Group #85501 — 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	C₄₄	C₄₅	C₄₆
size	1	1	1	1	2	2	6	6	8	8	8	8	8	8	8	8	12	12	12	12	12	24	24	1	1	1	1	2	2	6	6	8	8	8	8	8	8	8	8	12	12	12	12	12	24	24
order	1	2	2	2	2	2	4	4	3	6	6	6	6	6	6	6	4	8	8	8	8	4	4	2	2	2	2	2	2	4	4	6	6	6	6	6	6	6	6	4	8	8	8	8	4	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	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	-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	-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	1	-1	1
χ₅	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0	0	0	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0	0	0
χ₆	2	2	2	2	-2	-2	2	2	-1	-1	-1	-1	1	1	1	1	-2	0	0	0	0	0	0	2	2	2	2	-2	-2	2	2	-1	-1	-1	-1	1	1	1	1	-2	0	0	0	0	0	0
χ₇	2	2	-2	-2	2	-2	0	0	-1	1	1	-1	1	1	-1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	2	-2	-2	2	-2	0	0	-1	1	1	-1	1	1	-1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₈	2	2	-2	-2	2	-2	0	0	-1	1	1	-1	1	1	-1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	2	-2	-2	2	-2	0	0	-1	1	1	-1	1	1	-1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₉	2	2	-2	-2	-2	2	0	0	-1	1	1	-1	-1	-1	1	1	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	2	-2	-2	-2	2	0	0	-1	1	1	-1	-1	-1	1	1	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₁₀	2	2	-2	-2	-2	2	0	0	-1	1	1	-1	-1	-1	1	1	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	2	-2	-2	-2	2	0	0	-1	1	1	-1	-1	-1	1	1	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₁	2	-2	-2	2	0	0	2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	-2	-2	2	0	0	2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₁₂	2	-2	-2	2	0	0	2	-2	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	2	-2	-2	2	0	0	2	-2	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₁₃	2	-2	-2	2	0	0	2	-2	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	2	-2	-2	2	0	0	2	-2	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₁₄	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	1	1	-1	-1	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	1	1	-1	-1
χ₁₅	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1
χ₁₆	3	3	3	3	-3	-3	-1	-1	0	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	1	3	3	3	3	-3	-3	-1	-1	0	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	1
χ₁₇	3	3	3	3	-3	-3	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1	1	1	-1	3	3	3	3	-3	-3	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1	1	1	-1
χ₁₈	4	4	-4	-4	4	-4	0	0	1	-1	-1	1	-1	-1	1	1	0	0	0	0	0	0	0	4	4	-4	-4	4	-4	0	0	1	-1	-1	1	-1	-1	1	1	0	0	0	0	0	0	0
χ₁₉	4	4	-4	-4	-4	4	0	0	1	-1	-1	1	1	1	-1	-1	0	0	0	0	0	0	0	4	4	-4	-4	-4	4	0	0	1	-1	-1	1	1	1	-1	-1	0	0	0	0	0	0	0
χ₂₀	4	-4	4	-4	0	0	0	0	1	-1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	4	-4	4	-4	0	0	0	0	1	-1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₂₁	4	-4	4	-4	0	0	0	0	1	-1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	4	-4	4	-4	0	0	0	0	1	-1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₂₂	4	-4	4	-4	0	0	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	0	0	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	6	-6	-6	6	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	-6	6	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
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	-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	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1
χ₂₆	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	-1	-1	1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	1	1	-1	1
χ₂₇	1	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	-1
χ₂₈	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	0	0	0	0	0	0
χ₂₉	2	2	2	2	-2	-2	2	2	-1	-1	-1	-1	1	1	1	1	-2	0	0	0	0	0	0	-2	-2	-2	-2	2	2	-2	-2	1	1	1	1	-1	-1	-1	-1	2	0	0	0	0	0	0
χ₃₀	2	2	-2	-2	2	-2	0	0	-1	1	1	-1	1	1	-1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	-2	2	2	-2	2	0	0	1	-1	-1	1	-1	-1	1	1	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₃₁	2	2	-2	-2	2	-2	0	0	-1	1	1	-1	1	1	-1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	-2	2	2	-2	2	0	0	1	-1	-1	1	-1	-1	1	1	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₃₂	2	2	-2	-2	-2	2	0	0	-1	1	1	-1	-1	-1	1	1	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	-2	-2	2	2	2	-2	0	0	1	-1	-1	1	1	1	-1	-1	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₃₃	2	2	-2	-2	-2	2	0	0	-1	1	1	-1	-1	-1	1	1	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	-2	-2	2	2	2	-2	0	0	1	-1	-1	1	1	1	-1	-1	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₃₄	2	-2	-2	2	0	0	2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	0	0	-2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	2	-2	-2	2	0	0	2	-2	-1	-1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	-2	2	2	-2	0	0	-2	2	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₆	2	-2	-2	2	0	0	2	-2	-1	-1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	-2	2	2	-2	0	0	-2	2	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₇	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	1	1	-1	-1	-3	-3	-3	-3	-3	-3	1	1	0	0	0	0	0	0	0	0	1	-1	-1	-1	-1	1	1
χ₃₈	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	-3	-3	-3	-3	-3	-3	1	1	0	0	0	0	0	0	0	0	1	1	1	1	1	-1	-1
χ₃₉	3	3	3	3	-3	-3	-1	-1	0	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	1	-3	-3	-3	-3	3	3	1	1	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	1	-1
χ₄₀	3	3	3	3	-3	-3	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	1	1	1	-1	-3	-3	-3	-3	3	3	1	1	0	0	0	0	0	0	0	0	-1	1	1	-1	-1	-1	1
χ₄₁	4	4	-4	-4	4	-4	0	0	1	-1	-1	1	-1	-1	1	1	0	0	0	0	0	0	0	-4	-4	4	4	-4	4	0	0	-1	1	1	-1	1	1	-1	-1	0	0	0	0	0	0	0
χ₄₂	4	4	-4	-4	-4	4	0	0	1	-1	-1	1	1	1	-1	-1	0	0	0	0	0	0	0	-4	-4	4	4	4	-4	0	0	-1	1	1	-1	-1	-1	1	1	0	0	0	0	0	0	0
χ₄₃	4	-4	4	-4	0	0	0	0	1	-1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	-4	4	-4	4	0	0	0	0	-1	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₄₄	4	-4	4	-4	0	0	0	0	1	-1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	-4	4	-4	4	0	0	0	0	-1	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₄₅	4	-4	4	-4	0	0	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	0	0	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	-6	-6	6	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	6	-6	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #85501