹⁵+2ζ²¹⁹	0	0	0	0	0	0	0
χ₂₇	2	-2	2	-2	2	-1	-2	1	2	-2	-1	-1	-1	1	1	1	0	0	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ³−2ζ¹⁵−ζ³⁹−2ζ⁵¹−ζ⁷⁵−2ζ⁸⁷−ζ¹¹¹−2ζ¹²³−2ζ¹⁵⁹−ζ¹⁸³−2ζ¹⁹⁵−ζ²¹⁹	ζ³+2ζ¹⁵+ζ³⁹+2ζ⁵¹+ζ⁷⁵+2ζ⁸⁷+ζ¹¹¹+2ζ¹²³+2ζ¹⁵⁹+ζ¹⁸³+2ζ¹⁹⁵+ζ²¹⁹	2ζ³+ζ¹⁵+2ζ³⁹+ζ⁵¹+2ζ⁷⁵+ζ⁸⁷+2ζ¹¹¹+ζ¹²³+ζ¹⁵⁹+2ζ¹⁸³+ζ¹⁹⁵+2ζ²¹⁹	−2ζ³−ζ¹⁵−2ζ³⁹−ζ⁵¹−2ζ⁷⁵−ζ⁸⁷−2ζ¹¹¹−ζ¹²³−ζ¹⁵⁹−2ζ¹⁸³−ζ¹⁹⁵−2ζ²¹⁹	0	0	0	0	0	0	0
χ₂₈	6	6	6	6	-1	6	-1	6	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0
χ₂₉	6	6	6	6	-1	6	-1	6	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0
χ₃₀	6	6	-3	-3	6	0	6	0	-3	-3	0	0	0	0	0	0	6	-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
χ₃₁	6	6	-3	-3	6	0	6	0	-3	-3	0	0	0	0	0	0	-6	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
χ₃₂	6	-6	6	-6	-1	6	1	-6	-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	$\sqrt{7}$	$- \sqrt{7}$	0	0	0	0	0
χ₃₃	6	-6	6	-6	-1	6	1	-6	-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	$- \sqrt{7}$	$\sqrt{7}$	0	0	0	0	0
χ₃₄	6	-6	-3	3	6	0	-6	0	-3	3	0	0	0	0	0	0	0	$3 \sqrt{3}$	$- 3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	-6	-3	3	6	0	-6	0	-3	3	0	0	0	0	0	0	0	$- 3 \sqrt{3}$	$3 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	12	12	12	-2	-6	-2	-6	-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	0	0	0	0	0	0
χ₃₇	12	12	-6	-6	-2	0	-2	0	1	1	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	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
χ₃₈	12	12	-6	-6	-2	0	-2	0	1	1	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	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
χ₃₉	12	12	-6	-6	-2	0	-2	0	1	1	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	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
χ₄₀	12	-12	12	-12	-2	-6	2	6	-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	0	0	0	0	0	0
χ₄₁	12	-12	-6	6	-2	0	2	0	1	-1	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	ζ³⁴−ζ⁵⁰+ζ⁵⁸−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹³⁰−ζ¹³⁴+ζ¹⁶⁶−ζ¹⁷⁸+ζ¹⁹⁴+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²	ζ²²+ζ²⁶+ζ⁵⁰−ζ⁵⁸−ζ¹²²−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶+ζ¹⁷⁰+ζ¹⁷⁸+ζ²⁰²−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²−ζ²⁵⁰	−ζ²²−ζ²⁶−ζ³⁴+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹²²+ζ¹³⁰+ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁷⁰−ζ¹⁹⁴−ζ²⁰²+ζ²⁵⁰	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
χ₄₂	12	-12	-6	6	-2	0	2	0	1	-1	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	ζ²²+ζ²⁶+ζ⁵⁰−ζ⁵⁸−ζ¹²²−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶+ζ¹⁷⁰+ζ¹⁷⁸+ζ²⁰²−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²−ζ²⁵⁰	−ζ²²−ζ²⁶−ζ³⁴+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹²²+ζ¹³⁰+ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁷⁰−ζ¹⁹⁴−ζ²⁰²+ζ²⁵⁰	ζ³⁴−ζ⁵⁰+ζ⁵⁸−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹³⁰−ζ¹³⁴+ζ¹⁶⁶−ζ¹⁷⁸+ζ¹⁹⁴+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²	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
χ₄₃	12	-12	-6	6	-2	0	2	0	1	-1	ζ²²+ζ²⁶+ζ³⁴−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹²²−ζ¹³⁰−ζ¹³⁴−ζ¹⁴²−ζ¹⁵⁸+ζ¹⁷⁰+ζ¹⁹⁴+ζ²⁰²−ζ²⁵⁰	−ζ³⁴+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹³⁰+ζ¹³⁴−ζ¹⁶⁶+ζ¹⁷⁸−ζ¹⁹⁴−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²	−ζ²²−ζ²⁶−ζ⁵⁰+ζ⁵⁸+ζ¹²²+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁶⁶−ζ¹⁷⁰−ζ¹⁷⁸−ζ²⁰²+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²+ζ²⁵⁰	−ζ²²−ζ²⁶−ζ³⁴+ζ⁶²−ζ⁸⁶+ζ⁹⁴−ζ¹⁰⁶+ζ¹²²+ζ¹³⁰+ζ¹³⁴+ζ¹⁴²+ζ¹⁵⁸−ζ¹⁷⁰−ζ¹⁹⁴−ζ²⁰²+ζ²⁵⁰	ζ³⁴−ζ⁵⁰+ζ⁵⁸−ζ⁶²+ζ⁸⁶−ζ⁹⁴+ζ¹⁰⁶−ζ¹³⁰−ζ¹³⁴+ζ¹⁶⁶−ζ¹⁷⁸+ζ¹⁹⁴+ζ²⁰⁶−ζ²¹⁴−ζ²³⁰+ζ²⁴²	ζ²²+ζ²⁶+ζ⁵⁰−ζ⁵⁸−ζ¹²²−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁶⁶+ζ¹⁷⁰+ζ¹⁷⁸+ζ²⁰²−ζ²⁰⁶+ζ²¹⁴+ζ²³⁰−ζ²⁴²−ζ²⁵⁰	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 #13094201