Group #4914 — 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
size	1	1	2	2	2	2	2	4	4	4	4	4	4	4	4	4	6	6	8	8	12	12	12	16	16	24	24
order	1	2	3	4	6	8	8	12	16	16	24	24	48	48	48	48	2	4	2	4	8	16	16	6	12	2	2
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
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
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
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
χ₅	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	-1	1	-1	-1	1	-1	1	-1
χ₆	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	-1	1	1	-1	-1	-1	1	-1	1
χ₇	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	1	1	-1	-1	1
χ₈	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	1	-1	1	1	-1	1	1	-1
χ₉	2	2	2	2	2	-2	-2	2	0	0	-2	-2	0	0	0	0	2	2	0	0	-2	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	-2	-2	2	0	0	-2	-2	0	0	0	0	-2	-2	0	0	2	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₂	2	2	2	-2	2	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₃	2	2	2	-2	2	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₄	2	2	2	-2	2	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₅	2	2	-1	2	-1	2	2	-1	2	2	-1	-1	-1	-1	-1	-1	0	0	2	2	0	0	0	-1	-1	0	0
χ₁₆	2	2	-1	2	-1	2	2	-1	2	2	-1	-1	-1	-1	-1	-1	0	0	-2	-2	0	0	0	1	1	0	0
χ₁₇	2	2	-1	2	-1	2	2	-1	-2	-2	-1	-1	1	1	1	1	0	0	2	-2	0	0	0	-1	1	0	0
χ₁₈	2	2	-1	2	-1	2	2	-1	-2	-2	-1	-1	1	1	1	1	0	0	-2	2	0	0	0	1	-1	0	0
χ₁₉	4	4	-2	4	-2	-4	-4	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	-2	-4	-2	0	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	-2	-4	-2	0	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	-4	4	0	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	-4	4	0	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #4914