Group #89111 — 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
size	1	2	8	8	8	9	18	18	18	18	54	54	1	2	8	8	8	9	18	18	18	18	54	54
order	1	3	3	3	3	2	4	6	12	12	4	4	2	6	6	6	6	2	4	6	12	12	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
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
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
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
χ₅	2	2	2	2	2	-2	0	-2	0	0	0	0	2	2	2	2	2	-2	0	-2	0	0	0	0
χ₆	2	-1	2	-1	-1	2	2	-1	-1	-1	0	0	2	-1	2	-1	-1	2	2	-1	-1	-1	0	0
χ₇	2	-1	2	-1	-1	2	-2	-1	1	1	0	0	2	-1	2	-1	-1	2	-2	-1	1	1	0	0
χ₈	2	-1	2	-1	-1	-2	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	2	-1	2	-1	-1	-2	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₉	2	-1	2	-1	-1	-2	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	2	-1	2	-1	-1	-2	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₁₀	8	8	-1	-1	-1	0	0	0	0	0	0	0	8	8	-1	-1	-1	0	0	0	0	0	0	0
χ₁₁	8	-4	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	8	-4	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0
χ₁₂	8	-4	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	8	-4	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0
χ₁₃	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₄	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₁₅	1	1	1	1	1	1	-1	1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	1	-1	1	1	-1	1
χ₁₆	1	1	1	1	1	1	-1	1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	-1	1	1	1	-1
χ₁₇	2	2	2	2	2	-2	0	-2	0	0	0	0	-2	-2	-2	-2	-2	2	0	2	0	0	0	0
χ₁₈	2	-1	2	-1	-1	2	2	-1	-1	-1	0	0	-2	1	-2	1	1	-2	-2	1	1	1	0	0
χ₁₉	2	-1	2	-1	-1	2	-2	-1	1	1	0	0	-2	1	-2	1	1	-2	2	1	-1	-1	0	0
χ₂₀	2	-1	2	-1	-1	-2	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	-2	1	-2	1	1	2	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₂₁	2	-1	2	-1	-1	-2	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	-2	1	-2	1	1	2	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₂₂	8	8	-1	-1	-1	0	0	0	0	0	0	0	-8	-8	1	1	1	0	0	0	0	0	0	0
χ₂₃	8	-4	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	-8	4	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0
χ₂₄	8	-4	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	-8	4	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0

Character table — Group #89111