Group #13164661 — 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	C₄₉	C₅₀
size	1	1	2	2	6	6	6	6	6	6	6	9	9	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	48	48	48	48	54	54	54	54	54	96	96	96	96	144	144	144	144
order	1	2	3	6	2	2	2	3	4	4	6	4	4	6	6	6	6	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	12	3	3	6	6	2	2	4	4	4	3	3	6	6	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	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₇	2	2	2	2	2	2	2	-1	2	2	-1	0	0	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0
χ₈	2	2	2	2	2	2	2	-1	2	2	-1	0	0	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0
χ₉	2	2	2	2	2	2	2	-1	2	2	-1	0	0	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0
χ₁₀	3	3	3	3	3	-1	-1	3	-1	-1	3	3	3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0
χ₁₁	3	3	3	3	3	-1	-1	3	-1	-1	3	-3	-3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	-3	1	1	0	0	0	0	0	0	0	0
χ₁₂	3	3	3	3	-1	3	-1	3	-1	-1	3	3	3	-1	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	3	-1	0	0	0	0	0	0	0	0
χ₁₃	3	3	3	3	-1	3	-1	3	-1	-1	3	-3	-3	-1	3	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	-3	1	0	0	0	0	0	0	0	0
χ₁₄	3	3	3	3	-1	-1	3	3	-1	-1	3	3	3	-1	-1	3	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	-1	3	0	0	0	0	0	0	0	0
χ₁₅	3	3	3	3	-1	-1	3	3	-1	-1	3	-3	-3	-1	-1	3	-1	-1	-1	-1	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-3	0	0	0	0	0	0	0	0
χ₁₆	3	3	3	3	-1	-1	-1	3	3	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	3	3	3	-1	-1	-1	0	0	0	0	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₇	3	3	3	3	-1	-1	-1	3	3	-1	3	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	3	3	3	-1	-1	-1	0	0	0	0	-3	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₈	3	3	3	3	-1	-1	-1	3	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	3	3	0	0	0	0	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₉	3	3	3	3	-1	-1	-1	3	-1	3	3	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	3	3	0	0	0	0	1	-3	1	1	1	0	0	0	0	0	0	0	0
χ₂₀	4	-4	4	-4	0	0	0	4	0	0	-4	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	0	0	0	0	0	1	1	-1	-1	$i$	$- i$	$i$	$- i$
χ₂₁	4	-4	4	-4	0	0	0	4	0	0	-4	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ¹¹	−ζ¹¹	ζ⁷	−ζ⁷
χ₂₂	4	-4	4	-4	0	0	0	4	0	0	-4	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ⁷	−ζ⁷	ζ¹¹	−ζ¹¹
χ₂₃	4	-4	4	-4	0	0	0	4	0	0	-4	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1	0	0	0	0	0	1	1	-1	-1	$- i$	$i$	$- i$	$i$
χ₂₄	4	-4	4	-4	0	0	0	4	0	0	-4	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ¹¹	ζ¹¹	−ζ⁷	ζ⁷
χ₂₅	4	-4	4	-4	0	0	0	4	0	0	-4	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ⁷	ζ⁷	−ζ¹¹	ζ¹¹
χ₂₆	6	6	6	6	6	-2	-2	-3	-2	-2	-3	0	0	6	-2	-2	-3	-3	-3	1	1	1	1	1	1	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	6	6	-2	6	-2	-3	-2	-2	-3	0	0	-2	6	-2	1	1	1	-3	-3	-3	1	1	1	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	6	6	-2	-2	6	-3	-2	-2	-3	0	0	-2	-2	6	1	1	1	1	1	1	-3	-3	-3	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	6	6	-2	-2	-2	-3	6	-2	-3	0	0	-2	-2	-2	1	1	1	1	1	1	1	1	1	6	-2	-3	-3	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	6	6	6	-2	-2	-2	-3	-2	6	-3	0	0	-2	-2	-2	1	1	1	1	1	1	1	1	1	-2	6	1	1	1	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	-3	-3	6	6	6	0	6	6	0	0	0	-3	-3	-3	0	0	0	0	0	0	0	0	0	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	6	-3	-3	6	-2	-2	0	-2	-2	0	0	0	-3	1	1	0	0	0	4	-2	-2	4	-2	-2	1	1	4	-2	-2	4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	6	6	-3	-3	6	-2	-2	0	-2	-2	0	0	0	-3	1	1	0	0	0	-2	4	-2	-2	4	-2	1	1	-2	4	-2	-2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-3	-3	6	-2	-2	0	-2	-2	0	0	0	-3	1	1	0	0	0	-2	-2	4	-2	-2	4	1	1	-2	-2	4	-2	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	-3	-3	-2	6	-2	0	-2	-2	0	0	0	1	-3	1	4	-2	-2	0	0	0	4	-2	-2	1	1	-2	4	-2	-2	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-3	-3	-2	6	-2	0	-2	-2	0	0	0	1	-3	1	-2	4	-2	0	0	0	-2	4	-2	1	1	-2	-2	4	4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	-3	-3	-2	6	-2	0	-2	-2	0	0	0	1	-3	1	-2	-2	4	0	0	0	-2	-2	4	1	1	4	-2	-2	-2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-3	-3	-2	-2	6	0	-2	-2	0	0	0	1	1	-3	4	-2	-2	4	-2	-2	0	0	0	1	1	-2	-2	4	-2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-3	-3	-2	-2	6	0	-2	-2	0	0	0	1	1	-3	-2	4	-2	-2	4	-2	0	0	0	1	1	4	-2	-2	-2	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	6	6	-3	-3	-2	-2	6	0	-2	-2	0	0	0	1	1	-3	-2	-2	4	-2	-2	4	0	0	0	1	1	-2	4	-2	4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	6	-3	-3	-2	-2	-2	0	6	-2	0	0	0	1	1	1	4	-2	-2	-2	4	-2	-2	-2	4	-3	1	0	0	0	4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	6	6	-3	-3	-2	-2	-2	0	6	-2	0	0	0	1	1	1	-2	4	-2	-2	-2	4	4	-2	-2	-3	1	0	0	0	-2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	-3	-3	-2	-2	-2	0	6	-2	0	0	0	1	1	1	-2	-2	4	4	-2	-2	-2	4	-2	-3	1	0	0	0	-2	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	-3	-3	-2	-2	-2	0	-2	6	0	0	0	1	1	1	4	-2	-2	-2	-2	4	-2	4	-2	1	-3	4	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	6	-3	-3	-2	-2	-2	0	-2	6	0	0	0	1	1	1	-2	4	-2	4	-2	-2	-2	-2	4	1	-3	-2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	6	-3	-3	-2	-2	-2	0	-2	6	0	0	0	1	1	1	-2	-2	4	-2	4	-2	4	-2	-2	1	-3	-2	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-8	8	-8	0	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	-1	-1	1	1	0	0	0	0
χ₄₈	8	-8	8	-8	0	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0
χ₄₉	8	-8	8	-8	0	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0
χ₅₀	24	-24	-12	12	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13164661