Group #13165846 — 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
size	1	3	4	4	6	6	9	12	12	12	12	12	12	12	12	12	12	16	16	27	36	36	54	54	64	64	64	64	108	108	144	144	144	144	144	144
order	1	2	3	3	2	2	2	6	6	6	6	6	6	6	6	6	6	3	3	2	4	4	2	2	3	3	3	3	4	4	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
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
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	-1	-1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	-1	-1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₇	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	$i$	$- i$	-1	-1	1	1	1	1	$i$	$- i$	-1	-1	$i$	$- i$	$i$	$- i$
χ₈	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	$- i$	$i$	-1	-1	1	1	1	1	$- i$	$i$	-1	-1	$- i$	$i$	$- i$	$i$
χ₉	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$i$	$- i$	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$i$	$- i$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	ζ¹¹	−ζ¹¹	ζ⁷	−ζ⁷
χ₁₀	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	$- i$	$i$	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$- i$	$i$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	−ζ¹¹	ζ¹¹	−ζ⁷	ζ⁷
χ₁₁	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$i$	$- i$	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$i$	$- i$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	ζ⁷	−ζ⁷	ζ¹¹	−ζ¹¹
χ₁₂	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	$- i$	$i$	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$- i$	$i$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	−ζ⁷	ζ⁷	−ζ¹¹	ζ¹¹
χ₁₃	3	3	3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	3	3	3	-1	-1	0	0	0	0	-1	-1	0	0	0	0	0	0
χ₁₄	3	3	3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	3	-3	-3	-1	-1	0	0	0	0	1	1	0	0	0	0	0	0
χ₁₅	3	3	3	3	-1	-1	-3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-3	$3 i$	$- 3 i$	1	1	0	0	0	0	$- i$	$i$	0	0	0	0	0	0
χ₁₆	3	3	3	3	-1	-1	-3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-3	$- 3 i$	$3 i$	1	1	0	0	0	0	$i$	$- i$	0	0	0	0	0	0
χ₁₇	4	4	1	-2	4	4	0	1	-2	1	1	1	1	-2	-2	-2	-2	4	4	0	0	0	0	0	1	-2	1	-2	0	0	0	0	0	0	0	0
χ₁₈	4	4	1	-2	4	4	0	1	-2	1	1	1	1	-2	-2	-2	-2	$- 2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	0	0	0	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$1 + i \sqrt{3}$	$\frac{- 1 + i \sqrt{3}}{2}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₉	4	4	1	-2	4	4	0	1	-2	1	1	1	1	-2	-2	-2	-2	$- 2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	0	0	0	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$1 - i \sqrt{3}$	$\frac{- 1 - i \sqrt{3}}{2}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₀	4	4	-2	1	4	4	0	-2	1	-2	-2	-2	-2	1	1	1	1	4	4	0	0	0	0	0	-2	1	-2	1	0	0	0	0	0	0	0	0
χ₂₁	4	4	-2	1	4	4	0	-2	1	-2	-2	-2	-2	1	1	1	1	$- 2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	0	0	0	0	0	$1 + i \sqrt{3}$	$\frac{- 1 - i \sqrt{3}}{2}$	$1 - i \sqrt{3}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₂₂	4	4	-2	1	4	4	0	-2	1	-2	-2	-2	-2	1	1	1	1	$- 2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	0	0	0	0	0	$1 - i \sqrt{3}$	$\frac{- 1 + i \sqrt{3}}{2}$	$1 + i \sqrt{3}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₂₃	6	-2	6	6	2	-2	6	-2	-2	2	2	-2	-2	2	2	-2	-2	0	0	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	-2	6	6	2	-2	-6	-2	-2	2	2	-2	-2	2	2	-2	-2	0	0	2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	-2	6	6	-2	2	6	-2	-2	-2	-2	2	2	-2	-2	2	2	0	0	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	-2	6	6	-2	2	-6	-2	-2	-2	-2	2	2	-2	-2	2	2	0	0	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	12	12	3	-6	-4	-4	0	3	-6	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	12	12	-6	3	-4	-4	0	-6	3	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	12	-4	3	-6	4	-4	0	-1	2	7	-5	-1	-1	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	12	-4	3	-6	4	-4	0	-1	2	-5	7	-1	-1	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	12	-4	3	-6	-4	4	0	-1	2	-1	-1	7	-5	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	12	-4	3	-6	-4	4	0	-1	2	-1	-1	-5	7	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	12	-4	-6	3	4	-4	0	2	-1	-2	-2	2	2	7	-5	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	12	-4	-6	3	4	-4	0	2	-1	-2	-2	2	2	-5	7	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	12	-4	-6	3	-4	4	0	2	-1	2	2	-2	-2	-1	-1	7	-5	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	-4	-6	3	-4	4	0	2	-1	2	2	-2	-2	-1	-1	-5	7	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13165846