Group #73137 — 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
size	1	1	2	2	2	6	6	8	8	8	12	12	12	12	12	16	16	16	24	24	24	32	32	48	48
order	1	2	4	8	8	2	4	3	4	6	8	16	16	16	16	12	24	24	2	16	16	12	12	2	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
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
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
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
χ₅	2	2	2	2	2	2	2	-1	2	-1	2	0	0	0	0	-1	-1	-1	2	0	0	-1	-1	0	0
χ₆	2	2	2	2	2	2	2	-1	-2	-1	2	0	0	0	0	-1	-1	-1	-2	0	0	1	1	0	0
χ₇	2	2	2	-2	-2	2	2	2	0	2	-2	0	0	0	0	2	-2	-2	0	0	0	0	0	0	0
χ₈	2	2	2	-2	-2	2	2	-1	0	-1	-2	0	0	0	0	-1	1	1	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₉	2	2	2	-2	-2	2	2	-1	0	-1	-2	0	0	0	0	-1	1	1	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₁₀	2	2	-2	0	0	-2	2	2	0	2	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₁	2	2	-2	0	0	-2	2	2	0	2	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₂	3	3	3	3	3	-1	-1	0	3	0	-1	1	1	1	1	0	0	0	-1	-1	-1	0	0	-1	1
χ₁₃	3	3	3	3	3	-1	-1	0	3	0	-1	-1	-1	-1	-1	0	0	0	-1	1	1	0	0	1	-1
χ₁₄	3	3	3	3	3	-1	-1	0	-3	0	-1	1	1	1	1	0	0	0	1	-1	-1	0	0	1	-1
χ₁₅	3	3	3	3	3	-1	-1	0	-3	0	-1	-1	-1	-1	-1	0	0	0	1	1	1	0	0	-1	1
χ₁₆	4	4	-4	0	0	-4	4	-2	0	-2	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0
χ₁₇	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	-2	0	2	0	ζ¹¹−ζ¹³−ζ²⁵−ζ²⁹+ζ³¹−ζ⁴¹+ζ⁴³+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁵+ζ²⁹−ζ³¹+ζ⁴¹−ζ⁴³−ζ⁴⁷	ζ¹¹−ζ¹³+ζ²⁵−ζ²⁹−ζ³¹+ζ⁴¹+ζ⁴³−ζ⁴⁷	−ζ¹¹+ζ¹³−ζ²⁵+ζ²⁹+ζ³¹−ζ⁴¹−ζ⁴³+ζ⁴⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₁₈	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	-2	0	2	0	−ζ¹¹+ζ¹³+ζ²⁵+ζ²⁹−ζ³¹+ζ⁴¹−ζ⁴³−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁵−ζ²⁹+ζ³¹−ζ⁴¹+ζ⁴³+ζ⁴⁷	−ζ¹¹+ζ¹³−ζ²⁵+ζ²⁹+ζ³¹−ζ⁴¹−ζ⁴³+ζ⁴⁷	ζ¹¹−ζ¹³+ζ²⁵−ζ²⁹−ζ³¹+ζ⁴¹+ζ⁴³−ζ⁴⁷	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₁₉	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	-2	0	2	0	ζ¹¹−ζ¹³+ζ²⁵−ζ²⁹−ζ³¹+ζ⁴¹+ζ⁴³−ζ⁴⁷	−ζ¹¹+ζ¹³−ζ²⁵+ζ²⁹+ζ³¹−ζ⁴¹−ζ⁴³+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁵+ζ²⁹−ζ³¹+ζ⁴¹−ζ⁴³−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁵−ζ²⁹+ζ³¹−ζ⁴¹+ζ⁴³+ζ⁴⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₂₀	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	-2	0	2	0	−ζ¹¹+ζ¹³−ζ²⁵+ζ²⁹+ζ³¹−ζ⁴¹−ζ⁴³+ζ⁴⁷	ζ¹¹−ζ¹³+ζ²⁵−ζ²⁹−ζ³¹+ζ⁴¹+ζ⁴³−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁵−ζ²⁹+ζ³¹−ζ⁴¹+ζ⁴³+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁵+ζ²⁹−ζ³¹+ζ⁴¹−ζ⁴³−ζ⁴⁷	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₂₁	6	6	6	-6	-6	-2	-2	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	6	6	-6	0	0	2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₂₃	6	6	-6	0	0	2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₂₄	8	-8	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	2	0	-2	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₂₅	8	-8	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	2	0	-2	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0

Character table — Group #73137