Group #72213294 — 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	3	3	6	12	12	12	12	24	24	24	24	32	32	48	48	48	48	96	96	96	96	96	96	96	96	96	96	96	96	96	128	128	128	128	128	128	128	128	192	192
order	1	2	4	2	2	4	4	4	4	4	8	8	8	8	8	8	2	2	8	8	4	4	4	4	4	16	16	16	16	16	16	16	16	3	6	12	12	24	24	24	24	8	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
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
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
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	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1	0	0
χ₇	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1
χ₈	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1
χ₉	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-3	-3	1	1	-1	-1	1	1	-1	1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	1	-1
χ₁₀	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-3	-3	1	1	-1	-1	1	-1	1	-1	1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	1
χ₁₁	4	4	-4	4	4	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0
χ₁₂	4	4	-4	4	4	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0
χ₁₃	4	4	-4	4	4	-4	-4	-4	4	4	0	0	0	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	0	0
χ₁₄	6	6	6	6	6	6	-2	-2	-2	-2	2	2	-2	-2	0	0	0	0	2	-2	0	0	2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2
χ₁₅	6	6	6	6	6	6	-2	-2	-2	-2	2	2	-2	-2	0	0	0	0	2	-2	0	0	-2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2
χ₁₆	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	-2	2	0	2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0
χ₁₇	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	-2	2	0	-2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0
χ₁₈	6	6	6	-2	-2	-2	2	-2	2	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 + 2 \sqrt{2}$	$2 - 2 \sqrt{2}$	0	0	0	0	0	-2	0	2	0	-2	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	6	6	6	-2	-2	-2	2	-2	2	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 + 2 \sqrt{2}$	$2 - 2 \sqrt{2}$	0	0	0	0	0	-2	0	-2	0	2	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	6	6	6	-2	-2	-2	2	-2	2	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 - 2 \sqrt{2}$	$2 + 2 \sqrt{2}$	0	0	0	0	0	-2	0	2	0	-2	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	6	6	6	-2	-2	-2	2	-2	2	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 - 2 \sqrt{2}$	$2 + 2 \sqrt{2}$	0	0	0	0	0	-2	0	-2	0	2	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	6	6	6	-2	-2	-2	-2	2	-2	2	$2 + 2 \sqrt{2}$	$2 - 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	-2	0	0	0	2	0	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₃	6	6	6	-2	-2	-2	-2	2	-2	2	$2 + 2 \sqrt{2}$	$2 - 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	-2	0	0	0	-2	0	2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	6	6	-2	-2	-2	-2	2	-2	2	$2 - 2 \sqrt{2}$	$2 + 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	-2	0	0	0	2	0	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	6	6	-2	-2	-2	-2	2	-2	2	$2 - 2 \sqrt{2}$	$2 + 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	-2	0	0	0	-2	0	2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	6	-6	6	6	-6	2	2	-2	-2	0	0	0	0	0	0	2	2	0	0	-2	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	-6	6	6	-6	2	2	-2	-2	0	0	0	0	0	0	2	2	0	0	-2	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	-6	6	6	-6	2	2	-2	-2	0	0	0	0	0	0	-2	-2	0	0	2	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	-6	6	6	-6	2	2	-2	-2	0	0	0	0	0	0	-2	-2	0	0	2	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0
χ₃₀	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₃₁	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0
χ₃₂	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ⁵−ζ⁷	−ζ⁵+ζ⁷	0	0
χ₃₃	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₃₄	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0
χ₃₅	8	-8	0	8	-8	0	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ⁵+ζ⁷	ζ⁵−ζ⁷	0	0
χ₃₆	12	12	12	-4	-4	-4	4	-4	4	-4	0	0	-4	-4	0	0	0	0	0	4	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	12	-4	-4	-4	-4	4	-4	4	-4	-4	0	0	0	0	0	0	4	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	-12	-4	-4	4	4	-4	-4	4	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	0	0	0	0	0	0
χ₃₉	12	12	-12	-4	-4	4	4	-4	-4	4	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	0	0	0	0	0	0
χ₄₀	12	12	-12	-4	-4	4	-4	4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	12	12	-12	-4	-4	4	-4	4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	24	-24	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	4	-4	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	24	-24	0	-8	8	0	0	0	0	0	0	0	0	0	0	0	-4	4	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 #72213294