Group #14517116 — 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
size	1	1	2	2	2	2	4	4	6	6	6	6	6	6	6	6	6	6	6	6	12	12	12	12	12	12	18	18	36	36	36	36	36	36	36	36	54	54	54	54	54	54	54	54	54	54	54	54	54	54	54	54	54	54	162	162	162
order	1	2	3	3	6	6	3	6	3	3	3	3	3	3	6	6	6	6	6	6	3	3	3	6	6	6	3	6	3	3	3	3	6	6	6	6	4	4	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	12	4	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
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
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	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	-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	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1
χ₆	2	2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1
χ₇	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	2	-1	-1	-1	0	2	0	0	2	2	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	0
χ₈	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	2	-1	-1	-1	0	-2	0	0	-2	-2	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0
χ₉	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	2	-1	-1	-1	2	-1	-1	2	0	2	2	0	0	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	2	-1	-1	-1	2	-1	-1	-2	0	-2	-2	0	0	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0
χ₁₁	2	-2	2	2	-2	-2	2	-2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	2	2	2	-2	-2	-2	2	-2	2	2	2	2	-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
χ₁₂	2	-2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$
χ₁₃	2	-2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$
χ₁₄	2	-2	2	2	-2	-2	2	-2	2	2	2	-1	-1	-1	-2	-2	-2	1	1	1	-1	-1	-1	1	1	1	2	-2	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0
χ₁₅	2	-2	2	2	-2	-2	2	-2	2	2	2	-1	-1	-1	-2	-2	-2	1	1	1	-1	-1	-1	1	1	1	2	-2	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0
χ₁₆	2	-2	2	2	-2	-2	2	-2	-1	-1	-1	2	2	2	1	1	1	-2	-2	-2	-1	-1	-1	1	1	1	2	-2	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₁₇	2	-2	2	2	-2	-2	2	-2	-1	-1	-1	2	2	2	1	1	1	-2	-2	-2	-1	-1	-1	1	1	1	2	-2	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₁₈	4	4	4	4	4	4	4	4	4	4	4	-2	-2	-2	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	4	4	4	4	4	4	4	4	-2	-2	-2	4	4	4	-2	-2	-2	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	4	4	-2	-2	1	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
χ₂₁	4	4	4	4	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	-2	-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	0	0	0	0	0
χ₂₂	4	4	4	4	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	-2	-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	0	0	0	0	0
χ₂₃	4	-4	4	4	-4	-4	4	-4	4	4	4	-2	-2	-2	-4	-4	-4	2	2	2	-2	-2	-2	2	2	2	-2	2	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-4	4	4	-4	-4	4	-4	-2	-2	-2	4	4	4	2	2	2	-4	-4	-4	-2	-2	-2	2	2	2	-2	2	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-4	4	4	-4	-4	4	-4	-2	-2	-2	-2	-2	-2	2	2	2	2	2	2	1	1	1	-1	-1	-1	4	-4	-2	-2	1	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
χ₂₆	4	-4	4	4	-4	-4	4	-4	-2	-2	-2	-2	-2	-2	2	2	2	2	2	2	1	1	1	-1	-1	-1	-2	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	0	0	0	0	0
χ₂₇	4	-4	4	4	-4	-4	4	-4	-2	-2	-2	-2	-2	-2	2	2	2	2	2	2	1	1	1	-1	-1	-1	-2	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	0	0	0	0	0
χ₂₈	6	6	6	-3	6	-3	-3	-3	0	0	0	6	-3	-3	0	0	0	6	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1	0	0	0	0	0	0	2	-1	-1	2	-1	-1	0	0	0
χ₂₉	6	6	6	-3	6	-3	-3	-3	0	0	0	6	-3	-3	0	0	0	6	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1	0	0	0	0	0	0	-2	1	1	-2	1	1	0	0	0
χ₃₀	6	6	6	-3	6	-3	-3	-3	0	0	0	-3	6	-3	0	0	0	-3	6	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1	0	0	0	0	0	0	-1	2	-1	-1	2	-1	0	0	0
χ₃₁	6	6	6	-3	6	-3	-3	-3	0	0	0	-3	6	-3	0	0	0	-3	6	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1	0	0	0	0	0	0	1	-2	1	1	-2	1	0	0	0
χ₃₂	6	6	6	-3	6	-3	-3	-3	0	0	0	-3	-3	6	0	0	0	-3	-3	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1	0	0	0	0	0	0	-1	-1	2	-1	-1	2	0	0	0
χ₃₃	6	6	6	-3	6	-3	-3	-3	0	0	0	-3	-3	6	0	0	0	-3	-3	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1	0	0	0	0	0	0	1	1	-2	1	1	-2	0	0	0
χ₃₄	6	6	-3	6	-3	6	-3	-3	6	-3	-3	0	0	0	6	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0	2	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	-3	6	-3	6	-3	-3	6	-3	-3	0	0	0	6	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0	-2	1	1	-2	1	1	0	0	0	0	0	0	0	0	0
χ₃₆	6	6	-3	6	-3	6	-3	-3	-3	6	-3	0	0	0	-3	6	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0	-1	2	-1	-1	2	-1	0	0	0	0	0	0	0	0	0
χ₃₇	6	6	-3	6	-3	6	-3	-3	-3	6	-3	0	0	0	-3	6	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0	1	-2	1	1	-2	1	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	-3	6	-3	6	-3	-3	-3	-3	6	0	0	0	-3	-3	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0	-1	-1	2	-1	-1	2	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-3	6	-3	6	-3	-3	-3	-3	6	0	0	0	-3	-3	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0	1	1	-2	1	1	-2	0	0	0	0	0	0	0	0	0
χ₄₀	6	-6	6	-3	-6	3	-3	3	0	0	0	6	-3	-3	0	0	0	-6	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0
χ₄₁	6	-6	6	-3	-6	3	-3	3	0	0	0	6	-3	-3	0	0	0	-6	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0
χ₄₂	6	-6	6	-3	-6	3	-3	3	0	0	0	-3	6	-3	0	0	0	3	-6	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	$- \sqrt{3}$	0	$\sqrt{3}$	$\sqrt{3}$	0	$- \sqrt{3}$	0	0	0
χ₄₃	6	-6	6	-3	-6	3	-3	3	0	0	0	-3	6	-3	0	0	0	3	-6	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	$\sqrt{3}$	0	$- \sqrt{3}$	$- \sqrt{3}$	0	$\sqrt{3}$	0	0	0
χ₄₄	6	-6	6	-3	-6	3	-3	3	0	0	0	-3	-3	6	0	0	0	3	3	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₄₅	6	-6	6	-3	-6	3	-3	3	0	0	0	-3	-3	6	0	0	0	3	3	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₄₆	6	-6	-3	6	3	-6	-3	3	6	-3	-3	0	0	0	-6	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₄₇	6	-6	-3	6	3	-6	-3	3	6	-3	-3	0	0	0	-6	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₄₈	6	-6	-3	6	3	-6	-3	3	-3	6	-3	0	0	0	3	-6	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	$- \sqrt{3}$	0	$\sqrt{3}$	$\sqrt{3}$	0	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₄₉	6	-6	-3	6	3	-6	-3	3	-3	6	-3	0	0	0	3	-6	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	$\sqrt{3}$	0	$- \sqrt{3}$	$- \sqrt{3}$	0	$\sqrt{3}$	0	0	0	0	0	0	0	0	0
χ₅₀	6	-6	-3	6	3	-6	-3	3	-3	-3	6	0	0	0	3	3	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₅₁	6	-6	-3	6	3	-6	-3	3	-3	-3	6	0	0	0	3	3	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₅₂	12	12	-6	-6	-6	-6	3	3	0	0	0	0	0	0	0	0	0	0	0	0	6	-3	-3	6	-3	-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
χ₅₃	12	12	-6	-6	-6	-6	3	3	0	0	0	0	0	0	0	0	0	0	0	0	-3	6	-3	-3	6	-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
χ₅₄	12	12	-6	-6	-6	-6	3	3	0	0	0	0	0	0	0	0	0	0	0	0	-3	-3	6	-3	-3	6	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	-6	-6	6	6	3	-3	0	0	0	0	0	0	0	0	0	0	0	0	6	-3	-3	-6	3	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
χ₅₆	12	-12	-6	-6	6	6	3	-3	0	0	0	0	0	0	0	0	0	0	0	0	-3	6	-3	3	-6	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
χ₅₇	12	-12	-6	-6	6	6	3	-3	0	0	0	0	0	0	0	0	0	0	0	0	-3	-3	6	3	3	-6	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 #14517116