Group #73037 — 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
size	1	1	2	2	2	2	2	2	2	3	3	6	6	6	6	6	6	6	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	48	48	48	48
order	1	2	4	8	8	16	16	16	16	2	2	4	8	8	16	16	16	16	3	6	12	12	24	24	24	24	48	48	48	48	48	48	48	48	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
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
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
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
χ₅	2	2	2	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	0	0	0	0
χ₆	2	2	2	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	0	0	0	0
χ₇	2	2	2	-2	-2	0	0	0	0	2	2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₈	2	2	2	-2	-2	0	0	0	0	2	2	2	-2	-2	0	0	0	0	-1	-1	-1	-1	1	1	1	1	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₉	2	2	2	-2	-2	0	0	0	0	2	2	2	-2	-2	0	0	0	0	-1	-1	-1	-1	1	1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₁₀	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	2	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₁	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	0	0	0	0
χ₁₂	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	0	0	0	0
χ₁₃	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	2	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₄	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	0	0	0	0
χ₁₅	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	0	0	0	0
χ₁₆	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0
χ₁₇	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁵−ζ⁴⁷	−ζ²⁵+ζ⁴⁷	−ζ¹¹+ζ¹³	ζ¹¹−ζ¹³	−ζ³¹+ζ⁴¹	ζ³¹−ζ⁴¹	ζ²⁹−ζ⁴³	−ζ²⁹+ζ⁴³	0	0	0	0
χ₁₈	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ³¹+ζ⁴¹	ζ³¹−ζ⁴¹	ζ²⁹−ζ⁴³	−ζ²⁹+ζ⁴³	ζ²⁵−ζ⁴⁷	−ζ²⁵+ζ⁴⁷	−ζ¹¹+ζ¹³	ζ¹¹−ζ¹³	0	0	0	0
χ₁₉	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	2	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0
χ₂₀	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	-1	1	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁵+ζ⁴⁷	ζ²⁵−ζ⁴⁷	ζ¹¹−ζ¹³	−ζ¹¹+ζ¹³	ζ³¹−ζ⁴¹	−ζ³¹+ζ⁴¹	−ζ²⁹+ζ⁴³	ζ²⁹−ζ⁴³	0	0	0	0
χ₂₁	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	-1	1	$- \sqrt{3}$	$\sqrt{3}$	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ³¹−ζ⁴¹	−ζ³¹+ζ⁴¹	−ζ²⁹+ζ⁴³	ζ²⁹−ζ⁴³	−ζ²⁵+ζ⁴⁷	ζ²⁵−ζ⁴⁷	ζ¹¹−ζ¹³	−ζ¹¹+ζ¹³	0	0	0	0
χ₂₂	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0
χ₂₃	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹¹+ζ¹³	ζ¹¹−ζ¹³	−ζ²⁵+ζ⁴⁷	ζ²⁵−ζ⁴⁷	ζ²⁹−ζ⁴³	−ζ²⁹+ζ⁴³	ζ³¹−ζ⁴¹	−ζ³¹+ζ⁴¹	0	0	0	0
χ₂₄	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ²⁹−ζ⁴³	−ζ²⁹+ζ⁴³	ζ³¹−ζ⁴¹	−ζ³¹+ζ⁴¹	−ζ¹¹+ζ¹³	ζ¹¹−ζ¹³	−ζ²⁵+ζ⁴⁷	ζ²⁵−ζ⁴⁷	0	0	0	0
χ₂₅	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	2	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0
χ₂₆	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	-1	1	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ¹¹−ζ¹³	−ζ¹¹+ζ¹³	ζ²⁵−ζ⁴⁷	−ζ²⁵+ζ⁴⁷	−ζ²⁹+ζ⁴³	ζ²⁹−ζ⁴³	−ζ³¹+ζ⁴¹	ζ³¹−ζ⁴¹	0	0	0	0
χ₂₇	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	-1	1	$- \sqrt{3}$	$\sqrt{3}$	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁹+ζ⁴³	ζ²⁹−ζ⁴³	−ζ³¹+ζ⁴¹	ζ³¹−ζ⁴¹	ζ¹¹−ζ¹³	−ζ¹¹+ζ¹³	ζ²⁵−ζ⁴⁷	−ζ²⁵+ζ⁴⁷	0	0	0	0
χ₂₈	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1
χ₂₉	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₃₀	3	3	3	3	3	-3	-3	-3	-3	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	-1	1
χ₃₁	3	3	3	3	3	-3	-3	-3	-3	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1
χ₃₂	6	6	6	-6	-6	0	0	0	0	-2	-2	-2	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
χ₃₃	6	6	-6	0	0	$3 \sqrt{2}$	$3 \sqrt{2}$	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-6	0	0	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	$3 \sqrt{2}$	$3 \sqrt{2}$	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	−3ζ²⁵+3ζ³¹−3ζ⁴¹+3ζ⁴⁷	3ζ²⁵−3ζ³¹+3ζ⁴¹−3ζ⁴⁷	3ζ¹¹−3ζ¹³−3ζ²⁹+3ζ⁴³	−3ζ¹¹+3ζ¹³+3ζ²⁹−3ζ⁴³	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	3ζ²⁵−3ζ³¹+3ζ⁴¹−3ζ⁴⁷	−3ζ²⁵+3ζ³¹−3ζ⁴¹+3ζ⁴⁷	−3ζ¹¹+3ζ¹³+3ζ²⁹−3ζ⁴³	3ζ¹¹−3ζ¹³−3ζ²⁹+3ζ⁴³	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	3ζ¹¹−3ζ¹³−3ζ²⁹+3ζ⁴³	−3ζ¹¹+3ζ¹³+3ζ²⁹−3ζ⁴³	3ζ²⁵−3ζ³¹+3ζ⁴¹−3ζ⁴⁷	−3ζ²⁵+3ζ³¹−3ζ⁴¹+3ζ⁴⁷	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	−3ζ¹¹+3ζ¹³+3ζ²⁹−3ζ⁴³	3ζ¹¹−3ζ¹³−3ζ²⁹+3ζ⁴³	−3ζ²⁵+3ζ³¹−3ζ⁴¹+3ζ⁴⁷	3ζ²⁵−3ζ³¹+3ζ⁴¹−3ζ⁴⁷	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ¹¹−ζ¹³−ζ²⁹+ζ⁴³	−ζ¹¹+ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵−ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ²⁵+ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #73037