Group #13146390 — 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
size	1	1	2	2	2	4	6	6	6	6	12	12	12	12	12	18	18	24	24	24	24	24	24	48	48	48	48	72	72	72	72	72	72	72	72	72	72	72	72	72	72	72	72	108
order	1	2	3	4	6	12	2	3	4	6	6	6	12	12	12	8	8	3	6	6	12	12	12	3	6	12	12	4	4	8	8	12	12	12	12	24	24	24	24	24	24	24	24	8
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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	2
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-1	2	-1	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	-2
χ₇	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	2	2	-1	-1	-1	-1	0	2	0	2	0	0	-1	-1	0	0	-1	-1	0	0	0	0	0
χ₈	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	2	-1	0	0	2	-1	2	-1	2	2	-1	-1	-1	-1	0	-2	0	-2	0	0	1	1	0	0	1	1	0	0	0	0	0
χ₉	2	2	2	-2	2	-2	-2	2	2	2	-2	-2	-2	2	2	0	0	2	-2	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
χ₁₀	2	2	2	-2	2	-2	-2	2	2	2	-2	-2	-2	2	2	0	0	-1	-2	-1	2	1	1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0
χ₁₁	2	2	2	-2	2	-2	-2	2	2	2	-2	-2	-2	2	2	0	0	-1	-2	-1	2	1	1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0
χ₁₂	2	2	2	-2	2	-2	-2	-1	2	-1	-2	1	1	2	-1	0	0	2	1	2	-1	-2	-2	-1	-1	1	1	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0
χ₁₃	2	2	2	-2	2	-2	-2	-1	2	-1	-2	1	1	2	-1	0	0	2	1	2	-1	-2	-2	-1	-1	1	1	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0
χ₁₄	3	3	3	3	3	3	-1	3	-1	3	-1	-1	3	-1	-1	3	3	0	-1	0	-1	0	0	0	0	0	0	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	-1
χ₁₅	3	3	3	3	3	3	-1	3	-1	3	-1	-1	3	-1	-1	3	3	0	-1	0	-1	0	0	0	0	0	0	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	-1
χ₁₆	3	3	3	3	3	3	-1	3	-1	3	-1	-1	3	-1	-1	-3	-3	0	-1	0	-1	0	0	0	0	0	0	1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	0	0	0	0	1
χ₁₇	3	3	3	3	3	3	-1	3	-1	3	-1	-1	3	-1	-1	-3	-3	0	-1	0	-1	0	0	0	0	0	0	-1	1	1	-1	-1	-1	1	1	1	1	-1	-1	0	0	0	0	1
χ₁₈	4	4	4	4	4	4	4	-2	4	-2	4	-2	-2	4	-2	0	0	-2	-2	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	4	4	4	-4	4	-4	-4	-2	4	-2	-4	2	2	4	-2	0	0	-2	2	-2	-2	2	2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	-4	4	0	-4	0	0	4	0	-4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	1	0	-1	0	$\sqrt{3}$	$- \sqrt{3}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0
χ₂₁	4	-4	4	0	-4	0	0	4	0	-4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	1	0	-1	0	$- \sqrt{3}$	$\sqrt{3}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0
χ₂₂	4	-4	4	0	-4	0	0	4	0	-4	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	0	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0
χ₂₃	4	-4	4	0	-4	0	0	4	0	-4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	1	0	-1	0	$\sqrt{3}$	$- \sqrt{3}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0
χ₂₄	4	-4	4	0	-4	0	0	4	0	-4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	1	0	-1	0	$- \sqrt{3}$	$\sqrt{3}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0
χ₂₅	4	-4	4	0	-4	0	0	4	0	-4	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	0	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0
χ₂₆	6	6	6	6	6	6	-2	-3	-2	-3	-2	1	-3	-2	1	0	0	0	1	0	1	0	0	0	0	0	0	0	2	0	-2	0	0	-1	-1	0	0	1	1	0	0	0	0	0
χ₂₇	6	6	6	6	6	6	-2	-3	-2	-3	-2	1	-3	-2	1	0	0	0	1	0	1	0	0	0	0	0	0	0	-2	0	2	0	0	1	1	0	0	-1	-1	0	0	0	0	0
χ₂₈	6	6	6	-6	6	-6	2	6	-2	6	2	2	-6	-2	-2	0	0	0	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	6	-6	6	-6	2	-3	-2	-3	2	-1	3	-2	1	0	0	0	-1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0
χ₃₀	6	6	6	-6	6	-6	2	-3	-2	-3	2	-1	3	-2	1	0	0	0	-1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0
χ₃₁	6	6	-3	6	-3	-3	6	0	6	0	-3	0	0	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	2	0	-1	-1	0	0	-1	-1	0	0	0	0	0	0	0
χ₃₂	6	6	-3	6	-3	-3	6	0	6	0	-3	0	0	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	-2	0	1	1	0	0	1	1	0	0	0	0	0	0	0
χ₃₃	6	6	-3	6	-3	-3	-2	0	-2	0	1	4	0	1	4	0	0	0	-2	0	-2	0	0	0	0	0	0	2	0	-2	0	-1	-1	0	0	1	1	0	0	0	0	0	0	0
χ₃₄	6	6	-3	6	-3	-3	-2	0	-2	0	1	4	0	1	4	0	0	0	-2	0	-2	0	0	0	0	0	0	-2	0	2	0	1	1	0	0	-1	-1	0	0	0	0	0	0	0
χ₃₅	6	6	-3	-6	-3	3	2	0	-2	0	-1	-4	0	1	4	0	0	0	2	0	-2	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₆	6	6	-3	-6	-3	3	2	0	-2	0	-1	-4	0	1	4	0	0	0	2	0	-2	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₇	6	6	-3	-6	-3	3	-6	0	6	0	3	0	0	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₈	6	6	-3	-6	-3	3	-6	0	6	0	3	0	0	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₉	8	-8	8	0	-8	0	0	-4	0	4	0	0	0	0	0	0	0	2	0	-2	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	8	0	-8	0	0	-4	0	4	0	0	0	0	0	0	0	2	0	-2	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	-8	8	0	-8	0	0	-4	0	4	0	0	0	0	0	0	0	-4	0	4	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	12	12	-6	12	-6	-6	-4	0	-4	0	2	-4	0	2	-4	0	0	0	2	0	2	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	-12	-6	6	4	0	-4	0	-2	4	0	2	-4	0	0	0	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	24	-24	-12	0	12	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

Character table — Group #13146390