Group #13180651 — 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
size	1	1	2	3	3	4	4	4	4	4	4	4	4	6	8	8	8	8	9	9	12	12	12	12	12	12	12	12	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	18	27	27	54	72	72	72	72	108	108	108	108	108	108	108	108
order	1	2	4	2	2	3	3	6	6	12	12	12	12	4	3	6	12	12	2	2	6	6	6	6	12	12	12	12	3	3	3	3	6	6	6	6	12	12	12	12	12	12	12	12	4	2	2	4	6	6	12	12	4	4	4	4	4	4	4	4
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
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
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	-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	-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	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	-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	-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	-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	2	-1	-1	-1	-1	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	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	2	-1	-1	-1	-1	-2	-2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-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	-2	-1	-1	1	1	2	2	2	2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-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	-2	-1	-1	1	1	-2	-2	2	2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	2	-2	-2	2	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₁₃	2	-2	0	2	-2	2	2	-2	-2	0	0	0	0	0	2	-2	0	0	2	-2	2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	2	-2	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	-2	0	2	-2	2	2	-2	-2	0	0	0	0	0	2	-2	0	0	-2	2	2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	-2	2	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₁₅	2	-2	0	2	-2	2	2	-2	-2	0	0	0	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	2	-2	2	2	-2	-2	0	0	0	0	-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	2	-2	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₆	2	-2	0	2	-2	2	2	-2	-2	0	0	0	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	-2	2	2	2	-2	-2	0	0	0	0	-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	-2	2	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₇	2	-2	0	2	-2	2	2	-2	-2	0	0	0	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	2	-2	2	2	-2	-2	0	0	0	0	-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	2	-2	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₈	2	-2	0	2	-2	2	2	-2	-2	0	0	0	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	-2	2	2	2	-2	-2	0	0	0	0	-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	-2	2	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₉	3	3	3	-1	-1	3	3	3	3	3	3	3	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₂₀	3	3	3	-1	-1	3	3	3	3	3	3	3	3	-1	0	0	0	0	3	3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-1	-1	-1	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₂₁	3	3	3	-1	-1	3	3	3	3	3	3	3	3	-1	0	0	0	0	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	1	1	1	0	0	0	0	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₂₂	3	3	3	-1	-1	3	3	3	3	3	3	3	3	-1	0	0	0	0	-3	-3	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	1	1	1	0	0	0	0	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₂₃	3	3	-3	-1	-1	3	3	3	3	-3	-3	-3	-3	1	0	0	0	0	3	3	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-1	-1	1	0	0	0	0	1	-1	1	-1	-1	1	-1	1
χ₂₄	3	3	-3	-1	-1	3	3	3	3	-3	-3	-3	-3	1	0	0	0	0	3	3	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	-1	-1	1	0	0	0	0	-1	1	-1	1	1	-1	1	-1
χ₂₅	3	3	-3	-1	-1	3	3	3	3	-3	-3	-3	-3	1	0	0	0	0	-3	-3	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	1	1	-1	0	0	0	0	$i$	$- i$	$- i$	$i$	$- i$	$i$	$i$	$- i$
χ₂₆	3	3	-3	-1	-1	3	3	3	3	-3	-3	-3	-3	1	0	0	0	0	-3	-3	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	1	1	-1	0	0	0	0	$- i$	$i$	$i$	$- i$	$i$	$- i$	$- i$	$i$
χ₂₇	4	4	4	4	4	1	-2	1	-2	1	1	-2	-2	4	4	4	4	4	0	0	1	-2	1	-2	1	1	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	4	1	-2	1	-2	1	1	-2	-2	4	-2	-2	-2	-2	0	0	1	-2	1	-2	1	1	-2	-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	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	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	0	0	0	0
χ₂₉	4	4	4	4	4	1	-2	1	-2	1	1	-2	-2	4	-2	-2	-2	-2	0	0	1	-2	1	-2	1	1	-2	-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	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	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	0	0	0	0
χ₃₀	4	4	4	4	4	-2	1	-2	1	-2	-2	1	1	4	4	4	4	4	0	0	-2	1	-2	1	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	4	4	4	-2	1	-2	1	-2	-2	1	1	4	-2	-2	-2	-2	0	0	-2	1	-2	1	-2	-2	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	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	0	0	0	0
χ₃₂	4	4	4	4	4	-2	1	-2	1	-2	-2	1	1	4	-2	-2	-2	-2	0	0	-2	1	-2	1	-2	-2	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	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	0	0	0	0
χ₃₃	4	4	-4	4	4	1	-2	1	-2	-1	-1	2	2	-4	4	4	-4	-4	0	0	1	-2	1	-2	-1	-1	2	2	1	1	-2	-2	1	1	-2	-2	-1	-1	2	2	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-4	4	4	1	-2	1	-2	-1	-1	2	2	-4	-2	-2	2	2	0	0	1	-2	1	-2	-1	-1	2	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	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-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	0	0	0	0
χ₃₅	4	4	-4	4	4	1	-2	1	-2	-1	-1	2	2	-4	-2	-2	2	2	0	0	1	-2	1	-2	-1	-1	2	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	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-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	0	0	0	0
χ₃₆	4	4	-4	4	4	-2	1	-2	1	2	2	-1	-1	-4	4	4	-4	-4	0	0	-2	1	-2	1	2	2	-1	-1	-2	-2	1	1	-2	-2	1	1	2	2	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-4	4	4	-2	1	-2	1	2	2	-1	-1	-4	-2	-2	2	2	0	0	-2	1	-2	1	2	2	-1	-1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-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	0	0	0	0
χ₃₈	4	4	-4	4	4	-2	1	-2	1	2	2	-1	-1	-4	-2	-2	2	2	0	0	-2	1	-2	1	2	2	-1	-1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-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	0	0	0	0
χ₃₉	4	-4	0	4	-4	1	-2	-1	2	$3 i$	$- 3 i$	0	0	0	4	-4	0	0	0	0	1	-2	-1	2	$3 i$	$- 3 i$	0	0	1	1	-2	-2	-1	-1	2	2	$3 i$	$- 3 i$	0	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	0	4	-4	1	-2	-1	2	$3 i$	$- 3 i$	0	0	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	1	-2	-1	2	$3 i$	$- 3 i$	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	−2ζ⁷−ζ¹¹	$- \sqrt{3}$	$- \sqrt{3}$	−ζ⁷−2ζ¹¹	2ζ⁷+ζ¹¹	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	0	4	-4	1	-2	-1	2	$3 i$	$- 3 i$	0	0	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	1	-2	-1	2	$3 i$	$- 3 i$	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	−ζ⁷−2ζ¹¹	$\sqrt{3}$	$\sqrt{3}$	−2ζ⁷−ζ¹¹	ζ⁷+2ζ¹¹	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	0	4	-4	1	-2	-1	2	$- 3 i$	$3 i$	0	0	0	4	-4	0	0	0	0	1	-2	-1	2	$- 3 i$	$3 i$	0	0	1	1	-2	-2	-1	-1	2	2	$- 3 i$	$3 i$	0	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	0	4	-4	1	-2	-1	2	$- 3 i$	$3 i$	0	0	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	1	-2	-1	2	$- 3 i$	$3 i$	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	ζ⁷+2ζ¹¹	$- \sqrt{3}$	$- \sqrt{3}$	2ζ⁷+ζ¹¹	−ζ⁷−2ζ¹¹	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	0	4	-4	1	-2	-1	2	$- 3 i$	$3 i$	0	0	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	1	-2	-1	2	$- 3 i$	$3 i$	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	2ζ⁷+ζ¹¹	$\sqrt{3}$	$\sqrt{3}$	ζ⁷+2ζ¹¹	−2ζ⁷−ζ¹¹	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	0	4	-4	-2	1	2	-1	0	0	$3 i$	$- 3 i$	0	4	-4	0	0	0	0	-2	1	2	-1	0	0	$3 i$	$- 3 i$	-2	-2	1	1	2	2	-1	-1	0	0	$3 i$	$- 3 i$	0	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	0	4	-4	-2	1	2	-1	0	0	$3 i$	$- 3 i$	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	-2	1	2	-1	0	0	$3 i$	$- 3 i$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$- \sqrt{3}$	$- \sqrt{3}$	ζ⁷+2ζ¹¹	−2ζ⁷−ζ¹¹	$\sqrt{3}$	$\sqrt{3}$	−ζ⁷−2ζ¹¹	2ζ⁷+ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	-4	0	4	-4	-2	1	2	-1	0	0	$3 i$	$- 3 i$	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	-2	1	2	-1	0	0	$3 i$	$- 3 i$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\sqrt{3}$	$\sqrt{3}$	2ζ⁷+ζ¹¹	−ζ⁷−2ζ¹¹	$- \sqrt{3}$	$- \sqrt{3}$	−2ζ⁷−ζ¹¹	ζ⁷+2ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	-4	0	4	-4	-2	1	2	-1	0	0	$- 3 i$	$3 i$	0	4	-4	0	0	0	0	-2	1	2	-1	0	0	$- 3 i$	$3 i$	-2	-2	1	1	2	2	-1	-1	0	0	$- 3 i$	$3 i$	0	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	-4	0	4	-4	-2	1	2	-1	0	0	$- 3 i$	$3 i$	0	-2	2	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	-2	1	2	-1	0	0	$- 3 i$	$3 i$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$- \sqrt{3}$	$- \sqrt{3}$	−2ζ⁷−ζ¹¹	ζ⁷+2ζ¹¹	$\sqrt{3}$	$\sqrt{3}$	2ζ⁷+ζ¹¹	−ζ⁷−2ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	-4	0	4	-4	-2	1	2	-1	0	0	$- 3 i$	$3 i$	0	-2	2	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	-2	1	2	-1	0	0	$- 3 i$	$3 i$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\sqrt{3}$	$\sqrt{3}$	−ζ⁷−2ζ¹¹	2ζ⁷+ζ¹¹	$- \sqrt{3}$	$- \sqrt{3}$	ζ⁷+2ζ¹¹	−2ζ⁷−ζ¹¹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	6	-6	0	-2	2	6	6	-6	-6	0	0	0	0	0	0	0	0	0	6	-6	-2	-2	2	2	0	0	0	0	0	0	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	0	0	0
χ₅₂	6	-6	0	-2	2	6	6	-6	-6	0	0	0	0	0	0	0	0	0	-6	6	-2	-2	2	2	0	0	0	0	0	0	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	0	0	0
χ₅₃	12	12	12	-4	-4	3	-6	3	-6	3	3	-6	-6	-4	0	0	0	0	0	0	-1	2	-1	2	-1	-1	2	2	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
χ₅₄	12	12	12	-4	-4	-6	3	-6	3	-6	-6	3	3	-4	0	0	0	0	0	0	2	-1	2	-1	2	2	-1	-1	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
χ₅₅	12	12	-12	-4	-4	3	-6	3	-6	-3	-3	6	6	4	0	0	0	0	0	0	-1	2	-1	2	1	1	-2	-2	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
χ₅₆	12	12	-12	-4	-4	-6	3	-6	3	6	6	-3	-3	4	0	0	0	0	0	0	2	-1	2	-1	-2	-2	1	1	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
χ₅₇	12	-12	0	-4	4	3	-6	-3	6	$9 i$	$- 9 i$	0	0	0	0	0	0	0	0	0	-1	2	1	-2	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	12	-12	0	-4	4	3	-6	-3	6	$- 9 i$	$9 i$	0	0	0	0	0	0	0	0	0	-1	2	1	-2	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	12	-12	0	-4	4	-6	3	6	-3	0	0	$9 i$	$- 9 i$	0	0	0	0	0	0	0	2	-1	-2	1	0	0	$- 3 i$	$3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	12	-12	0	-4	4	-6	3	6	-3	0	0	$- 9 i$	$9 i$	0	0	0	0	0	0	0	2	-1	-2	1	0	0	$3 i$	$- 3 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13180651