Group #88587 — 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
size	1	1	2	2	12	12	12	12	18	18	18	18	18	18	18	18	18	36	36	36	36	36	36
order	1	2	3	6	3	3	6	6	4	8	8	12	12	24	24	24	24	2	4	6	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
χ₂	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
χ₄	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	-2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₆	2	-2	2	-2	2	2	-2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0
χ₇	2	-2	2	-2	2	2	-2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0
χ₈	4	4	4	4	1	-2	-2	1	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1
χ₉	4	4	4	4	1	-2	-2	1	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1
χ₁₀	4	4	4	4	-2	1	1	-2	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0
χ₁₁	4	4	4	4	-2	1	1	-2	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0
χ₁₂	4	-4	4	-4	1	-2	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$
χ₁₃	4	-4	4	-4	1	-2	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$
χ₁₄	4	-4	4	-4	-2	1	-1	2	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₁₅	4	-4	4	-4	-2	1	-1	2	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₁₆	6	6	-3	-3	0	0	0	0	2	0	0	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0
χ₁₇	6	6	-3	-3	0	0	0	0	2	0	0	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0
χ₁₈	6	6	-3	-3	0	0	0	0	-2	2	2	1	1	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₉	6	6	-3	-3	0	0	0	0	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0
χ₂₀	6	-6	-3	3	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	0	0	0	0	0	0
χ₂₁	6	-6	-3	3	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	0	0	0	0	0	0
χ₂₂	6	-6	-3	3	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ⁵+ζ⁷	ζ¹³+ζ²³	0	0	0	0	0	0
χ₂₃	6	-6	-3	3	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ¹³+ζ²³	ζ⁵+ζ⁷	0	0	0	0	0	0

Character table — Group #88587