Group #10593640 — 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
size	1	1	2	2	2	2	2	2	2	2	2	2	2	6	6	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	12	12	12	12	12	72	72	72	72
order	1	2	3	4	6	8	8	12	12	24	24	24	24	2	4	3	3	3	6	6	6	12	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	24	24	6	8	12	24	24	2	4	8	8
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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	0	0	0	0
χ₆	2	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	2	-2	2	-2	-2	0	0	0	0
χ₇	2	2	2	-2	2	0	0	-2	-2	0	0	0	0	-2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	0	0
χ₈	2	2	2	-2	2	0	0	-2	-2	0	0	0	0	-2	2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	0	2	0	0	0	0	0	0
χ₉	2	2	2	-2	2	0	0	-2	-2	0	0	0	0	-2	2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	0	2	0	0	0	0	0	0
χ₁₀	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	2	-1	-1	-1	0	0	0	0
χ₁₁	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	2	-1	-1	2	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0
χ₁₂	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	2	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	2	-1	-1	-1	0	0	0	0
χ₁₃	2	2	-1	2	-1	-2	-2	-1	-1	1	1	1	1	2	2	2	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	-2	-2	1	1	1	1	-1	-2	-1	1	1	0	0	0	0
χ₁₄	2	2	-1	2	-1	-2	-2	-1	-1	1	1	1	1	2	2	-1	2	-1	-1	2	-1	-1	-1	2	2	-1	-1	1	1	-2	-2	1	1	1	1	-2	-2	1	1	-1	-2	-1	1	1	0	0	0	0
χ₁₅	2	2	-1	2	-1	-2	-2	-1	-1	1	1	1	1	2	2	-1	-1	2	-1	-1	2	-1	-1	-1	-1	2	2	1	1	1	1	-2	-2	1	1	1	1	-2	-2	-1	-2	-1	1	1	0	0	0	0
χ₁₆	2	2	-1	-2	-1	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	2	2	-1	-1	2	-1	-1	-2	-2	1	1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₁₇	2	2	-1	-2	-1	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	2	-1	2	-1	-1	2	-1	1	1	-2	-2	1	1	$- \sqrt{3}$	$- \sqrt{3}$	0	0	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	$- \sqrt{3}$	$- \sqrt{3}$	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₁₈	2	2	-1	-2	-1	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	2	-1	-1	2	-1	-1	2	1	1	1	1	-2	-2	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₁₉	2	2	-1	-2	-1	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	2	2	-1	-1	2	-1	-1	-2	-2	1	1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₂₀	2	2	-1	-2	-1	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	2	-1	2	-1	-1	2	-1	1	1	-2	-2	1	1	$\sqrt{3}$	$\sqrt{3}$	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	$\sqrt{3}$	$\sqrt{3}$	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₂₁	2	2	-1	-2	-1	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	2	-1	-1	2	-1	-1	2	1	1	1	1	-2	-2	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₂₂	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	-1	-1
χ₂₃	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	1	1
χ₂₄	3	3	3	3	3	-3	-3	3	3	-3	-3	-3	-3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	1	1	-1	-1	1
χ₂₅	3	3	3	3	3	-3	-3	3	3	-3	-3	-3	-3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	1	-1	1	1	-1
χ₂₆	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	1	1	1	-1	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	1	1	1	-1	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	1	1	1	-1	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	1	1	1	-1	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	-2	0	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	2ζ⁵+2ζ⁷	−2ζ⁵−2ζ⁷	2ζ¹³+2ζ²³	−2ζ¹³−2ζ²³	0	0	1	1	-2	-1	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	-2	0	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	2ζ⁵+2ζ⁷	−2ζ⁵−2ζ⁷	2ζ¹³+2ζ²³	−2ζ¹³−2ζ²³	0	0	1	-2	1	-1	2	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	$- i \sqrt{2}$	$i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	-2	0	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	2ζ⁵+2ζ⁷	−2ζ⁵−2ζ⁷	2ζ¹³+2ζ²³	−2ζ¹³−2ζ²³	0	0	-2	1	1	2	-1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	-2	0	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	2ζ¹³+2ζ²³	−2ζ¹³−2ζ²³	2ζ⁵+2ζ⁷	−2ζ⁵−2ζ⁷	0	0	1	1	-2	-1	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	-2	0	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	2ζ¹³+2ζ²³	−2ζ¹³−2ζ²³	2ζ⁵+2ζ⁷	−2ζ⁵−2ζ⁷	0	0	1	-2	1	-1	2	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	−ζ¹³−ζ²³	ζ¹³+ζ²³	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	-2	0	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	2ζ¹³+2ζ²³	−2ζ¹³−2ζ²³	2ζ⁵+2ζ⁷	−2ζ⁵−2ζ⁷	0	0	-2	1	1	2	-1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	-2	0	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	−2ζ⁵−2ζ⁷	2ζ⁵+2ζ⁷	−2ζ¹³−2ζ²³	2ζ¹³+2ζ²³	0	0	1	1	-2	-1	-1	2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	$i \sqrt{2}$	$- i \sqrt{2}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	-2	0	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	−2ζ⁵−2ζ⁷	2ζ⁵+2ζ⁷	−2ζ¹³−2ζ²³	2ζ¹³+2ζ²³	0	0	1	-2	1	-1	2	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	-2	0	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	−2ζ⁵−2ζ⁷	2ζ⁵+2ζ⁷	−2ζ¹³−2ζ²³	2ζ¹³+2ζ²³	0	0	-2	1	1	2	-1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	−ζ¹³−ζ²³	ζ¹³+ζ²³	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹³+ζ²³	−ζ¹³−ζ²³	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	-2	0	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	−2ζ¹³−2ζ²³	2ζ¹³+2ζ²³	−2ζ⁵−2ζ⁷	2ζ⁵+2ζ⁷	0	0	1	1	-2	-1	-1	2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	$i \sqrt{2}$	$- i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	-2	0	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	−2ζ¹³−2ζ²³	2ζ¹³+2ζ²³	−2ζ⁵−2ζ⁷	2ζ⁵+2ζ⁷	0	0	1	-2	1	-1	2	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	ζ¹³+ζ²³	−ζ¹³−ζ²³	$- i \sqrt{2}$	$i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	-2	0	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	−2ζ¹³−2ζ²³	2ζ¹³+2ζ²³	−2ζ⁵−2ζ⁷	2ζ⁵+2ζ⁷	0	0	-2	1	1	2	-1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹³−ζ²³	ζ¹³+ζ²³	−ζ⁵−ζ⁷	ζ⁵+ζ⁷	$- i \sqrt{2}$	$i \sqrt{2}$	ζ⁵+ζ⁷	−ζ⁵−ζ⁷	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	6	-6	6	0	0	-6	-6	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	0	0
χ₄₅	6	6	-3	6	-3	6	6	-3	-3	-3	-3	-3	-3	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-2	1	1	1	0	0	0	0
χ₄₆	6	6	-3	6	-3	-6	-6	-3	-3	3	3	3	3	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	2	1	-1	-1	0	0	0	0
χ₄₇	6	6	-3	-6	-3	0	0	3	3	$3 \sqrt{3}$	$3 \sqrt{3}$	$- 3 \sqrt{3}$	$- 3 \sqrt{3}$	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₄₈	6	6	-3	-6	-3	0	0	3	3	$- 3 \sqrt{3}$	$- 3 \sqrt{3}$	$3 \sqrt{3}$	$3 \sqrt{3}$	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0

Character table — Group #10593640