Group #11921869 — 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
size	1	1	2	2	2	3	3	4	6	6	6	6	6	8	8	8	8	12	16	16	16	16	18	18	24	24	24	24	24	24	24	24	24	24	72	72	1	1	2	2	2	3	3	4	6	6	6	6	6	8	8	8	8	12	16	16	16	16	18	18	24	24	24	24	24	24	24	24	24	24	72	72
order	1	2	3	4	6	2	2	12	4	6	6	8	8	3	6	12	12	12	3	6	12	12	8	8	2	4	6	6	12	12	24	24	24	24	2	4	2	2	6	4	6	2	2	12	4	6	6	8	8	6	6	12	12	12	6	6	12	12	8	8	2	4	6	6	12	12	24	24	24	24	2	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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	0	0	0	0	0	0	-1	-1	-1	-1	0	0	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	0	0	0	0	0	0	-1	-1	-1	-1	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	1	1	1	1	0	0	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	1	1	1	1	0	0
χ₇	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	2	2	-2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	2	2	-2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	-1	-1	1	1	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	-1	-1	1	1	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0
χ₉	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	-1	-1	1	1	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	-1	-1	1	1	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0
χ₁₀	2	2	-1	2	-1	2	2	-1	2	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	0	0	2	2	-1	-1	-1	-1	0	0	0	0	0	0	2	2	-1	2	-1	2	2	-1	2	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	0	0	2	2	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₁	2	2	-1	2	-1	2	2	-1	2	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	0	0	-2	-2	1	1	1	1	0	0	0	0	0	0	2	2	-1	2	-1	2	2	-1	2	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	0	0	-2	-2	1	1	1	1	0	0	0	0	0	0
χ₁₂	2	2	-1	-2	-1	2	2	1	-2	-1	-1	0	0	2	2	-2	-2	1	-1	-1	1	1	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	2	2	-1	-2	-1	2	2	1	-2	-1	-1	0	0	2	2	-2	-2	1	-1	-1	1	1	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₁₃	2	2	-1	-2	-1	2	2	1	-2	-1	-1	0	0	2	2	-2	-2	1	-1	-1	1	1	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	2	2	-1	-2	-1	2	2	1	-2	-1	-1	0	0	2	2	-2	-2	1	-1	-1	1	1	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₁₄	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	0	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	0	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₅	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0
χ₁₆	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0
χ₁₇	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	0	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	0	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₁₈	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0
χ₁₉	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0
χ₂₀	3	3	3	3	3	-1	-1	3	-1	-1	-1	3	3	0	0	0	0	-1	0	0	0	0	-1	-1	1	-1	1	1	-1	-1	0	0	0	0	1	-1	3	3	3	3	3	-1	-1	3	-1	-1	-1	3	3	0	0	0	0	-1	0	0	0	0	-1	-1	1	-1	1	1	-1	-1	0	0	0	0	1	-1
χ₂₁	3	3	3	3	3	-1	-1	3	-1	-1	-1	3	3	0	0	0	0	-1	0	0	0	0	-1	-1	-1	1	-1	-1	1	1	0	0	0	0	-1	1	3	3	3	3	3	-1	-1	3	-1	-1	-1	3	3	0	0	0	0	-1	0	0	0	0	-1	-1	-1	1	-1	-1	1	1	0	0	0	0	-1	1
χ₂₂	3	3	3	3	3	-1	-1	3	-1	-1	-1	-3	-3	0	0	0	0	-1	0	0	0	0	1	1	1	-1	1	1	-1	-1	0	0	0	0	-1	1	3	3	3	3	3	-1	-1	3	-1	-1	-1	-3	-3	0	0	0	0	-1	0	0	0	0	1	1	1	-1	1	1	-1	-1	0	0	0	0	-1	1
χ₂₃	3	3	3	3	3	-1	-1	3	-1	-1	-1	-3	-3	0	0	0	0	-1	0	0	0	0	1	1	-1	1	-1	-1	1	1	0	0	0	0	1	-1	3	3	3	3	3	-1	-1	3	-1	-1	-1	-3	-3	0	0	0	0	-1	0	0	0	0	1	1	-1	1	-1	-1	1	1	0	0	0	0	1	-1
χ₂₄	4	4	-2	4	-2	4	4	-2	4	-2	-2	0	0	-2	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-2	4	-2	4	4	-2	4	-2	-2	0	0	-2	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	-2	-4	-2	4	4	2	-4	-2	-2	0	0	-2	-2	2	2	2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-2	-4	-2	4	4	2	-4	-2	-2	0	0	-2	-2	2	2	2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	4	-4	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	4	-4	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	6	-6	6	-2	-2	-6	2	-2	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	6	-6	6	-2	-2	-6	2	-2	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	6	-3	6	-3	-2	-2	-3	-2	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	2	-2	-1	-1	1	1	0	0	0	0	0	0	6	6	-3	6	-3	-2	-2	-3	-2	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	2	-2	-1	-1	1	1	0	0	0	0	0	0
χ₃₁	6	6	-3	6	-3	-2	-2	-3	-2	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	-2	2	1	1	-1	-1	0	0	0	0	0	0	6	6	-3	6	-3	-2	-2	-3	-2	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	-2	2	1	1	-1	-1	0	0	0	0	0	0
χ₃₂	6	6	-3	-6	-3	-2	-2	3	2	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	6	6	-3	-6	-3	-2	-2	3	2	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₃₃	6	6	-3	-6	-3	-2	-2	3	2	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	6	6	-3	-6	-3	-2	-2	3	2	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₃₄	6	-6	6	0	-6	2	-2	0	0	2	-2	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	6	0	-6	2	-2	0	0	2	-2	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	-6	6	0	-6	2	-2	0	0	2	-2	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	6	0	-6	2	-2	0	0	2	-2	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	-12	-6	0	6	4	-4	0	0	-2	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	12	-12	-6	0	6	4	-4	0	0	-2	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
χ₃₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₃₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	1	1
χ₃₉	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1
χ₄₀	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1
χ₄₁	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	0	0	0	0	0	0	-1	-1	-1	-1	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	-2	1	1	1	1	-2	-2	0	0	0	0	0	0	1	1	1	1	0	0
χ₄₂	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-1	-1	-1	-1	2	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	1	1	1	1	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	1	1	1	1	-2	1	1	1	1	2	2	0	0	0	0	0	0	-1	-1	-1	-1	0	0
χ₄₃	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	2	2	-2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	-2	-2	-2	2	2	-2	-2	0	0	-2	-2	2	2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	-1	-1	1	1	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	-2	-2	-2	2	-2	-2	-2	2	2	-2	-2	0	0	1	1	-1	-1	2	1	1	-1	-1	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0
χ₄₅	2	2	2	-2	2	2	2	-2	-2	2	2	0	0	-1	-1	1	1	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	-2	-2	-2	2	-2	-2	-2	2	2	-2	-2	0	0	1	1	-1	-1	2	1	1	-1	-1	0	0	0	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0
χ₄₆	2	2	-1	2	-1	2	2	-1	2	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	0	0	2	2	-1	-1	-1	-1	0	0	0	0	0	0	-2	-2	1	-2	1	-2	-2	1	-2	1	1	0	0	-2	-2	-2	-2	1	1	1	1	1	0	0	-2	-2	1	1	1	1	0	0	0	0	0	0
χ₄₇	2	2	-1	2	-1	2	2	-1	2	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	-1	0	0	-2	-2	1	1	1	1	0	0	0	0	0	0	-2	-2	1	-2	1	-2	-2	1	-2	1	1	0	0	-2	-2	-2	-2	1	1	1	1	1	0	0	2	2	-1	-1	-1	-1	0	0	0	0	0	0
χ₄₈	2	2	-1	-2	-1	2	2	1	-2	-1	-1	0	0	2	2	-2	-2	1	-1	-1	1	1	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	-2	-2	1	2	1	-2	-2	-1	2	1	1	0	0	-2	-2	2	2	-1	1	1	-1	-1	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₄₉	2	2	-1	-2	-1	2	2	1	-2	-1	-1	0	0	2	2	-2	-2	1	-1	-1	1	1	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	-2	-2	1	2	1	-2	-2	-1	2	1	1	0	0	-2	-2	2	2	-1	1	1	-1	-1	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₅₀	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	0	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	2	-2	0	2	2	-2	0	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	0	0	-2	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₅₁	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	-2	2	-2	0	2	2	-2	0	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0
χ₅₂	2	-2	2	0	-2	-2	2	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0	-2	2	-2	0	2	2	-2	0	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0
χ₅₃	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	0	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	2	-2	0	2	2	-2	0	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	0	-2	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₅₄	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	-2	2	-2	0	2	2	-2	0	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0
χ₅₅	2	-2	2	0	-2	-2	2	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0	-2	2	-2	0	2	2	-2	0	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0
χ₅₆	3	3	3	3	3	-1	-1	3	-1	-1	-1	3	3	0	0	0	0	-1	0	0	0	0	-1	-1	1	-1	1	1	-1	-1	0	0	0	0	1	-1	-3	-3	-3	-3	-3	1	1	-3	1	1	1	-3	-3	0	0	0	0	1	0	0	0	0	1	1	-1	1	-1	-1	1	1	0	0	0	0	-1	1
χ₅₇	3	3	3	3	3	-1	-1	3	-1	-1	-1	3	3	0	0	0	0	-1	0	0	0	0	-1	-1	-1	1	-1	-1	1	1	0	0	0	0	-1	1	-3	-3	-3	-3	-3	1	1	-3	1	1	1	-3	-3	0	0	0	0	1	0	0	0	0	1	1	1	-1	1	1	-1	-1	0	0	0	0	1	-1
χ₅₈	3	3	3	3	3	-1	-1	3	-1	-1	-1	-3	-3	0	0	0	0	-1	0	0	0	0	1	1	1	-1	1	1	-1	-1	0	0	0	0	-1	1	-3	-3	-3	-3	-3	1	1	-3	1	1	1	3	3	0	0	0	0	1	0	0	0	0	-1	-1	-1	1	-1	-1	1	1	0	0	0	0	1	-1
χ₅₉	3	3	3	3	3	-1	-1	3	-1	-1	-1	-3	-3	0	0	0	0	-1	0	0	0	0	1	1	-1	1	-1	-1	1	1	0	0	0	0	1	-1	-3	-3	-3	-3	-3	1	1	-3	1	1	1	3	3	0	0	0	0	1	0	0	0	0	-1	-1	1	-1	1	1	-1	-1	0	0	0	0	-1	1
χ₆₀	4	4	-2	4	-2	4	4	-2	4	-2	-2	0	0	-2	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	2	-4	2	-4	-4	2	-4	2	2	0	0	2	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	4	4	-2	-4	-2	4	4	2	-4	-2	-2	0	0	-2	-2	2	2	2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	2	4	2	-4	-4	-2	4	2	2	0	0	2	2	-2	-2	-2	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	4	-4	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	2	0	-2	4	-4	0	0	-2	2	0	0	-4	4	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	2	0	-2	4	-4	0	0	-2	2	0	0	2	-2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	-4	-2	0	2	-4	4	0	0	2	-2	0	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	2	0	-2	4	-4	0	0	-2	2	0	0	2	-2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	6	6	6	-6	6	-2	-2	-6	2	-2	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	-6	6	-6	2	2	6	-2	2	2	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	6	6	-3	6	-3	-2	-2	-3	-2	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	2	-2	-1	-1	1	1	0	0	0	0	0	0	-6	-6	3	-6	3	2	2	3	2	-1	-1	0	0	0	0	0	0	-1	0	0	0	0	0	0	-2	2	1	1	-1	-1	0	0	0	0	0	0
χ₆₇	6	6	-3	6	-3	-2	-2	-3	-2	1	1	0	0	0	0	0	0	1	0	0	0	0	0	0	-2	2	1	1	-1	-1	0	0	0	0	0	0	-6	-6	3	-6	3	2	2	3	2	-1	-1	0	0	0	0	0	0	-1	0	0	0	0	0	0	2	-2	-1	-1	1	1	0	0	0	0	0	0
χ₆₈	6	6	-3	-6	-3	-2	-2	3	2	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	-6	-6	3	6	3	2	2	-3	-2	-1	-1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₆₉	6	6	-3	-6	-3	-2	-2	3	2	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	-6	-6	3	6	3	2	2	-3	-2	-1	-1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₇₀	6	-6	6	0	-6	2	-2	0	0	2	-2	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	-6	0	6	-2	2	0	0	-2	2	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	6	-6	6	0	-6	2	-2	0	0	2	-2	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	-6	0	6	-2	2	0	0	-2	2	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	12	-12	-6	0	6	4	-4	0	0	-2	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	-12	12	6	0	-6	-4	4	0	0	2	-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

Character table — Group #11921869