Group #13166070 — 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
size	1	2	2	3	4	6	6	6	6	6	6	6	6	12	12	12	12	12	12	12	32	36	36	36	36	36	64	64	64	64	72	72	72	72	72	72	72	72	72	72	108	288
order	1	3	3	2	3	4	4	6	6	12	12	12	12	6	12	12	12	12	12	12	3	2	2	2	4	4	3	3	3	3	6	6	8	8	12	12	24	24	24	24	2	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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	0	0	2	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	2	-1
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	0	0	-2	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	-2	1
χ₇	2	2	-1	2	-1	2	2	2	-1	2	2	-1	-1	-1	2	-1	-1	-1	-1	-1	2	0	2	0	0	2	2	-1	-1	-1	0	-1	0	2	0	-1	0	0	-1	-1	0	0
χ₈	2	2	-1	2	-1	2	2	2	-1	2	2	-1	-1	-1	2	-1	-1	-1	-1	-1	2	0	-2	0	0	-2	2	-1	-1	-1	0	1	0	-2	0	1	0	0	1	1	0	0
χ₉	2	-1	2	2	-1	2	2	-1	2	-1	-1	2	2	-1	-1	2	-1	-1	-1	-1	2	2	0	0	2	0	-1	2	-1	-1	-1	0	2	0	-1	0	-1	-1	0	0	0	0
χ₁₀	2	-1	2	2	-1	2	2	-1	2	-1	-1	2	2	-1	-1	2	-1	-1	-1	-1	2	-2	0	0	-2	0	-1	2	-1	-1	1	0	-2	0	1	0	1	1	0	0	0	0
χ₁₁	3	3	3	3	3	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	0	1	1	3	1	1	0	0	0	0	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	0
χ₁₂	3	3	3	3	3	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	0	1	-1	-3	1	-1	0	0	0	0	1	-1	-1	1	1	-1	-1	-1	1	1	1	0
χ₁₃	3	3	3	3	3	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	0	-1	1	-3	-1	1	0	0	0	0	-1	1	1	-1	-1	1	1	1	-1	-1	1	0
χ₁₄	3	3	3	3	3	-1	-1	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	0	-1	-1	3	-1	-1	0	0	0	0	-1	-1	1	1	-1	-1	1	1	1	1	-1	0
χ₁₅	4	4	-2	4	-2	4	4	4	-2	4	4	-2	-2	-2	4	-2	-2	-2	-2	-2	-2	0	0	0	0	0	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	-2	4	4	-2	4	4	-2	4	-2	-2	4	4	-2	-2	4	-2	-2	-2	-2	-2	0	0	0	0	0	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	-2	-2	4	1	4	4	-2	-2	-2	-2	-2	-2	1	-2	-2	1	1	1	1	4	0	0	0	0	0	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	4	-2	-2	4	1	4	4	-2	-2	-2	-2	-2	-2	1	-2	-2	1	1	1	1	-2	0	0	0	0	0	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
χ₁₉	4	-2	-2	4	1	4	4	-2	-2	-2	-2	-2	-2	1	-2	-2	1	1	1	1	-2	0	0	0	0	0	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
χ₂₀	6	6	6	-2	6	2	-2	-2	-2	2	2	-2	-2	-2	-2	2	2	2	-2	-2	0	0	2	0	0	-2	0	0	0	0	0	2	0	0	0	-2	0	0	0	0	0	0
χ₂₁	6	6	6	-2	6	2	-2	-2	-2	2	2	-2	-2	-2	-2	2	2	2	-2	-2	0	0	-2	0	0	2	0	0	0	0	0	-2	0	0	0	2	0	0	0	0	0	0
χ₂₂	6	6	6	-2	6	-2	2	-2	-2	-2	-2	2	2	-2	2	-2	-2	-2	2	2	0	2	0	0	-2	0	0	0	0	0	2	0	0	0	-2	0	0	0	0	0	0	0
χ₂₃	6	6	6	-2	6	-2	2	-2	-2	-2	-2	2	2	-2	2	-2	-2	-2	2	2	0	-2	0	0	2	0	0	0	0	0	-2	0	0	0	2	0	0	0	0	0	0	0
χ₂₄	6	6	-3	6	-3	-2	-2	6	-3	-2	-2	1	1	-3	-2	1	1	1	1	1	0	0	2	0	0	2	0	0	0	0	0	-1	0	-2	0	-1	0	0	1	1	0	0
χ₂₅	6	6	-3	6	-3	-2	-2	6	-3	-2	-2	1	1	-3	-2	1	1	1	1	1	0	0	-2	0	0	-2	0	0	0	0	0	1	0	2	0	1	0	0	-1	-1	0	0
χ₂₆	6	6	-3	-2	-3	2	-2	-2	1	2	2	$1 + 2 \sqrt{3}$	$1 - 2 \sqrt{3}$	1	-2	-1	-1	-1	$1 + 2 \sqrt{3}$	$1 - 2 \sqrt{3}$	0	0	2	0	0	-2	0	0	0	0	0	-1	0	0	0	1	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₂₇	6	6	-3	-2	-3	2	-2	-2	1	2	2	$1 + 2 \sqrt{3}$	$1 - 2 \sqrt{3}$	1	-2	-1	-1	-1	$1 + 2 \sqrt{3}$	$1 - 2 \sqrt{3}$	0	0	-2	0	0	2	0	0	0	0	0	1	0	0	0	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₂₈	6	6	-3	-2	-3	2	-2	-2	1	2	2	$1 - 2 \sqrt{3}$	$1 + 2 \sqrt{3}$	1	-2	-1	-1	-1	$1 - 2 \sqrt{3}$	$1 + 2 \sqrt{3}$	0	0	2	0	0	-2	0	0	0	0	0	-1	0	0	0	1	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₂₉	6	6	-3	-2	-3	2	-2	-2	1	2	2	$1 - 2 \sqrt{3}$	$1 + 2 \sqrt{3}$	1	-2	-1	-1	-1	$1 - 2 \sqrt{3}$	$1 + 2 \sqrt{3}$	0	0	-2	0	0	2	0	0	0	0	0	1	0	0	0	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₃₀	6	-3	6	6	-3	-2	-2	-3	6	1	1	-2	-2	-3	1	-2	1	1	1	1	0	2	0	0	2	0	0	0	0	0	-1	0	-2	0	-1	0	1	1	0	0	0	0
χ₃₁	6	-3	6	6	-3	-2	-2	-3	6	1	1	-2	-2	-3	1	-2	1	1	1	1	0	-2	0	0	-2	0	0	0	0	0	1	0	2	0	1	0	-1	-1	0	0	0	0
χ₃₂	6	-3	6	-2	-3	-2	2	1	-2	$1 + 2 \sqrt{3}$	$1 - 2 \sqrt{3}$	2	2	1	-1	-2	$1 + 2 \sqrt{3}$	$1 - 2 \sqrt{3}$	-1	-1	0	2	0	0	-2	0	0	0	0	0	-1	0	0	0	1	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₃₃	6	-3	6	-2	-3	-2	2	1	-2	$1 + 2 \sqrt{3}$	$1 - 2 \sqrt{3}$	2	2	1	-1	-2	$1 + 2 \sqrt{3}$	$1 - 2 \sqrt{3}$	-1	-1	0	-2	0	0	2	0	0	0	0	0	1	0	0	0	-1	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₃₄	6	-3	6	-2	-3	-2	2	1	-2	$1 - 2 \sqrt{3}$	$1 + 2 \sqrt{3}$	2	2	1	-1	-2	$1 - 2 \sqrt{3}$	$1 + 2 \sqrt{3}$	-1	-1	0	2	0	0	-2	0	0	0	0	0	-1	0	0	0	1	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₃₅	6	-3	6	-2	-3	-2	2	1	-2	$1 - 2 \sqrt{3}$	$1 + 2 \sqrt{3}$	2	2	1	-1	-2	$1 - 2 \sqrt{3}$	$1 + 2 \sqrt{3}$	-1	-1	0	-2	0	0	2	0	0	0	0	0	1	0	0	0	-1	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₃₆	12	12	-6	-4	-6	-4	4	-4	2	-4	-4	-2	-2	2	4	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	0
χ₃₇	12	-6	12	-4	-6	4	-4	2	-4	-2	-2	-4	-4	2	2	4	-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	0
χ₃₈	12	-6	-6	12	3	-4	-4	-6	-6	2	2	2	2	3	2	2	-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
χ₃₉	12	-6	-6	-4	3	4	-4	2	2	-2	-2	$2 + 4 \sqrt{3}$	$2 - 4 \sqrt{3}$	-1	2	-2	1	1	$- 1 - 2 \sqrt{3}$	$- 1 + 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	12	-6	-6	-4	3	4	-4	2	2	-2	-2	$2 - 4 \sqrt{3}$	$2 + 4 \sqrt{3}$	-1	2	-2	1	1	$- 1 + 2 \sqrt{3}$	$- 1 - 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	12	-6	-6	-4	3	-4	4	2	2	$2 + 4 \sqrt{3}$	$2 - 4 \sqrt{3}$	-2	-2	-1	-2	2	$- 1 - 2 \sqrt{3}$	$- 1 + 2 \sqrt{3}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	12	-6	-6	-4	3	-4	4	2	2	$2 - 4 \sqrt{3}$	$2 + 4 \sqrt{3}$	-2	-2	-1	-2	2	$- 1 + 2 \sqrt{3}$	$- 1 - 2 \sqrt{3}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13166070