Group #85488 — 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
size	1	1	2	3	3	4	6	8	8	12	12	12	12	12	16	16	16	24	24	1	1	2	3	3	4	6	8	8	12	12	12	12	12	16	16	16	24	24
order	1	2	4	2	2	2	4	3	6	2	8	8	8	8	6	6	12	2	4	2	2	4	2	2	2	4	6	6	2	8	8	8	8	6	6	12	2	4
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
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
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
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
χ₅	2	2	2	2	2	2	2	-1	-1	2	0	0	0	0	-1	-1	-1	0	0	2	2	2	2	2	2	2	-1	-1	2	0	0	0	0	-1	-1	-1	0	0
χ₆	2	2	2	2	2	-2	2	-1	-1	-2	0	0	0	0	1	1	-1	0	0	2	2	2	2	2	-2	2	-1	-1	-2	0	0	0	0	1	1	-1	0	0
χ₇	2	2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	0	2	2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	0
χ₈	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0
χ₉	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0
χ₁₀	2	-2	0	-2	2	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	2	-2	0	-2	2	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₁₁	2	-2	0	-2	2	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	2	-2	0	-2	2	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₂	3	3	3	-1	-1	3	-1	0	0	-1	1	1	-1	-1	0	0	0	1	-1	3	3	3	-1	-1	3	-1	0	0	-1	1	1	-1	-1	0	0	0	1	-1
χ₁₃	3	3	3	-1	-1	3	-1	0	0	-1	-1	-1	1	1	0	0	0	-1	1	3	3	3	-1	-1	3	-1	0	0	-1	-1	-1	1	1	0	0	0	-1	1
χ₁₄	3	3	3	-1	-1	-3	-1	0	0	1	1	1	-1	-1	0	0	0	-1	1	3	3	3	-1	-1	-3	-1	0	0	1	1	1	-1	-1	0	0	0	-1	1
χ₁₅	3	3	3	-1	-1	-3	-1	0	0	1	-1	-1	1	1	0	0	0	1	-1	3	3	3	-1	-1	-3	-1	0	0	1	-1	-1	1	1	0	0	0	1	-1
χ₁₆	4	-4	0	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	4	-4	0	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₁₇	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	6	-6	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	6	-6	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₉	6	-6	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	6	-6	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₂₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₁	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	1
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	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	1	1	1	1	1	1	1	-1	-1	-1
χ₂₄	2	2	2	2	2	2	2	-1	-1	2	0	0	0	0	-1	-1	-1	0	0	-2	-2	-2	-2	-2	-2	-2	1	1	-2	0	0	0	0	1	1	1	0	0
χ₂₅	2	2	2	2	2	-2	2	-1	-1	-2	0	0	0	0	1	1	-1	0	0	-2	-2	-2	-2	-2	2	-2	1	1	2	0	0	0	0	-1	-1	1	0	0
χ₂₆	2	2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	0	-2	-2	2	-2	-2	0	2	-2	-2	0	0	0	0	0	0	0	2	0	0
χ₂₇	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	-2	-2	2	-2	-2	0	2	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	0	0
χ₂₈	2	2	-2	2	2	0	-2	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	-2	-2	2	-2	-2	0	2	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	0	0
χ₂₉	2	-2	0	-2	2	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	-2	2	0	2	-2	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₃₀	2	-2	0	-2	2	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	-2	2	0	2	-2	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₃₁	3	3	3	-1	-1	3	-1	0	0	-1	1	1	-1	-1	0	0	0	1	-1	-3	-3	-3	1	1	-3	1	0	0	1	-1	-1	1	1	0	0	0	-1	1
χ₃₂	3	3	3	-1	-1	3	-1	0	0	-1	-1	-1	1	1	0	0	0	-1	1	-3	-3	-3	1	1	-3	1	0	0	1	1	1	-1	-1	0	0	0	1	-1
χ₃₃	3	3	3	-1	-1	-3	-1	0	0	1	1	1	-1	-1	0	0	0	-1	1	-3	-3	-3	1	1	3	1	0	0	-1	-1	-1	1	1	0	0	0	1	-1
χ₃₄	3	3	3	-1	-1	-3	-1	0	0	1	-1	-1	1	1	0	0	0	1	-1	-3	-3	-3	1	1	3	1	0	0	-1	1	1	-1	-1	0	0	0	-1	1
χ₃₅	4	-4	0	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	-4	4	0	4	-4	0	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-6	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	2	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	-6	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	-6	6	0	-2	2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₃₈	6	-6	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	-6	6	0	-2	2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0

Character table — Group #85488