Group #13181839 — 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	3	3	3	3	3	16	16	2	6	6	6	6	6	32	32	3	9	9	9	9	9	48	48	2	6	6	6	6	6	32	32	4	12	12	12	12	12	64	64	6	18	18	18	18	18	96	96	3	9	9	9	9	9	48	48	6	18	18	18	18	18	96	96	9	27	27	27	27	27	144	144
order	1	2	2	2	2	2	3	3	3	6	6	6	6	6	3	3	2	2	2	2	2	2	6	6	3	6	6	6	6	6	3	3	3	6	6	6	6	6	3	3	6	6	6	6	6	6	6	6	2	2	2	2	2	2	6	6	6	6	6	6	6	6	6	6	2	2	2	2	2	2	6	6
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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0
χ₅	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0
χ₆	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0
χ₇	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0
χ₈	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0
χ₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₀	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₁	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₂	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0
χ₁₃	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0
χ₁₄	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0
χ₁₅	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0
χ₁₆	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0
χ₁₇	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₂₀	6	6	-2	-2	-2	-2	0	0	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	0	0	6	6	-2	-2	-2	-2	0	0	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	0	0	6	6	-2	-2	-2	-2	0	0	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₁	6	-2	6	-2	-2	-2	0	0	-3	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	6	-2	6	-2	-2	-2	0	0	-3	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	6	-2	6	-2	-2	-2	0	0	-3	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₂	6	-2	-2	6	-2	-2	0	0	-3	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	6	-2	-2	6	-2	-2	0	0	-3	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	6	-2	-2	6	-2	-2	0	0	-3	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0
χ₂₃	6	-2	-2	-2	6	-2	0	0	-3	1	1	1	-3	1	0	0	0	0	0	0	0	0	0	0	6	-2	-2	-2	6	-2	0	0	-3	1	1	1	-3	1	0	0	0	0	0	0	0	0	0	0	6	-2	-2	-2	6	-2	0	0	-3	1	1	1	-3	1	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	-2	-2	-2	-2	6	0	0	-3	1	1	1	1	-3	0	0	0	0	0	0	0	0	0	0	6	-2	-2	-2	-2	6	0	0	-3	1	1	1	1	-3	0	0	0	0	0	0	0	0	0	0	6	-2	-2	-2	-2	6	0	0	-3	1	1	1	1	-3	0	0	0	0	0	0	0	0	0	0
χ₂₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₆	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₂₇	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₈	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	1	1	0	0
χ₂₉	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	1	1	0	0
χ₃₀	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	1	1	0	0
χ₃₁	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	1	0	0
χ₃₂	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	0	0
χ₃₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1
χ₃₄	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃₅	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₃₆	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0	3	3	-1	-1	-1	-1	0	0	3	3	-1	-1	-1	-1	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	1	1	0	0	3	3	-1	-1	-1	-1	0	0
χ₃₇	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0	3	-1	3	-1	-1	-1	0	0	3	-1	3	-1	-1	-1	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	1	1	0	0	3	-1	3	-1	-1	-1	0	0
χ₃₈	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0	3	-1	-1	3	-1	-1	0	0	3	-1	-1	3	-1	-1	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	1	1	0	0	3	-1	-1	3	-1	-1	0	0
χ₃₉	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0	3	-1	-1	-1	3	-1	0	0	3	-1	-1	-1	3	-1	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	1	0	0	3	-1	-1	-1	3	-1	0	0
χ₄₀	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0	3	-1	-1	-1	-1	3	0	0	3	-1	-1	-1	-1	3	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	0	0	3	-1	-1	-1	-1	3	0	0
χ₄₁	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0
χ₄₂	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₄₃	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₄₄	6	6	-2	-2	-2	-2	0	0	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	0	0	6	6	-2	-2	-2	-2	0	0	-3	-3	1	1	1	1	0	0	0	0	0	0	0	0	0	0	-6	-6	2	2	2	2	0	0	3	3	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	-2	6	-2	-2	-2	0	0	-3	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	6	-2	6	-2	-2	-2	0	0	-3	1	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	-6	2	-6	2	2	2	0	0	3	-1	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	-2	-2	6	-2	-2	0	0	-3	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	6	-2	-2	6	-2	-2	0	0	-3	1	1	-3	1	1	0	0	0	0	0	0	0	0	0	0	-6	2	2	-6	2	2	0	0	3	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	-2	-2	-2	6	-2	0	0	-3	1	1	1	-3	1	0	0	0	0	0	0	0	0	0	0	6	-2	-2	-2	6	-2	0	0	-3	1	1	1	-3	1	0	0	0	0	0	0	0	0	0	0	-6	2	2	2	-6	2	0	0	3	-1	-1	-1	3	-1	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	-2	-2	-2	-2	6	0	0	-3	1	1	1	1	-3	0	0	0	0	0	0	0	0	0	0	6	-2	-2	-2	-2	6	0	0	-3	1	1	1	1	-3	0	0	0	0	0	0	0	0	0	0	-6	2	2	2	2	-6	0	0	3	-1	-1	-1	-1	3	0	0	0	0	0	0	0	0	0	0
χ₄₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	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	-1	-1	-1	-1	-1	-1	-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
χ₅₀	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	6	6	-2	-2	-2	-2	0	0	6	6	-2	-2	-2	-2	0	0	6	6	-2	-2	-2	-2	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	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
χ₅₃	6	-2	6	-2	-2	-2	0	0	6	-2	6	-2	-2	-2	0	0	6	-2	6	-2	-2	-2	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	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
χ₅₄	6	-2	-2	6	-2	-2	0	0	6	-2	-2	6	-2	-2	0	0	6	-2	-2	6	-2	-2	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	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
χ₅₅	6	-2	-2	-2	6	-2	0	0	6	-2	-2	-2	6	-2	0	0	6	-2	-2	-2	6	-2	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	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
χ₅₆	6	-2	-2	-2	-2	6	0	0	6	-2	-2	-2	-2	6	0	0	6	-2	-2	-2	-2	6	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	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	2	2	2	2	2	2	2	2	2	2	2	2	2	2	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	1	1	1	1	1	1	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
χ₅₈	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	2	2	2	2	2	2	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	-2	-2	-2	-2	-2	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	2	2	2	2	2	2	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	-2	-2	-2	-2	-2	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	6	6	-2	-2	-2	-2	0	0	6	6	-2	-2	-2	-2	0	0	-6	-6	2	2	2	2	0	0	-3	-3	1	1	1	1	0	0	-3	-3	1	1	1	1	0	0	3	3	-1	-1	-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
χ₆₁	6	-2	6	-2	-2	-2	0	0	6	-2	6	-2	-2	-2	0	0	-6	2	-6	2	2	2	0	0	-3	1	-3	1	1	1	0	0	-3	1	-3	1	1	1	0	0	3	-1	3	-1	-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
χ₆₂	6	-2	-2	6	-2	-2	0	0	6	-2	-2	6	-2	-2	0	0	-6	2	2	-6	2	2	0	0	-3	1	1	-3	1	1	0	0	-3	1	1	-3	1	1	0	0	3	-1	-1	3	-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
χ₆₃	6	-2	-2	-2	6	-2	0	0	6	-2	-2	-2	6	-2	0	0	-6	2	2	2	-6	2	0	0	-3	1	1	1	-3	1	0	0	-3	1	1	1	-3	1	0	0	3	-1	-1	-1	3	-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
χ₆₄	6	-2	-2	-2	-2	6	0	0	6	-2	-2	-2	-2	6	0	0	-6	2	2	2	2	-6	0	0	-3	1	1	1	1	-3	0	0	-3	1	1	1	1	-3	0	0	3	-1	-1	-1	-1	3	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
χ₆₅	4	4	4	4	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	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
χ₆₆	4	4	4	4	4	4	$- 2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	-2	-2	-2	-2	-2	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	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
χ₆₇	4	4	4	4	4	4	$- 2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	-2	-2	-2	-2	-2	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	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
χ₆₈	12	12	-4	-4	-4	-4	0	0	-6	-6	2	2	2	2	0	0	0	0	0	0	0	0	0	0	-6	-6	2	2	2	2	0	0	3	3	-1	-1	-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	0	0
χ₆₉	12	-4	12	-4	-4	-4	0	0	-6	2	-6	2	2	2	0	0	0	0	0	0	0	0	0	0	-6	2	-6	2	2	2	0	0	3	-1	3	-1	-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	0	0
χ₇₀	12	-4	-4	12	-4	-4	0	0	-6	2	2	-6	2	2	0	0	0	0	0	0	0	0	0	0	-6	2	2	-6	2	2	0	0	3	-1	-1	3	-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	0	0
χ₇₁	12	-4	-4	-4	12	-4	0	0	-6	2	2	2	-6	2	0	0	0	0	0	0	0	0	0	0	-6	2	2	2	-6	2	0	0	3	-1	-1	-1	3	-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	0	0
χ₇₂	12	-4	-4	-4	-4	12	0	0	-6	2	2	2	2	-6	0	0	0	0	0	0	0	0	0	0	-6	2	2	2	2	-6	0	0	3	-1	-1	-1	-1	3	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

Character table — Group #13181839