Group #13181805 — 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
size	1	3	8	8	9	18	24	27	32	32	54	72	72	72	108	108	108	108	1	3	8	8	9	18	24	27	32	32	54	72	72	72	108	108	108	108
order	1	2	3	3	2	4	6	2	3	3	4	6	12	12	4	4	4	4	2	2	6	6	2	4	6	2	6	6	4	6	12	12	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
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
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
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
χ₅	2	2	2	2	-2	0	2	-2	2	2	0	-2	0	0	0	0	0	0	2	2	2	2	-2	0	2	-2	2	2	0	-2	0	0	0	0	0	0
χ₆	2	2	2	-1	2	2	2	2	-1	-1	2	-1	-1	-1	0	0	0	0	2	2	2	-1	2	2	2	2	-1	-1	2	-1	-1	-1	0	0	0	0
χ₇	2	2	2	-1	2	-2	2	2	-1	-1	-2	-1	1	1	0	0	0	0	2	2	2	-1	2	-2	2	2	-1	-1	-2	-1	1	1	0	0	0	0
χ₈	2	2	2	-1	-2	0	2	-2	-1	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	2	2	2	-1	-2	0	2	-2	-1	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₉	2	2	2	-1	-2	0	2	-2	-1	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	2	2	2	-1	-2	0	2	-2	-1	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₁₀	3	-1	3	0	3	3	-1	-1	0	0	-1	0	0	0	1	1	-1	-1	3	-1	3	0	3	3	-1	-1	0	0	-1	0	0	0	1	1	-1	-1
χ₁₁	3	-1	3	0	3	3	-1	-1	0	0	-1	0	0	0	-1	-1	1	1	3	-1	3	0	3	3	-1	-1	0	0	-1	0	0	0	-1	-1	1	1
χ₁₂	3	-1	3	0	3	-3	-1	-1	0	0	1	0	0	0	1	-1	-1	1	3	-1	3	0	3	-3	-1	-1	0	0	1	0	0	0	1	-1	-1	1
χ₁₃	3	-1	3	0	3	-3	-1	-1	0	0	1	0	0	0	-1	1	1	-1	3	-1	3	0	3	-3	-1	-1	0	0	1	0	0	0	-1	1	1	-1
χ₁₄	6	-2	6	0	-6	0	-2	2	0	0	0	0	0	0	0	0	0	0	6	-2	6	0	-6	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₁₅	8	8	-1	8	0	0	-1	0	-1	-1	0	0	0	0	0	0	0	0	8	8	-1	8	0	0	-1	0	-1	-1	0	0	0	0	0	0	0	0
χ₁₆	8	8	-1	-4	0	0	-1	0	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	8	8	-1	-4	0	0	-1	0	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₇	8	8	-1	-4	0	0	-1	0	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	8	8	-1	-4	0	0	-1	0	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₁₈	24	-8	-3	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	24	-8	-3	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
χ₂₁	1	1	1	1	1	-1	1	1	1	1	-1	1	-1	-1	1	-1	1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	1	-1	1	1	-1	1	-1	1
χ₂₂	1	1	1	1	1	-1	1	1	1	1	-1	1	-1	-1	-1	1	-1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	1	-1	1	1	1	-1	1	-1
χ₂₃	2	2	2	2	-2	0	2	-2	2	2	0	-2	0	0	0	0	0	0	-2	-2	-2	-2	2	0	-2	2	-2	-2	0	2	0	0	0	0	0	0
χ₂₄	2	2	2	-1	2	2	2	2	-1	-1	2	-1	-1	-1	0	0	0	0	-2	-2	-2	1	-2	-2	-2	-2	1	1	-2	1	1	1	0	0	0	0
χ₂₅	2	2	2	-1	2	-2	2	2	-1	-1	-2	-1	1	1	0	0	0	0	-2	-2	-2	1	-2	2	-2	-2	1	1	2	1	-1	-1	0	0	0	0
χ₂₆	2	2	2	-1	-2	0	2	-2	-1	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	-2	-2	-2	1	2	0	-2	2	1	1	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₂₇	2	2	2	-1	-2	0	2	-2	-1	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	-2	-2	-2	1	2	0	-2	2	1	1	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₂₈	3	-1	3	0	3	3	-1	-1	0	0	-1	0	0	0	1	1	-1	-1	-3	1	-3	0	-3	-3	1	1	0	0	1	0	0	0	-1	-1	1	1
χ₂₉	3	-1	3	0	3	3	-1	-1	0	0	-1	0	0	0	-1	-1	1	1	-3	1	-3	0	-3	-3	1	1	0	0	1	0	0	0	1	1	-1	-1
χ₃₀	3	-1	3	0	3	-3	-1	-1	0	0	1	0	0	0	1	-1	-1	1	-3	1	-3	0	-3	3	1	1	0	0	-1	0	0	0	-1	1	1	-1
χ₃₁	3	-1	3	0	3	-3	-1	-1	0	0	1	0	0	0	-1	1	1	-1	-3	1	-3	0	-3	3	1	1	0	0	-1	0	0	0	1	-1	-1	1
χ₃₂	6	-2	6	0	-6	0	-2	2	0	0	0	0	0	0	0	0	0	0	-6	2	-6	0	6	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	8	-1	8	0	0	-1	0	-1	-1	0	0	0	0	0	0	0	0	-8	-8	1	-8	0	0	1	0	1	1	0	0	0	0	0	0	0	0
χ₃₄	8	8	-1	-4	0	0	-1	0	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	-8	-8	1	4	0	0	1	0	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₃₅	8	8	-1	-4	0	0	-1	0	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	-8	-8	1	4	0	0	1	0	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0
χ₃₆	24	-8	-3	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	-24	8	3	0	0	0	-1	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13181805