Group #87539 — 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
size	1	3	3	3	3	3	16	16	1	3	3	3	3	3	16	16	2	6	6	6	6	6	32	32	2	6	6	6	6	6	32	32	2	6	6	6	6	6	32	32
order	1	2	2	2	2	2	3	3	2	2	2	2	2	2	6	6	2	2	2	2	2	2	6	6	2	2	2	2	2	2	6	6	4	4	4	4	4	4	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
χ₂	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0
χ₅	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0
χ₆	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0
χ₇	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0
χ₈	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0
χ₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₀	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₁	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₂	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	1	1	0	0
χ₁₃	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	1	1	0	0
χ₁₄	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	1	1	0	0
χ₁₅	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	1	0	0
χ₁₆	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	0	0
χ₁₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₈	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₉	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₀	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0
χ₂₁	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0
χ₂₂	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0
χ₂₃	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0
χ₂₄	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	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
χ₂₆	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₂₇	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₂₈	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	1	1	0	0	3	3	-1	-1	-1	-1	0	0
χ₂₉	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	1	1	0	0	3	-1	3	-1	-1	-1	0	0
χ₃₀	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	1	1	0	0	3	-1	-1	3	-1	-1	0	0
χ₃₁	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	1	0	0	3	-1	-1	-1	3	-1	0	0
χ₃₂	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	0	0	3	-1	-1	-1	-1	3	0	0
χ₃₃	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	-2	-2	-2	-2	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	-2	-2	-2	-2	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-2	-2	-2	-2	0	0	-6	-6	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	-2	6	-2	-2	-2	0	0	-6	2	-6	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	-2	-2	6	-2	-2	0	0	-6	2	2	-6	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	-2	-2	-2	6	-2	0	0	-6	2	2	2	-6	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	-2	-2	-2	-2	6	0	0	-6	2	2	2	2	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #87539