Group #89119 — 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	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈
size	1	2	4	4	4	4	4	4	9	18	27	27	1	2	4	4	4	4	4	4	9	18	27	27	1	2	4	4	4	4	4	4	9	18	27	27	1	2	4	4	4	4	4	4	9	18	27	27
order	1	3	3	3	3	3	3	3	2	6	4	4	2	6	6	6	6	6	6	6	2	6	4	4	2	6	6	6	6	6	6	6	2	6	4	4	2	6	6	6	6	6	6	6	2	6	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	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	1	1	1	1	-1	-1
χ₃	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$
χ₄	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$
χ₅	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0
χ₆	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0
χ₇	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0
χ₈	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0
χ₉	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0
χ₁₀	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0
χ₁₁	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0
χ₁₂	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0
χ₁₃	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₄	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₁₅	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$
χ₁₆	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$
χ₁₇	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0
χ₁₈	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0
χ₁₉	4	4	1	-2	1	1	-2	-2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0
χ₂₀	4	4	-2	1	-2	-2	1	1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0
χ₂₁	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0
χ₂₂	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0
χ₂₃	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0
χ₂₄	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0
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	-1	-1	-1	-1	-1	-1
χ₂₆	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₂₇	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$
χ₂₈	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$
χ₂₉	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0
χ₃₀	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0
χ₃₁	4	4	1	-2	1	1	-2	-2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0
χ₃₂	4	4	-2	1	-2	-2	1	1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0
χ₃₃	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0
χ₃₄	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0
χ₃₅	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0
χ₃₆	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0
χ₃₇	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1
χ₃₈	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1
χ₃₉	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$i$	1	1	1	1	1	1	1	1	-1	-1	$i$	$- i$
χ₄₀	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$- i$	1	1	1	1	1	1	1	1	-1	-1	$- i$	$i$
χ₄₁	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	-2	1	0	0	2	-1	2	2	-1	-1	-1	-1	2	-1	0	0
χ₄₂	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	-2	1	-2	-2	1	1	1	1	2	-1	0	0	2	-1	2	2	-1	-1	-1	-1	-2	1	0	0
χ₄₃	4	4	1	-2	1	1	-2	-2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	-4	-4	-1	2	-1	-1	2	2	0	0	0	0	4	4	1	-2	1	1	-2	-2	0	0	0	0
χ₄₄	4	4	-2	1	-2	-2	1	1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	-4	-4	2	-1	2	2	-1	-1	0	0	0	0	4	4	-2	1	-2	-2	1	1	0	0	0	0
χ₄₅	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	4	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0
χ₄₆	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	-4	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	4	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0
χ₄₇	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0
χ₄₈	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	-4	2	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0

Character table — Group #89119