Group #10619908 — 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	2	2	2	2	2	2	2	6	6	6	6	9	9	12	12	12	12	12	12	12	12	12	12	18	18	18	18	18	18	18	18	27	27	27	27	54	54	54	54
order	1	2	3	6	9	9	9	18	18	18	3	3	6	6	2	2	3	6	9	9	9	9	18	18	18	18	6	6	18	18	18	18	18	18	4	4	4	4	12	12	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	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	$i$	$- i$	$i$	$- i$	$i$	$- i$	$i$	$- i$
χ₆	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	$- i$	$i$	$- i$	$i$	$- i$	$i$	$- i$	$i$
χ₇	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	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$
χ₈	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	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	0	0	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	2	2	0	0	-1	-1
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	0	0	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	1	1
χ₁₁	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	0	0	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	2	2	0	0	-1	-1	0	0
χ₁₂	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	0	0	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	-2	-2	0	0	1	1	0	0
χ₁₃	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-2	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₅	2	-2	2	-2	2	2	2	-2	-2	-2	2	-1	-2	1	0	0	-1	1	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	$- i$	$i$
χ₁₆	2	-2	2	-2	2	2	2	-2	-2	-2	2	-1	-2	1	0	0	-1	1	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	$i$	$- i$
χ₁₇	2	-2	2	-2	2	2	2	-2	-2	-2	-1	2	1	-2	0	0	-1	1	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	$- i$	$i$	0	0
χ₁₈	2	-2	2	-2	2	2	2	-2	-2	-2	-1	2	1	-2	0	0	-1	1	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	$i$	$- i$	0	0
χ₁₉	2	-2	2	-2	-1	-1	-1	1	1	1	2	2	-2	-2	2	-2	2	-2	-1	-1	-1	-1	1	1	1	1	2	-2	-1	-1	-1	1	1	1	0	0	0	0	0	0	0	0
χ₂₀	2	-2	2	-2	-1	-1	-1	1	1	1	2	2	-2	-2	-2	2	2	-2	-1	-1	-1	-1	1	1	1	1	-2	2	1	1	1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	4	4	4	4	4	4	-2	-2	-2	-2	0	0	1	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	4	-2	-2	-2	-2	-2	-2	4	-2	4	-2	0	0	-2	-2	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	4	-2	4	0	0	-2	-2	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	4	-4	4	4	4	-4	-4	-4	-2	-2	2	2	0	0	1	-1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	4	-4	-2	-2	-2	2	2	2	4	-2	-4	2	0	0	-2	2	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	4	-4	-2	-2	-2	2	2	2	-2	4	2	-4	0	0	-2	2	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	4	-4	-2	-2	-2	2	2	2	-2	-2	2	2	0	0	1	-1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	4	-4	-2	-2	-2	2	2	2	-2	-2	2	2	0	0	1	-1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	-3	-3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	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
χ₃₂	6	6	-3	-3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	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
χ₃₃	6	6	-3	-3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	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
χ₃₄	6	6	-3	-3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	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
χ₃₅	6	6	-3	-3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	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
χ₃₆	6	6	-3	-3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	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
χ₃₇	6	-6	-3	3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	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
χ₃₈	6	-6	-3	3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	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
χ₃₉	6	-6	-3	3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	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
χ₄₀	6	-6	-3	3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	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
χ₄₁	6	-6	-3	3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	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
χ₄₂	6	-6	-3	3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	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

Character table — Group #10619908