Group #63758 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈
size	1	2	3	6	6	6	6	6	6	6	12	16	16	32	32	36	48	48
order	1	3	2	4	4	6	12	12	12	12	2	3	3	3	3	4	6	6
χ₁	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₃	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₄	1	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	-1	-1	-1
χ₅	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	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₆	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	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₇	2	-1	2	2	2	-1	-1	-1	-1	-1	0	2	2	-1	-1	0	0	0
χ₈	2	-1	2	2	2	-1	-1	-1	-1	-1	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0
χ₉	2	-1	2	2	2	-1	-1	-1	-1	-1	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0
χ₁₀	3	3	3	-1	-1	3	-1	-1	-1	-1	3	0	0	0	0	-1	0	0
χ₁₁	3	3	3	-1	-1	3	-1	-1	-1	-1	-3	0	0	0	0	1	0	0
χ₁₂	6	6	-2	$2 i$	$- 2 i$	-2	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0
χ₁₃	6	6	-2	$- 2 i$	$2 i$	-2	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0
χ₁₄	6	-3	6	-2	-2	-3	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₅	6	-3	-2	$2 i$	$- 2 i$	1	−ζ²+2ζ⁷+ζ¹⁰	ζ²−ζ¹⁰+2ζ¹¹	−ζ²−2ζ⁷+ζ¹⁰	ζ²−ζ¹⁰−2ζ¹¹	0	0	0	0	0	0	0	0
χ₁₆	6	-3	-2	$2 i$	$- 2 i$	1	ζ²−ζ¹⁰+2ζ¹¹	−ζ²+2ζ⁷+ζ¹⁰	ζ²−ζ¹⁰−2ζ¹¹	−ζ²−2ζ⁷+ζ¹⁰	0	0	0	0	0	0	0	0
χ₁₇	6	-3	-2	$- 2 i$	$2 i$	1	−ζ²−2ζ⁷+ζ¹⁰	ζ²−ζ¹⁰−2ζ¹¹	−ζ²+2ζ⁷+ζ¹⁰	ζ²−ζ¹⁰+2ζ¹¹	0	0	0	0	0	0	0	0
χ₁₈	6	-3	-2	$- 2 i$	$2 i$	1	ζ²−ζ¹⁰−2ζ¹¹	−ζ²−2ζ⁷+ζ¹⁰	ζ²−ζ¹⁰+2ζ¹¹	−ζ²+2ζ⁷+ζ¹⁰	0	0	0	0	0	0	0	0

Character table — Group #63758