Group #569 — 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
size	1	1	2	2	2	4	4	1	1	2	2	2	4	4	1	1	2	2	2	4	4	1	1	2	2	2	4	4
order	1	2	4	8	8	2	2	2	2	4	8	8	2	2	2	2	4	8	8	2	2	2	2	4	8	8	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	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
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
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
χ₅	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0
χ₆	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₇	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
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	-1
χ₉	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₁₀	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1
χ₁₁	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1
χ₁₂	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0
χ₁₃	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₁₄	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₆	1	1	1	1	1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1
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
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
χ₁₉	2	2	-2	0	0	0	0	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0	-2	-2	2	0	0	0	0
χ₂₀	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₂	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1
χ₂₃	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1
χ₂₄	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	1	-1	-1	-1	1	1	-1	1	1	1	1	-1	-1	1	-1
χ₂₅	1	1	1	-1	-1	-1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	-1	1	1	1	-1	-1	-1	1
χ₂₆	2	2	-2	0	0	0	0	-2	-2	2	0	0	0	0	-2	-2	2	0	0	0	0	2	2	-2	0	0	0	0
χ₂₇	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₈	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0

Character table — Group #569