Group #72341662 — 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	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄
size	1	1	2	3	3	6	6	6	6	6	8	8	12	12	24	24	32	32	32	32	32	32	32	32	48	48	48	48	48	48	48	48	1	1	2	3	3	6	6	6	6	6	8	8	12	12	24	24	32	32	32	32	32	32	32	32	48	48	48	48	48	48	48	48
order	1	2	4	2	2	2	2	2	2	4	8	8	4	4	8	8	3	6	12	12	24	24	24	24	2	4	4	4	4	4	4	4	2	2	4	2	2	2	2	2	2	4	8	8	4	4	8	8	6	6	12	12	24	24	24	24	2	4	4	4	4	4	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	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	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	-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	-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	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	2	2	2	2	2	2	2	2	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0
χ₇	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₈	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₉	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₀	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₁	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	0	0	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	0	0
χ₁₂	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	0	0	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	0	0
χ₁₃	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₄	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	0	0	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	0	0
χ₁₅	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0
χ₁₆	3	3	3	3	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1	3	3	3	3	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₁₇	3	3	3	3	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1	3	3	3	3	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₁₈	3	3	3	3	3	-1	-1	-1	-1	3	-3	-3	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	1	1	3	3	3	3	3	-1	-1	-1	-1	3	-3	-3	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	1	1
χ₁₉	3	3	3	3	3	-1	-1	-1	-1	3	-3	-3	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1	3	3	3	3	3	-1	-1	-1	-1	3	-3	-3	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1
χ₂₀	6	6	6	-2	-2	2	-2	-2	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	6	6	6	-2	-2	2	-2	-2	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0
χ₂₁	6	6	6	-2	-2	2	-2	-2	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	6	6	6	-2	-2	2	-2	-2	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0
χ₂₂	6	6	6	-2	-2	-2	2	2	-2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	0	6	6	6	-2	-2	-2	2	2	-2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	0
χ₂₃	6	6	6	-2	-2	-2	2	2	-2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	0	6	6	6	-2	-2	-2	2	2	-2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	0
χ₂₄	6	6	-6	6	6	-2	-2	-2	-2	-6	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	6	-6	6	6	-2	-2	-2	-2	-6	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	6	-6	-2	-2	2	-2	-2	2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	6	6	-6	-2	-2	2	-2	-2	2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2
χ₂₆	6	6	-6	-2	-2	2	-2	-2	2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	6	6	-6	-2	-2	2	-2	-2	2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2
χ₂₇	6	6	-6	-2	-2	-2	2	2	-2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	6	6	-6	-2	-2	-2	2	2	-2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0
χ₂₈	6	6	-6	-2	-2	-2	2	2	-2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	6	6	-6	-2	-2	-2	2	2	-2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0
χ₂₉	6	-6	0	6	-6	-2	2	-2	2	0	$- 3 i \sqrt{2}$	$3 i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	6	-6	-2	2	-2	2	0	$- 3 i \sqrt{2}$	$3 i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	-6	0	6	-6	-2	2	-2	2	0	$3 i \sqrt{2}$	$- 3 i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	6	-6	0	6	-6	-2	2	-2	2	0	$3 i \sqrt{2}$	$- 3 i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	12	-12	0	-4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	12	-12	0	-4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	12	-12	0	-4	4	-4	-4	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	12	-12	0	-4	4	-4	-4	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₃₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1
χ₃₅	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	-1	1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1	-1	-1	1	1
χ₃₆	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	1	1	-1	-1
χ₃₇	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0
χ₃₈	2	2	2	2	2	2	2	2	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₃₉	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	-2	-2	-2	-2	-2	2	0	0	2	2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	-2	-2	2	-2	-2	-2	-2	-2	-2	2	0	0	2	2	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₄₁	2	2	-2	2	2	2	2	2	2	-2	0	0	-2	-2	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	-2	-2	2	-2	-2	-2	-2	-2	-2	2	0	0	2	2	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₄₂	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	-2	2	0	-2	2	-2	2	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	-2	2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₄₃	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	0	0	-2	2	0	-2	2	-2	2	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	0	0
χ₄₄	2	-2	0	2	-2	2	-2	2	-2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	0	0	-2	2	0	-2	2	-2	2	-2	2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0
χ₄₅	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	-2	2	0	-2	2	-2	2	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	-2	2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₄₆	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	0	0	-2	2	0	-2	2	-2	2	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	0	0
χ₄₇	2	-2	0	2	-2	2	-2	2	-2	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0	-2	2	0	-2	2	-2	2	-2	2	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	0	0
χ₄₈	3	3	3	3	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1	-3	-3	-3	-3	-3	1	1	1	1	-3	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₄₉	3	3	3	3	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1	-3	-3	-3	-3	-3	1	1	1	1	-3	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₅₀	3	3	3	3	3	-1	-1	-1	-1	3	-3	-3	-1	-1	1	1	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	1	1	-3	-3	-3	-3	-3	1	1	1	1	-3	3	3	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1
χ₅₁	3	3	3	3	3	-1	-1	-1	-1	3	-3	-3	-1	-1	1	1	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1	-3	-3	-3	-3	-3	1	1	1	1	-3	3	3	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	1	-1	-1	-1	1	1
χ₅₂	6	6	6	-2	-2	2	-2	-2	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	-6	-6	-6	2	2	-2	2	2	-2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0
χ₅₃	6	6	6	-2	-2	2	-2	-2	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	-6	-6	-6	2	2	-2	2	2	-2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0
χ₅₄	6	6	6	-2	-2	-2	2	2	-2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	0	-6	-6	-6	2	2	2	-2	-2	2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	0
χ₅₅	6	6	6	-2	-2	-2	2	2	-2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	0	-6	-6	-6	2	2	2	-2	-2	2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	0
χ₅₆	6	6	-6	6	6	-2	-2	-2	-2	-6	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	-6	6	-6	-6	2	2	2	2	6	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	6	6	-6	-2	-2	2	-2	-2	2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	-6	-6	6	2	2	-2	2	2	-2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2
χ₅₈	6	6	-6	-2	-2	2	-2	-2	2	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-6	-6	6	2	2	-2	2	2	-2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2
χ₅₉	6	6	-6	-2	-2	-2	2	2	-2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	-6	-6	6	2	2	2	-2	-2	2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0
χ₆₀	6	6	-6	-2	-2	-2	2	2	-2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	-6	-6	6	2	2	2	-2	-2	2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0
χ₆₁	6	-6	0	6	-6	-2	2	-2	2	0	$- 3 i \sqrt{2}$	$3 i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	-6	6	2	-2	2	-2	0	$3 i \sqrt{2}$	$- 3 i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	6	-6	0	6	-6	-2	2	-2	2	0	$3 i \sqrt{2}$	$- 3 i \sqrt{2}$	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-6	6	0	-6	6	2	-2	2	-2	0	$- 3 i \sqrt{2}$	$3 i \sqrt{2}$	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	12	-12	0	-4	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-12	12	0	4	-4	-4	-4	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	12	-12	0	-4	4	-4	-4	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-12	12	0	4	-4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72341662