Group #10593335 — 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
size	1	1	2	4	4	4	4	8	8	18	18	18	18	18	18	24	24	24	24	24	24	1	1	2	4	4	4	4	8	8	18	18	18	18	18	18	24	24	24	24	24	24
order	1	2	4	3	3	6	6	12	12	8	8	16	16	16	16	2	4	6	6	12	12	2	2	4	6	6	6	6	12	12	8	8	16	16	16	16	2	4	6	6	12	12
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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	2	2	2	2	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₆	2	2	-2	2	2	2	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	2	2	-2	2	2	2	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₇	2	2	-2	2	2	2	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	2	2	-2	2	2	2	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₈	2	-2	0	2	2	-2	-2	0	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	2	-2	0	2	2	-2	-2	0	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
χ₉	2	-2	0	2	2	-2	-2	0	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	2	-2	0	2	2	-2	-2	0	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
χ₁₀	2	-2	0	2	2	-2	-2	0	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	2	-2	0	2	2	-2	-2	0	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
χ₁₁	2	-2	0	2	2	-2	-2	0	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	2	-2	0	2	2	-2	-2	0	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
χ₁₂	4	4	4	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	2	0	0	-1	-1	4	4	4	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	2	0	0	-1	-1
χ₁₃	4	4	4	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	-2	0	0	1	1	4	4	4	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	-2	0	0	1	1
χ₁₄	4	4	4	-2	1	1	-2	1	-2	0	0	0	0	0	0	2	0	-1	-1	0	0	4	4	4	-2	1	1	-2	1	-2	0	0	0	0	0	0	2	0	-1	-1	0	0
χ₁₅	4	4	4	-2	1	1	-2	1	-2	0	0	0	0	0	0	-2	0	1	1	0	0	4	4	4	-2	1	1	-2	1	-2	0	0	0	0	0	0	-2	0	1	1	0	0
χ₁₆	4	4	-4	1	-2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	4	4	-4	1	-2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$
χ₁₇	4	4	-4	1	-2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	4	4	-4	1	-2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$
χ₁₈	4	4	-4	-2	1	1	-2	-1	2	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	4	4	-4	-2	1	1	-2	-1	2	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₁₉	4	4	-4	-2	1	1	-2	-1	2	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	4	4	-4	-2	1	1	-2	-1	2	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₂₀	8	-8	0	2	-4	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	2	-4	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	8	-8	0	-4	2	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	-4	2	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1
χ₂₄	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	-1	1	1
χ₂₅	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	1	1	-1	-1
χ₂₆	2	2	2	2	2	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	2	-2	2	2	2	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	-2	-2	2	-2	-2	-2	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0
χ₂₈	2	2	-2	2	2	2	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	-2	-2	2	-2	-2	-2	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0
χ₂₉	2	-2	0	2	2	-2	-2	0	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	-2	2	0	-2	-2	2	2	0	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
χ₃₀	2	-2	0	2	2	-2	-2	0	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	-2	2	0	-2	-2	2	2	0	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
χ₃₁	2	-2	0	2	2	-2	-2	0	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	-2	2	0	-2	-2	2	2	0	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
χ₃₂	2	-2	0	2	2	-2	-2	0	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	-2	2	0	-2	-2	2	2	0	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
χ₃₃	4	4	4	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	2	0	0	-1	-1	-4	-4	-4	-1	2	2	-1	2	-1	0	0	0	0	0	0	0	-2	0	0	1	1
χ₃₄	4	4	4	1	-2	-2	1	-2	1	0	0	0	0	0	0	0	-2	0	0	1	1	-4	-4	-4	-1	2	2	-1	2	-1	0	0	0	0	0	0	0	2	0	0	-1	-1
χ₃₅	4	4	4	-2	1	1	-2	1	-2	0	0	0	0	0	0	2	0	-1	-1	0	0	-4	-4	-4	2	-1	-1	2	-1	2	0	0	0	0	0	0	-2	0	1	1	0	0
χ₃₆	4	4	4	-2	1	1	-2	1	-2	0	0	0	0	0	0	-2	0	1	1	0	0	-4	-4	-4	2	-1	-1	2	-1	2	0	0	0	0	0	0	2	0	-1	-1	0	0
χ₃₇	4	4	-4	1	-2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-4	-4	4	-1	2	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$
χ₃₈	4	4	-4	1	-2	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-4	-4	4	-1	2	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$
χ₃₉	4	4	-4	-2	1	1	-2	-1	2	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	-4	-4	4	2	-1	-1	2	1	-2	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₄₀	4	4	-4	-2	1	1	-2	-1	2	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	-4	-4	4	2	-1	-1	2	1	-2	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₄₁	8	-8	0	2	-4	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	-2	4	-4	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	-8	0	-4	2	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	4	-2	2	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #10593335