Group #72226631 — 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
size	1	1	3	3	3	3	3	3	6	6	8	12	12	12	12	12	12	12	12	24	24	24	24	24	48	48	48	48	48	48	48	48	48	48	48	48	48	48	48	48	128	128	128	128
order	1	2	2	2	2	2	2	2	2	2	4	2	2	2	2	4	4	4	4	2	2	4	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	3	6	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
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
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
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
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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₇	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0
χ₈	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0
χ₉	3	3	3	3	3	3	3	3	3	3	-3	1	1	1	1	-1	-1	-1	-1	1	1	-3	-1	-1	1	-1	1	1	-1	-1	1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0
χ₁₀	3	3	3	3	3	3	3	3	3	3	-3	1	1	1	1	-1	-1	-1	-1	1	1	-3	-1	-1	-1	1	-1	-1	1	1	-1	1	1	1	1	1	-1	-1	-1	-1	0	0	0	0
χ₁₁	3	3	3	-1	-1	-1	-1	3	-1	-1	3	3	3	-1	-1	3	3	-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
χ₁₂	3	3	3	-1	-1	-1	-1	3	-1	-1	3	3	3	-1	-1	3	3	-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
χ₁₃	3	3	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	3	3	-1	-1	3	3	-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
χ₁₄	3	3	3	-1	-1	-1	-1	3	-1	-1	3	-1	-1	3	3	-1	-1	3	3	-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
χ₁₅	3	3	3	-1	-1	-1	-1	3	-1	-1	-3	1	1	-3	-3	-1	-1	3	3	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
χ₁₆	3	3	3	-1	-1	-1	-1	3	-1	-1	-3	1	1	-3	-3	-1	-1	3	3	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
χ₁₇	3	3	3	-1	-1	-1	-1	3	-1	-1	-3	-3	-3	1	1	3	3	-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
χ₁₈	3	3	3	-1	-1	-1	-1	3	-1	-1	-3	-3	-3	1	1	3	3	-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
χ₁₉	4	-4	4	4	4	-4	-4	-4	4	-4	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	1	-1	$\sqrt{3}$	$- \sqrt{3}$
χ₂₀	4	-4	4	4	4	-4	-4	-4	4	-4	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	1	-1	$- \sqrt{3}$	$\sqrt{3}$
χ₂₁	4	-4	4	4	4	-4	-4	-4	4	-4	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	-2	2	0	0
χ₂₂	6	6	6	-2	-2	-2	-2	6	-2	-2	6	-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
χ₂₃	6	6	6	-2	-2	-2	-2	6	-2	-2	-6	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
χ₂₄	6	6	-2	6	-2	6	-2	-2	-2	-2	0	0	0	0	0	2	-2	2	-2	0	0	0	2	-2	0	2	0	0	2	-2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	6	-2	6	-2	6	-2	-2	-2	-2	0	0	0	0	0	2	-2	2	-2	0	0	0	2	-2	0	-2	0	0	-2	2	0	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	6	-2	6	-2	6	-2	-2	-2	-2	0	0	0	0	0	-2	2	-2	2	0	0	0	-2	2	2	0	2	-2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	-2	6	-2	6	-2	-2	-2	-2	0	0	0	0	0	-2	2	-2	2	0	0	0	-2	2	-2	0	-2	2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	-2	-2	6	-2	6	-2	-2	-2	0	0	0	0	0	2	-2	2	-2	0	0	0	-2	2	0	2	0	0	-2	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	6	-2	-2	6	-2	6	-2	-2	-2	0	0	0	0	0	2	-2	2	-2	0	0	0	-2	2	0	-2	0	0	2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	6	-2	-2	6	-2	6	-2	-2	-2	0	0	0	0	0	-2	2	-2	2	0	0	0	2	-2	2	0	-2	2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	6	-2	-2	6	-2	6	-2	-2	-2	0	0	0	0	0	-2	2	-2	2	0	0	0	2	-2	-2	0	2	-2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	-6	-2	6	-2	-6	2	2	-2	2	0	2	-2	2	-2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₃₃	6	-6	-2	6	-2	-6	2	2	-2	2	0	2	-2	2	-2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₃₄	6	-6	-2	6	-2	-6	2	2	-2	2	0	-2	2	-2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₃₅	6	-6	-2	6	-2	-6	2	2	-2	2	0	-2	2	-2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₃₆	6	-6	-2	-2	6	2	-6	2	-2	2	0	2	-2	2	-2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₃₇	6	-6	-2	-2	6	2	-6	2	-2	2	0	2	-2	2	-2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₃₈	6	-6	-2	-2	6	2	-6	2	-2	2	0	-2	2	-2	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₃₉	6	-6	-2	-2	6	2	-6	2	-2	2	0	-2	2	-2	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₄₀	12	12	-4	-4	-4	-4	-4	-4	4	4	0	0	0	0	0	4	-4	-4	4	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
χ₄₁	12	12	-4	-4	-4	-4	-4	-4	4	4	0	0	0	0	0	-4	4	4	-4	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
χ₄₂	12	-12	12	-4	-4	4	4	-12	-4	4	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
χ₄₃	12	-12	-4	-4	-4	4	4	4	4	-4	0	4	-4	-4	4	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
χ₄₄	12	-12	-4	-4	-4	4	4	4	4	-4	0	-4	4	4	-4	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 #72226631