Group #10619558 — 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
size	1	1	2	2	6	6	6	6	6	6	6	6	18	18	18	18	18	18	18	18	18	18	18	36	36	54	54	54	54	54	54
order	1	2	3	6	3	6	9	9	9	18	18	18	3	4	6	12	12	36	36	36	36	36	36	9	18	2	2	6	6	6	6
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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	-1	0	-1	0	0	0	0	0	0	0	0	-1	-1	0	2	0	0	-1	-1
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	-1	0	-1	0	0	0	0	0	0	0	0	-1	-1	0	-2	0	0	1	1
χ₇	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₈	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-2	2	-2	-2	1	1	1	1	1	1	-1	-1	0	0	0	0	0	0
χ₉	2	-2	2	-2	2	-2	2	2	2	-2	-2	-2	2	0	-2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0
χ₁₀	2	-2	2	-2	2	-2	2	2	2	-2	-2	-2	-1	0	1	0	0	0	0	0	0	0	0	-1	1	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$
χ₁₁	2	-2	2	-2	2	-2	2	2	2	-2	-2	-2	-1	0	1	0	0	0	0	0	0	0	0	-1	1	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$
χ₁₂	2	-2	2	-2	2	-2	-1	-1	-1	1	1	1	2	0	-2	0	0	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-1	1	0	0	0	0	0	0
χ₁₃	2	-2	2	-2	2	-2	-1	-1	-1	1	1	1	2	0	-2	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-1	1	0	0	0	0	0	0
χ₁₄	4	4	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	0	-2	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0
χ₁₅	4	-4	4	-4	4	-4	-2	-2	-2	2	2	2	-2	0	2	0	0	0	0	0	0	0	0	1	-1	0	0	0	0	0	0
χ₁₆	6	6	6	6	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0
χ₁₇	6	6	6	6	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0
χ₁₈	6	6	-3	-3	0	0	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	0	2	0	-1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	0	0	0	0	0	0	0	0
χ₁₉	6	6	-3	-3	0	0	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	0	-2	0	1	1	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	0	0	0	0	0
χ₂₀	6	6	-3	-3	0	0	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	0	2	0	-1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	0	0	0	0	0	0	0
χ₂₁	6	6	-3	-3	0	0	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	0	-2	0	1	1	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	0	0	0	0	0
χ₂₂	6	6	-3	-3	0	0	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	0	2	0	-1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	0	0	0	0	0	0	0	0
χ₂₃	6	6	-3	-3	0	0	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	0	-2	0	1	1	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	0	0	0	0	0	0	0	0
χ₂₄	6	-6	6	-6	-3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₂₅	6	-6	6	-6	-3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₂₆	6	-6	-3	3	0	0	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	0	0	0	0	0	0	0	0
χ₂₇	6	-6	-3	3	0	0	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	0	0	0	0	0	0	0	0
χ₂₈	6	-6	-3	3	0	0	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	0	0	0	0	0	0	0	0
χ₂₉	6	-6	-3	3	0	0	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	0	0	0	0	0	0	0	0
χ₃₀	6	-6	-3	3	0	0	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	0	0	0	0	0	0	0	0
χ₃₁	6	-6	-3	3	0	0	2ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²−2ζ²⁶+2ζ³⁴	−ζ¹⁴−2ζ²²+ζ²⁶−ζ³⁴	−2ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²+2ζ²⁶−2ζ³⁴	ζ¹⁴+2ζ²²−ζ²⁶+ζ³⁴	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	0	0	0	0	0	0	0	0

Character table — Group #10619558