Group #13180659 — 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	C₅₁	C₅₂	C₅₃	C₅₄
size	1	1	2	4	4	4	4	4	4	4	4	6	6	8	8	8	8	9	9	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	18	24	24	24	24	54	54	72	72	72	72	108	108	108	108	108	108	108	108
order	1	2	4	3	3	6	6	12	12	12	12	2	4	3	6	12	12	2	2	3	3	3	3	6	6	6	6	12	12	12	12	12	12	12	12	4	6	6	12	12	2	4	6	6	12	12	4	4	4	4	8	8	8	8
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	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	-1	-1	-1	-1	-1	-1
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	1	1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
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	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
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	-1	-1	-1	-1	-1	1	1	-1	1	1	1	-1	-1	1	-1	1	-1	1	-1	1	-1
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	-1	-1	-1	-1	-1	1	1	-1	1	1	1	-1	-1	-1	1	-1	1	-1	1	-1	1
χ₇	1	1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	1	1	-1	-1	-1	1	1	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$
χ₈	1	1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	1	1	1	-1	-1	-1	1	1	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	2	2	2	2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₁	2	2	-2	2	2	2	2	-2	-2	-2	-2	-2	2	-1	-1	1	1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-2	-2	-2	2	2	-2	2	-1	-1	1	1	0	0	0	0	0	0	0	0
χ₁₂	2	2	-2	2	2	2	2	-2	-2	-2	-2	-2	2	-1	-1	1	1	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	2	-2	-2	2	2	2	-2	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₁₃	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₁₄	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₁₅	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-1	-1	-1	-1	1	1	0	0	0	0	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₁₆	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-1	-1	-1	-1	1	1	0	0	0	0	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₁₇	3	3	-3	3	3	3	3	-3	-3	-3	-3	1	-1	0	0	0	0	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	1	1	-1	-1	1	-1	0	0	0	0	1	-1	1	-1	-1	1	-1	1
χ₁₈	3	3	-3	3	3	3	3	-3	-3	-3	-3	1	-1	0	0	0	0	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	1	1	-1	-1	1	-1	0	0	0	0	-1	1	-1	1	1	-1	1	-1
χ₁₉	3	3	-3	3	3	3	3	-3	-3	-3	-3	1	-1	0	0	0	0	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	1	1	-1	-1	-1	1	0	0	0	0	$i$	$- i$	$- i$	$i$	$- i$	$i$	$i$	$- i$
χ₂₀	3	3	-3	3	3	3	3	-3	-3	-3	-3	1	-1	0	0	0	0	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	1	1	-1	-1	-1	1	0	0	0	0	$- i$	$i$	$i$	$- i$	$i$	$- i$	$- i$	$i$
χ₂₁	4	4	4	1	-2	1	-2	1	1	-2	-2	4	4	4	4	4	4	0	0	1	1	-2	-2	1	1	-2	-2	1	1	1	1	-2	-2	-2	-2	0	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	1	-2	1	-2	1	1	-2	-2	4	4	-2	-2	-2	-2	0	0	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	1	0	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	1	-2	1	-2	1	1	-2	-2	4	4	-2	-2	-2	-2	0	0	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	1	0	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	-2	1	-2	1	-2	-2	1	1	4	4	4	4	4	4	0	0	-2	-2	1	1	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	0	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	-2	1	-2	1	-2	-2	1	1	4	4	-2	-2	-2	-2	0	0	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	-2	1	-2	1	-2	-2	1	1	4	4	-2	-2	-2	-2	0	0	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	-4	1	-2	1	-2	-1	-1	2	2	-4	4	4	4	-4	-4	0	0	1	1	-2	-2	1	1	-2	-2	-1	-1	-1	-1	2	2	2	2	0	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	-4	1	-2	1	-2	-1	-1	2	2	-4	4	-2	-2	2	2	0	0	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	0	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	1	-2	1	-2	-1	-1	2	2	-4	4	-2	-2	2	2	0	0	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	0	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-4	-2	1	-2	1	2	2	-1	-1	-4	4	4	4	-4	-4	0	0	-2	-2	1	1	-2	-2	1	1	2	2	2	2	-1	-1	-1	-1	0	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	-4	-2	1	-2	1	2	2	-1	-1	-4	4	-2	-2	2	2	0	0	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-4	-2	1	-2	1	2	2	-1	-1	-4	4	-2	-2	2	2	0	0	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	4	4	-4	-4	0	0	0	0	0	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	4	-4	1	1	1	1	-1	-1	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	4	4	-4	-4	0	0	0	0	0	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	-4	4	1	1	1	1	-1	-1	-1	-1	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₅	4	-4	0	4	4	-4	-4	0	0	0	0	0	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	4	-4	1	1	1	1	-1	-1	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₆	4	-4	0	4	4	-4	-4	0	0	0	0	0	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	-4	4	1	1	1	1	-1	-1	-1	-1	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	4	4	-4	-4	0	0	0	0	0	0	-2	2	0	0	4	-4	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	0	4	4	-4	-4	0	0	0	0	0	0	-2	2	0	0	-4	4	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₃₉	8	-8	0	2	-4	-2	4	$6 i$	$- 6 i$	0	0	0	0	2	-2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	−2ζ⁷−ζ¹¹	2ζ⁷+ζ¹¹	ζ⁷+2ζ¹¹	−ζ⁷−2ζ¹¹	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	0	2	-4	-2	4	$6 i$	$- 6 i$	0	0	0	0	2	-2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	−ζ⁷−2ζ¹¹	ζ⁷+2ζ¹¹	2ζ⁷+ζ¹¹	−2ζ⁷−ζ¹¹	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	-8	0	2	-4	-2	4	$6 i$	$- 6 i$	0	0	0	0	-4	4	0	0	0	0	-1	-1	2	2	1	1	-2	-2	$- 3 i$	$3 i$	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	-8	0	2	-4	-2	4	$- 6 i$	$6 i$	0	0	0	0	2	-2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	ζ⁷+2ζ¹¹	−ζ⁷−2ζ¹¹	−2ζ⁷−ζ¹¹	2ζ⁷+ζ¹¹	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	8	-8	0	2	-4	-2	4	$- 6 i$	$6 i$	0	0	0	0	2	-2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	2ζ⁷+ζ¹¹	−2ζ⁷−ζ¹¹	−ζ⁷−2ζ¹¹	ζ⁷+2ζ¹¹	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	8	-8	0	2	-4	-2	4	$- 6 i$	$6 i$	0	0	0	0	-4	4	0	0	0	0	-1	-1	2	2	1	1	-2	-2	$3 i$	$- 3 i$	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-8	0	-4	2	4	-2	0	0	$6 i$	$- 6 i$	0	0	2	-2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	−2ζ⁷−ζ¹¹	2ζ⁷+ζ¹¹	ζ⁷+2ζ¹¹	−ζ⁷−2ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	-8	0	-4	2	4	-2	0	0	$6 i$	$- 6 i$	0	0	2	-2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁷−2ζ¹¹	ζ⁷+2ζ¹¹	2ζ⁷+ζ¹¹	−2ζ⁷−ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-8	0	-4	2	4	-2	0	0	$6 i$	$- 6 i$	0	0	-4	4	0	0	0	0	2	2	-1	-1	-2	-2	1	1	0	0	0	0	$- 3 i$	$3 i$	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	0	-4	2	4	-2	0	0	$- 6 i$	$6 i$	0	0	2	-2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	ζ⁷+2ζ¹¹	−ζ⁷−2ζ¹¹	−2ζ⁷−ζ¹¹	2ζ⁷+ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	-8	0	-4	2	4	-2	0	0	$- 6 i$	$6 i$	0	0	2	-2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	2ζ⁷+ζ¹¹	−2ζ⁷−ζ¹¹	−ζ⁷−2ζ¹¹	ζ⁷+2ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	8	-8	0	-4	2	4	-2	0	0	$- 6 i$	$6 i$	0	0	-4	4	0	0	0	0	2	2	-1	-1	-2	-2	1	1	0	0	0	0	$3 i$	$- 3 i$	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	12	12	12	3	-6	3	-6	3	3	-6	-6	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	12	12	12	-6	3	-6	3	-6	-6	3	3	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	12	12	-12	3	-6	3	-6	-3	-3	6	6	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	12	12	-12	-6	3	-6	3	6	6	-3	-3	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13180659