Group #72267055 — 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	C₅₈	C₅₉
size	1	1	2	4	8	8	12	12	16	24	24	24	24	48	48	48	48	96	96	96	96	96	96	96	96	96	128	128	128	128	192	192	192	192	192	192	192	192	192	192	192	256	256	256	384	384	384	384	384	384	512	512	512	512	512	512	768	768	768
order	1	2	2	2	2	2	2	2	4	2	2	4	4	2	4	4	4	2	2	2	4	4	8	8	8	8	3	4	4	6	2	4	4	4	4	4	4	4	4	8	8	6	6	6	4	4	4	4	8	8	6	12	12	12	12	12	4	8	8
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	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	-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	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	-1	-1
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	2	2	2	0	0	0	0	-1	2	2	-1	0	0	0	2	2	0	0	0	0	0	0	-1	-1	-1	2	2	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	0	2	2	2	0	0	0	0	-1	-2	-2	-1	0	0	0	2	2	0	0	0	0	0	0	-1	-1	-1	-2	-2	0	0	0	0	-1	-1	1	1	1	1	0	0	0
χ₇	2	2	2	2	-2	-2	2	2	-2	-2	-2	2	2	2	-2	2	2	0	0	2	2	2	0	0	0	0	2	0	0	2	0	0	0	-2	-2	0	0	0	0	0	0	2	-2	-2	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0
χ₈	2	2	2	2	-2	-2	2	2	-2	-2	-2	2	2	2	-2	2	2	0	0	2	2	2	0	0	0	0	-1	0	0	-1	0	0	0	-2	-2	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0	-1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0
χ₉	2	2	2	2	-2	-2	2	2	-2	-2	-2	2	2	2	-2	2	2	0	0	2	2	2	0	0	0	0	-1	0	0	-1	0	0	0	-2	-2	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0	-1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0
χ₁₀	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	1	1	-1	-1	-1	1	1	1	1	0	3	3	0	1	1	1	-1	-1	1	1	1	1	1	1	0	0	0	-1	-1	1	1	-1	-1	0	0	0	0	0	0	-1	-1	-1
χ₁₁	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	0	-3	-3	0	-1	-1	1	-1	-1	1	1	-1	-1	-1	-1	0	0	0	1	1	1	1	-1	-1	0	0	0	0	0	0	-1	1	1
χ₁₂	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	-3	-3	0	1	1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	1	1	-1	-1	1	1	0	0	0	0	0	0	1	-1	-1
χ₁₃	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	3	3	0	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	-1	-1	-1	-1	1	1	0	0	0	0	0	0	1	1	1
χ₁₄	4	4	4	-4	4	4	-4	4	-4	0	0	0	0	0	0	0	0	2	2	0	0	0	2	2	-2	-2	1	2	-2	1	0	0	-2	0	0	2	-2	0	0	2	-2	1	1	1	0	0	0	0	0	0	-1	-1	1	-1	1	-1	0	0	0
χ₁₅	4	4	4	-4	4	4	-4	4	-4	0	0	0	0	0	0	0	0	2	2	0	0	0	-2	-2	2	2	1	-2	2	1	0	0	-2	0	0	2	-2	0	0	-2	2	1	1	1	0	0	0	0	0	0	-1	-1	-1	1	-1	1	0	0	0
χ₁₆	4	4	4	-4	4	4	-4	4	-4	0	0	0	0	0	0	0	0	-2	-2	0	0	0	2	2	-2	-2	1	-2	2	1	0	0	2	0	0	-2	2	0	0	2	-2	1	1	1	0	0	0	0	0	0	-1	-1	-1	1	-1	1	0	0	0
χ₁₇	4	4	4	-4	4	4	-4	4	-4	0	0	0	0	0	0	0	0	-2	-2	0	0	0	-2	-2	2	2	1	2	-2	1	0	0	2	0	0	-2	2	0	0	-2	2	1	1	1	0	0	0	0	0	0	-1	-1	1	-1	1	-1	0	0	0
χ₁₈	6	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	2	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	-2	2	2	2	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	6	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	-2	2	-2	-2	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	6	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	-2	0	0	-2	2	2	2	2	2	2	0	0	0	0	-2	-2	0	2	-2	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	6	6	6	6	6	6	6	6	6	-2	-2	-2	-2	-2	-2	-2	-2	0	0	-2	2	2	-2	-2	-2	-2	0	0	0	0	2	2	0	2	-2	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	6	6	6	6	-6	-6	6	6	-6	2	2	-2	-2	-2	2	2	2	0	0	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	-2	0	0
χ₂₃	6	6	6	6	-6	-6	6	6	-6	2	2	-2	-2	-2	2	2	2	0	0	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	2	0	0
χ₂₄	6	6	6	6	-6	-6	6	6	-6	2	2	-2	-2	-2	2	-2	-2	0	0	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2
χ₂₅	6	6	6	6	-6	-6	6	6	-6	2	2	-2	-2	-2	2	-2	-2	0	0	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2
χ₂₆	6	6	6	6	-6	-6	6	6	-6	-6	-6	6	6	6	-6	-2	-2	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	8	8	8	-8	8	8	-8	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	4	-4	-1	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	1	1	-1	1	-1	1	0	0	0
χ₂₈	8	8	8	-8	8	8	-8	8	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-4	4	-1	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	1	1	1	-1	1	-1	0	0	0
χ₂₉	8	8	8	-8	-8	-8	-8	8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	2	0	0	0	0	0	0	0	0	0	0	0	2	-2	-2	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0
χ₃₀	8	8	8	-8	-8	-8	-8	8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0
χ₃₁	8	8	8	-8	-8	-8	-8	8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	-1	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	0	0	0	0	0	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0
χ₃₂	8	8	-8	0	4	-4	0	0	0	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	4	-4	2	0	0	2	2	-2	0	0	0	0	0	2	-2	0	0	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	8	-8	0	4	-4	0	0	0	4	-4	-4	4	0	0	0	0	0	0	0	0	0	0	0	-4	4	2	0	0	2	-2	2	0	0	0	0	0	-2	2	0	0	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	8	-8	0	-4	4	0	0	0	-4	4	-4	4	0	0	0	0	0	0	0	0	0	4	-4	0	0	2	0	0	2	2	-2	0	0	0	0	0	-2	2	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	8	-8	0	-4	4	0	0	0	-4	4	-4	4	0	0	0	0	0	0	0	0	0	-4	4	0	0	2	0	0	2	-2	2	0	0	0	0	0	2	-2	0	0	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	12	12	12	0	0	-4	-4	0	0	0	4	4	-4	0	4	4	0	0	-4	0	0	2	2	2	2	0	0	0	0	-2	-2	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	12	12	12	12	0	0	-4	-4	0	0	0	4	4	-4	0	4	4	0	0	-4	0	0	-2	-2	-2	-2	0	0	0	0	2	2	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	12	12	12	12	0	0	-4	-4	0	0	0	4	4	-4	0	-4	-4	0	0	4	0	0	2	2	2	2	0	0	0	0	2	2	0	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	12	12	12	12	0	0	-4	-4	0	0	0	4	4	-4	0	-4	-4	0	0	4	0	0	-2	-2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	12	12	12	12	0	0	-4	-4	0	0	0	-4	-4	4	0	0	0	2	2	0	4	-4	0	0	0	0	0	0	0	0	0	0	2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	12	12	12	12	0	0	-4	-4	0	0	0	-4	-4	4	0	0	0	2	2	0	-4	4	0	0	0	0	0	0	0	0	0	0	2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	12	12	12	12	0	0	-4	-4	0	0	0	-4	-4	4	0	0	0	-2	-2	0	4	-4	0	0	0	0	0	0	0	0	0	0	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	12	12	12	12	0	0	-4	-4	0	0	0	-4	-4	4	0	0	0	-2	-2	0	-4	4	0	0	0	0	0	0	0	0	0	0	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	12	12	12	-12	0	0	4	-4	0	4	4	0	0	0	-4	0	0	2	2	0	0	0	2	2	-2	-2	0	0	0	0	0	0	-2	0	0	-2	2	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	12	12	12	-12	0	0	4	-4	0	4	4	0	0	0	-4	0	0	2	2	0	0	0	-2	-2	2	2	0	0	0	0	0	0	-2	0	0	-2	2	0	0	2	-2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	12	12	12	-12	0	0	4	-4	0	4	4	0	0	0	-4	0	0	-2	-2	0	0	0	2	2	-2	-2	0	0	0	0	0	0	2	0	0	2	-2	0	0	-2	2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	12	12	12	-12	0	0	4	-4	0	4	4	0	0	0	-4	0	0	-2	-2	0	0	0	-2	-2	2	2	0	0	0	0	0	0	2	0	0	2	-2	0	0	2	-2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	16	16	-16	0	8	-8	0	0	0	8	-8	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	16	16	-16	0	-8	8	0	0	0	-8	8	-8	8	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	16	-16	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	0	0	0	0	0	0	0	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0
χ₅₁	16	-16	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	0	0	0	0	0	0	0	4	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0
χ₅₂	24	24	24	-24	0	0	8	-8	0	-8	-8	0	0	0	8	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	0	0	0	0	0	0	0	0	0	0
χ₅₃	24	24	-24	0	12	-12	0	0	0	-4	4	4	-4	0	0	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	0	-2	2	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	24	24	-24	0	12	-12	0	0	0	-4	4	4	-4	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	0	2	-2	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	24	24	-24	0	-12	12	0	0	0	4	-4	4	-4	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	0	0	0	-2	2	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	24	24	-24	0	-12	12	0	0	0	4	-4	4	-4	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	0	0	0	2	-2	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	32	-32	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	0	-4	0	0	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
χ₅₈	48	-48	0	0	0	0	0	0	0	0	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	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0
χ₅₉	48	-48	0	0	0	0	0	0	0	0	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	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0

Character table — Group #72267055