Group #73136 — 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
size	1	1	2	2	2	3	3	6	6	6	8	8	8	12	12	12	12	12	12	12	12	16	16	16	24	32	32	48	48
order	1	2	4	8	8	2	2	4	8	8	3	4	6	16	16	16	16	16	16	16	16	12	24	24	4	12	12	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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	-1	2	-1	0	0	0	0	0	0	0	0	-1	-1	-1	2	-1	-1	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	-1	-2	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-2	1	1	0	0
χ₇	2	2	2	-2	-2	2	2	2	-2	-2	2	0	2	0	0	0	0	0	0	0	0	2	-2	-2	0	0	0	0	0
χ₈	2	2	2	-2	-2	2	2	2	-2	-2	-1	0	-1	0	0	0	0	0	0	0	0	-1	1	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₉	2	2	2	-2	-2	2	2	2	-2	-2	-1	0	-1	0	0	0	0	0	0	0	0	-1	1	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₁₀	2	2	-2	0	0	2	2	-2	0	0	2	0	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	-2	0	0	0	0	0	0	0
χ₁₁	2	2	-2	0	0	2	2	-2	0	0	2	0	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	-2	0	0	0	0	0	0	0
χ₁₂	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	2	0	-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	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₁₃	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	2	0	-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	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₁₄	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	2	0	-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	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₅	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	2	0	-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	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₆	3	3	3	3	3	-1	-1	-1	-1	-1	0	3	0	1	1	1	1	-1	-1	-1	-1	0	0	0	-1	0	0	1	-1
χ₁₇	3	3	3	3	3	-1	-1	-1	-1	-1	0	3	0	-1	-1	-1	-1	1	1	1	1	0	0	0	-1	0	0	-1	1
χ₁₈	3	3	3	3	3	-1	-1	-1	-1	-1	0	-3	0	1	1	1	1	-1	-1	-1	-1	0	0	0	1	0	0	-1	1
χ₁₉	3	3	3	3	3	-1	-1	-1	-1	-1	0	-3	0	-1	-1	-1	-1	1	1	1	1	0	0	0	1	0	0	1	-1
χ₂₀	4	4	-4	0	0	4	4	-4	0	0	-2	0	-2	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0
χ₂₁	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	0	2	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₂₂	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	0	2	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₂₃	6	6	6	-6	-6	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₅	6	6	-6	0	0	-2	-2	2	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₂₆	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	−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	0	0	0	0
χ₂₇	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	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	0	0	0	0
χ₂₈	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	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	0	0	0	0
χ₂₉	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	−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	0	0	0	0

Character table — Group #73136