Group #13180660 — 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	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂
size	1	1	3	3	4	4	4	4	8	8	9	9	12	12	12	12	16	16	16	16	16	16	16	16	27	27	54	54	54	54	54	54	54	54	72	72	1	1	3	3	4	4	4	4	8	8	9	9	12	12	12	12	16	16	16	16	16	16	16	16	27	27	54	54	54	54	54	54	54	54	72	72
order	1	2	2	2	3	3	6	6	3	6	4	4	6	6	6	6	3	3	3	3	6	6	6	6	4	4	8	8	8	8	8	8	8	8	12	12	2	2	2	2	6	6	6	6	6	6	4	4	6	6	6	6	6	6	6	6	6	6	6	6	4	4	8	8	8	8	8	8	8	8	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	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	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	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1
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	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1
χ₅	1	-1	1	-1	1	1	-1	-1	1	-1	$i$	$- i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	$i$	$- i$	1	-1	1	-1	1	1	-1	-1	1	-1	$i$	$- i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	$i$	$- i$
χ₆	1	-1	1	-1	1	1	-1	-1	1	-1	$i$	$- i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	$i$	$- i$	1	-1	1	-1	1	1	-1	-1	1	-1	$i$	$- i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	$i$	$- i$
χ₇	1	-1	1	-1	1	1	-1	-1	1	-1	$- i$	$i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	$- i$	$i$	1	-1	1	-1	1	1	-1	-1	1	-1	$- i$	$i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	$- i$	$i$
χ₈	1	-1	1	-1	1	1	-1	-1	1	-1	$- i$	$i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	$- i$	$i$	1	-1	1	-1	1	1	-1	-1	1	-1	$- i$	$i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	$- i$	$i$
χ₉	2	2	2	2	2	2	2	2	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	0	-1	-1	2	2	2	2	2	2	2	2	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	0	-1	-1
χ₁₀	2	2	2	2	2	2	2	2	-1	-1	-2	-2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	0	0	1	1	2	2	2	2	2	2	2	2	-1	-1	-2	-2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	0	0	1	1
χ₁₁	2	-2	2	-2	2	2	-2	-2	-1	1	$2 i$	$- 2 i$	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	$- i$	$i$	2	-2	2	-2	2	2	-2	-2	-1	1	$2 i$	$- 2 i$	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	$- i$	$i$
χ₁₂	2	-2	2	-2	2	2	-2	-2	-1	1	$- 2 i$	$2 i$	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	$i$	$- i$	2	-2	2	-2	2	2	-2	-2	-1	1	$- 2 i$	$2 i$	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	$i$	$- i$
χ₁₃	3	3	-1	-1	3	3	3	3	0	0	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0	3	3	-1	-1	3	3	3	3	0	0	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0
χ₁₄	3	3	-1	-1	3	3	3	3	0	0	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	3	3	-1	-1	3	3	3	3	0	0	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0
χ₁₅	3	3	-1	-1	3	3	3	3	0	0	-3	-3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	0	0	3	3	-1	-1	3	3	3	3	0	0	-3	-3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	0	0
χ₁₆	3	3	-1	-1	3	3	3	3	0	0	-3	-3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	0	0	3	3	-1	-1	3	3	3	3	0	0	-3	-3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	0	0
χ₁₇	3	-3	-1	1	3	3	-3	-3	0	0	$3 i$	$- 3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$- i$	$i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	0	0	3	-3	-1	1	3	3	-3	-3	0	0	$3 i$	$- 3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$- i$	$i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	0	0
χ₁₈	3	-3	-1	1	3	3	-3	-3	0	0	$3 i$	$- 3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$- i$	$i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	0	0	3	-3	-1	1	3	3	-3	-3	0	0	$3 i$	$- 3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$- i$	$i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	0	0
χ₁₉	3	-3	-1	1	3	3	-3	-3	0	0	$- 3 i$	$3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$i$	$- i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	0	0	3	-3	-1	1	3	3	-3	-3	0	0	$- 3 i$	$3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$i$	$- i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	0	0
χ₂₀	3	-3	-1	1	3	3	-3	-3	0	0	$- 3 i$	$3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$i$	$- i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	0	0	3	-3	-1	1	3	3	-3	-3	0	0	$- 3 i$	$3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$i$	$- i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	0	0
χ₂₁	4	4	4	4	1	-2	1	-2	4	4	0	0	1	-2	1	-2	1	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	1	-2	1	-2	4	4	0	0	1	-2	1	-2	1	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	4	1	-2	1	-2	-2	-2	0	0	1	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	1	-2	1	-2	-2	-2	0	0	1	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	4	1	-2	1	-2	-2	-2	0	0	1	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	1	-2	1	-2	-2	-2	0	0	1	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	4	-2	1	-2	1	4	4	0	0	-2	1	-2	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-2	1	-2	1	4	4	0	0	-2	1	-2	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	-2	1	-2	1	-2	-2	0	0	-2	1	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-2	1	-2	1	-2	-2	0	0	-2	1	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	4	-2	1	-2	1	-2	-2	0	0	-2	1	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-2	1	-2	1	-2	-2	0	0	-2	1	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	4	-4	1	-2	-1	2	4	-4	0	0	1	-2	-1	2	1	1	-2	-2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	1	-2	-1	2	4	-4	0	0	1	-2	-1	2	1	1	-2	-2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	4	-4	1	-2	-1	2	-2	2	0	0	1	-2	-1	2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	1	-2	-1	2	-2	2	0	0	1	-2	-1	2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	4	-4	1	-2	-1	2	-2	2	0	0	1	-2	-1	2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	1	-2	-1	2	-2	2	0	0	1	-2	-1	2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	4	-4	-2	1	2	-1	4	-4	0	0	-2	1	2	-1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	-2	1	2	-1	4	-4	0	0	-2	1	2	-1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	4	-4	-2	1	2	-1	-2	2	0	0	-2	1	2	-1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	-2	1	2	-1	-2	2	0	0	-2	1	2	-1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	4	-4	-2	1	2	-1	-2	2	0	0	-2	1	2	-1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	-2	1	2	-1	-2	2	0	0	-2	1	2	-1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	12	12	-4	-4	3	-6	3	-6	0	0	0	0	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	12	12	-4	-4	3	-6	3	-6	0	0	0	0	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	12	12	-4	-4	-6	3	-6	3	0	0	0	0	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	12	12	-4	-4	-6	3	-6	3	0	0	0	0	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	12	-12	-4	4	3	-6	-3	6	0	0	0	0	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	12	-12	-4	4	3	-6	-3	6	0	0	0	0	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	-12	-4	4	-6	3	6	-3	0	0	0	0	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	12	-12	-4	4	-6	3	6	-3	0	0	0	0	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₃₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1
χ₃₉	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	1	1
χ₄₀	1	1	1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	1	1
χ₄₁	1	-1	1	-1	1	1	-1	-1	1	-1	$i$	$- i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	$i$	$- i$	-1	1	-1	1	-1	-1	1	1	-1	1	$- i$	$i$	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	$- i$	$i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	$- i$	$i$
χ₄₂	1	-1	1	-1	1	1	-1	-1	1	-1	$i$	$- i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	$i$	$- i$	-1	1	-1	1	-1	-1	1	1	-1	1	$- i$	$i$	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	$- i$	$i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	$- i$	$i$
χ₄₃	1	-1	1	-1	1	1	-1	-1	1	-1	$- i$	$i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	$- i$	$i$	-1	1	-1	1	-1	-1	1	1	-1	1	$i$	$- i$	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	$i$	$- i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	$i$	$- i$
χ₄₄	1	-1	1	-1	1	1	-1	-1	1	-1	$- i$	$i$	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	$- i$	$i$	-1	1	-1	1	-1	-1	1	1	-1	1	$i$	$- i$	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	$i$	$- i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	$i$	$- i$
χ₄₅	2	2	2	2	2	2	2	2	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	0	-1	-1	-2	-2	-2	-2	-2	-2	-2	-2	1	1	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	-2	0	0	0	0	0	0	0	0	1	1
χ₄₆	2	2	2	2	2	2	2	2	-1	-1	-2	-2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	0	0	0	0	1	1	-2	-2	-2	-2	-2	-2	-2	-2	1	1	2	2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	2	2	0	0	0	0	0	0	0	0	-1	-1
χ₄₇	2	-2	2	-2	2	2	-2	-2	-1	1	$2 i$	$- 2 i$	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	$- i$	$i$	-2	2	-2	2	-2	-2	2	2	1	-1	$- 2 i$	$2 i$	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	$i$	$- i$
χ₄₈	2	-2	2	-2	2	2	-2	-2	-1	1	$- 2 i$	$2 i$	2	2	-2	-2	-1	-1	-1	-1	1	1	1	1	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	$i$	$- i$	-2	2	-2	2	-2	-2	2	2	1	-1	$2 i$	$- 2 i$	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	$- i$	$i$
χ₄₉	3	3	-1	-1	3	3	3	3	0	0	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1	1	1	-1	-1	-1	-1	0	0	-3	-3	1	1	-3	-3	-3	-3	0	0	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	1	1	-1	-1	-1	-1	1	1	1	1	0	0
χ₅₀	3	3	-1	-1	3	3	3	3	0	0	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	-3	-3	1	1	-3	-3	-3	-3	0	0	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	1	1	1	1	1	1	-1	-1	-1	-1	0	0
χ₅₁	3	3	-1	-1	3	3	3	3	0	0	-3	-3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	0	0	-3	-3	1	1	-3	-3	-3	-3	0	0	3	3	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	0	0
χ₅₂	3	3	-1	-1	3	3	3	3	0	0	-3	-3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	0	0	-3	-3	1	1	-3	-3	-3	-3	0	0	3	3	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	0	0
χ₅₃	3	-3	-1	1	3	3	-3	-3	0	0	$3 i$	$- 3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$- i$	$i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	0	0	-3	3	1	-1	-3	-3	3	3	0	0	$- 3 i$	$3 i$	1	1	-1	-1	0	0	0	0	0	0	0	0	$i$	$- i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	0	0
χ₅₄	3	-3	-1	1	3	3	-3	-3	0	0	$3 i$	$- 3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$- i$	$i$	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	0	0	-3	3	1	-1	-3	-3	3	3	0	0	$- 3 i$	$3 i$	1	1	-1	-1	0	0	0	0	0	0	0	0	$i$	$- i$	ζ⁷+ζ²³	−ζ⁷−ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	0	0
χ₅₅	3	-3	-1	1	3	3	-3	-3	0	0	$- 3 i$	$3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$i$	$- i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	0	0	-3	3	1	-1	-3	-3	3	3	0	0	$3 i$	$- 3 i$	1	1	-1	-1	0	0	0	0	0	0	0	0	$- i$	$i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	0	0
χ₅₆	3	-3	-1	1	3	3	-3	-3	0	0	$- 3 i$	$3 i$	-1	-1	1	1	0	0	0	0	0	0	0	0	$i$	$- i$	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	0	0	-3	3	1	-1	-3	-3	3	3	0	0	$3 i$	$- 3 i$	1	1	-1	-1	0	0	0	0	0	0	0	0	$- i$	$i$	−ζ⁵−ζ¹³	ζ⁵+ζ¹³	ζ⁷+ζ²³	−ζ⁷−ζ²³	ζ⁵+ζ¹³	−ζ⁵−ζ¹³	−ζ⁷−ζ²³	ζ⁷+ζ²³	0	0
χ₅₇	4	4	4	4	1	-2	1	-2	4	4	0	0	1	-2	1	-2	1	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-1	2	-1	2	-4	-4	0	0	-1	2	-1	2	-1	-1	2	2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	4	4	4	4	1	-2	1	-2	-2	-2	0	0	1	-2	1	-2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-1	2	-1	2	2	2	0	0	-1	2	-1	2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	4	4	4	4	1	-2	1	-2	-2	-2	0	0	1	-2	1	-2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-1	2	-1	2	2	2	0	0	-1	2	-1	2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	4	4	4	4	-2	1	-2	1	4	4	0	0	-2	1	-2	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	2	-1	2	-1	-4	-4	0	0	2	-1	2	-1	2	2	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	4	4	4	4	-2	1	-2	1	-2	-2	0	0	-2	1	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	2	-1	2	-1	2	2	0	0	2	-1	2	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	4	4	4	4	-2	1	-2	1	-2	-2	0	0	-2	1	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	2	-1	2	-1	2	2	0	0	2	-1	2	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	4	-4	4	-4	1	-2	-1	2	4	-4	0	0	1	-2	-1	2	1	1	-2	-2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	-1	2	1	-2	-4	4	0	0	-1	2	1	-2	-1	-1	2	2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	-4	4	-4	1	-2	-1	2	-2	2	0	0	1	-2	-1	2	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	-1	2	1	-2	2	-2	0	0	-1	2	1	-2	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	-4	4	-4	1	-2	-1	2	-2	2	0	0	1	-2	-1	2	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	-1	2	1	-2	2	-2	0	0	-1	2	1	-2	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	4	-4	4	-4	-2	1	2	-1	4	-4	0	0	-2	1	2	-1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	2	-1	-2	1	-4	4	0	0	2	-1	-2	1	2	2	-1	-1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	4	-4	4	-4	-2	1	2	-1	-2	2	0	0	-2	1	2	-1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	2	-1	-2	1	2	-2	0	0	2	-1	-2	1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	4	-4	4	-4	-2	1	2	-1	-2	2	0	0	-2	1	2	-1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	2	-1	-2	1	2	-2	0	0	2	-1	-2	1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	12	12	-4	-4	3	-6	3	-6	0	0	0	0	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-12	-12	4	4	-3	6	-3	6	0	0	0	0	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	12	12	-4	-4	-6	3	-6	3	0	0	0	0	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-12	-12	4	4	6	-3	6	-3	0	0	0	0	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	12	-12	-4	4	3	-6	-3	6	0	0	0	0	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-12	12	4	-4	-3	6	3	-6	0	0	0	0	1	-2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	12	-12	-4	4	-6	3	6	-3	0	0	0	0	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-12	12	4	-4	6	-3	-6	3	0	0	0	0	-2	1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13180660