Group #13062008 — 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
size	1	1	42	42	42	42	42	42	42	48	48	56	56	56	56	56	1	1	42	42	42	42	42	42	42	48	48	56	56	56	56	56
order	1	2	4	8	8	16	16	16	16	7	14	3	4	6	12	12	2	2	4	8	8	16	16	16	16	14	14	6	4	6	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
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
χ₃	6	6	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-1	-1	0	0	0	0	0	6	6	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-1	-1	0	0	0	0	0
χ₄	6	6	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-1	-1	0	0	0	0	0	6	6	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-1	-1	0	0	0	0	0
χ₅	6	6	-2	2	2	0	0	0	0	-1	-1	0	0	0	0	0	6	6	-2	2	2	0	0	0	0	-1	-1	0	0	0	0	0
χ₆	6	-6	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	-1	1	0	0	0	0	0	6	-6	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	-1	1	0	0	0	0	0
χ₇	6	-6	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	-1	1	0	0	0	0	0	6	-6	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	-1	1	0	0	0	0	0
χ₈	6	-6	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	-1	1	0	0	0	0	0	6	-6	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	-1	1	0	0	0	0	0
χ₉	6	-6	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	-1	1	0	0	0	0	0	6	-6	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	-1	1	0	0	0	0	0
χ₁₀	7	7	-1	-1	-1	1	1	1	1	0	0	1	-1	1	-1	-1	7	7	-1	-1	-1	1	1	1	1	0	0	1	-1	1	-1	-1
χ₁₁	7	7	-1	-1	-1	-1	-1	-1	-1	0	0	1	1	1	1	1	7	7	-1	-1	-1	-1	-1	-1	-1	0	0	1	1	1	1	1
χ₁₂	8	8	0	0	0	0	0	0	0	1	1	-1	2	-1	-1	-1	8	8	0	0	0	0	0	0	0	1	1	-1	2	-1	-1	-1
χ₁₃	8	8	0	0	0	0	0	0	0	1	1	-1	-2	-1	1	1	8	8	0	0	0	0	0	0	0	1	1	-1	-2	-1	1	1
χ₁₄	8	-8	0	0	0	0	0	0	0	1	-1	2	0	-2	0	0	8	-8	0	0	0	0	0	0	0	1	-1	2	0	-2	0	0
χ₁₅	8	-8	0	0	0	0	0	0	0	1	-1	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	8	-8	0	0	0	0	0	0	0	1	-1	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$
χ₁₆	8	-8	0	0	0	0	0	0	0	1	-1	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	8	-8	0	0	0	0	0	0	0	1	-1	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$
χ₁₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₈	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	-1	1	1
χ₁₉	6	6	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-1	-1	0	0	0	0	0	-6	-6	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	1	1	0	0	0	0	0
χ₂₀	6	6	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-1	-1	0	0	0	0	0	-6	-6	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	1	1	0	0	0	0	0
χ₂₁	6	6	-2	2	2	0	0	0	0	-1	-1	0	0	0	0	0	-6	-6	2	-2	-2	0	0	0	0	1	1	0	0	0	0	0
χ₂₂	6	-6	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	-1	1	0	0	0	0	0	-6	6	0	$- \sqrt{2}$	$\sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	1	-1	0	0	0	0	0
χ₂₃	6	-6	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	-1	1	0	0	0	0	0	-6	6	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	1	-1	0	0	0	0	0
χ₂₄	6	-6	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	-1	1	0	0	0	0	0	-6	6	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	1	-1	0	0	0	0	0
χ₂₅	6	-6	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	-1	1	0	0	0	0	0	-6	6	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	1	-1	0	0	0	0	0
χ₂₆	7	7	-1	-1	-1	1	1	1	1	0	0	1	-1	1	-1	-1	-7	-7	1	1	1	-1	-1	-1	-1	0	0	-1	1	-1	1	1
χ₂₇	7	7	-1	-1	-1	-1	-1	-1	-1	0	0	1	1	1	1	1	-7	-7	1	1	1	1	1	1	1	0	0	-1	-1	-1	-1	-1
χ₂₈	8	8	0	0	0	0	0	0	0	1	1	-1	2	-1	-1	-1	-8	-8	0	0	0	0	0	0	0	-1	-1	1	-2	1	1	1
χ₂₉	8	8	0	0	0	0	0	0	0	1	1	-1	-2	-1	1	1	-8	-8	0	0	0	0	0	0	0	-1	-1	1	2	1	-1	-1
χ₃₀	8	-8	0	0	0	0	0	0	0	1	-1	2	0	-2	0	0	-8	8	0	0	0	0	0	0	0	-1	1	-2	0	2	0	0
χ₃₁	8	-8	0	0	0	0	0	0	0	1	-1	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	-8	8	0	0	0	0	0	0	0	-1	1	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$
χ₃₂	8	-8	0	0	0	0	0	0	0	1	-1	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	-8	8	0	0	0	0	0	0	0	-1	1	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$

Character table — Group #13062008