Group #11714753 — 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	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄	C₈₅	C₈₆	C₈₇	C₈₈
size	1	1	2	2	2	3	3	6	6	6	8	8	8	8	8	8	8	8	24	24	24	24	1	1	2	2	2	3	3	6	6	6	8	8	8	8	8	8	8	8	24	24	24	24	1	1	2	2	2	3	3	6	6	6	8	8	8	8	8	8	8	8	24	24	24	24	1	1	2	2	2	3	3	6	6	6	8	8	8	8	8	8	8	8	24	24	24	24
order	1	2	4	8	8	2	2	4	8	8	3	6	12	12	24	24	24	24	2	2	4	4	2	2	4	8	8	2	2	4	8	8	6	6	12	12	24	24	24	24	2	2	4	4	2	2	4	8	8	2	2	4	8	8	6	6	12	12	24	24	24	24	2	2	4	4	2	2	4	8	8	2	2	4	8	8	6	6	12	12	24	24	24	24	2	2	4	4
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	1	1	1	1	1	1	1	1	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	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-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	1	-1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1
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	1	1	-1	-1	-1	-1	-1	1	-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	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0
χ₆	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0
χ₇	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0
χ₈	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₉	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₁₀	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₁	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0
χ₁₂	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0
χ₁₃	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₄	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0
χ₁₅	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0
χ₁₆	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1
χ₁₇	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₁₈	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1
χ₁₉	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1
χ₂₀	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
χ₂₅	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1
χ₂₆	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1
χ₂₇	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0
χ₂₈	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	-2	-2	-2	2	2	-2	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	0	0	0	0	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	-2	-2	-2	2	2	-2	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	0	0	0	0
χ₂₉	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0
χ₃₀	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₃₁	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₃₂	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₃₃	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0
χ₃₄	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0
χ₃₅	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₃₆	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0
χ₃₇	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0
χ₃₈	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	1	1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₃₉	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1
χ₄₀	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	-1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	-1
χ₄₁	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1
χ₄₂	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₄₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
χ₄₇	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1
χ₄₈	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1
χ₄₉	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0
χ₅₀	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	-2	-2	-2	2	2	-2	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	0	0	0	0	-2	-2	-2	2	2	-2	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	0	0	0	0
χ₅₁	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0
χ₅₂	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₅₃	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₅₄	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₅₅	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0
χ₅₆	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0
χ₅₇	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₅₈	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0
χ₅₉	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0
χ₆₀	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	1	1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₆₁	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1
χ₆₂	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	-1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	-1
χ₆₃	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1
χ₆₄	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₆₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1
χ₆₉	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1
χ₇₀	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	-1	-1	-1	1	1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	1
χ₇₁	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0
χ₇₂	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	-2	-2	-2	2	2	-2	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	0	0	0	0	-2	-2	-2	2	2	-2	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	0	0	0	0	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0
χ₇₃	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0
χ₇₄	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₇₅	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	-2	-2	2	0	0	-2	-2	2	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	2	2	-2	0	0	2	2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₇₆	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₇₇	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0
χ₇₈	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0
χ₇₉	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₈₀	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0
χ₈₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	0	0
χ₈₂	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	1	1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	1	1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	-1	-1
χ₈₃	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1	-3	-3	-3	-3	-3	1	1	1	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1	3	3	3	3	3	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₈₄	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	-1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	-1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	-1	1
χ₈₅	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1	-3	-3	-3	3	3	1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1	3	3	3	-3	-3	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1
χ₈₆	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₇	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₈	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11714753