Finite Group Databasebeta

← Group #10621672

Character table — Group #10621672

Order 672.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈
size	1	21	28	42	42	42	48	56	56	1	21	28	42	42	42	48	56	56
order	1	2	2	4	8	8	7	3	6	2	2	2	4	8	8	14	6	6
χ₁	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
χ₃	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0
χ₄	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0
χ₅	6	-2	0	2	0	0	-1	0	0	6	-2	0	2	0	0	-1	0	0
χ₆	7	-1	1	-1	-1	-1	0	1	1	7	-1	1	-1	-1	-1	0	1	1
χ₇	7	-1	-1	-1	1	1	0	1	-1	7	-1	-1	-1	1	1	0	1	-1
χ₈	8	0	2	0	0	0	1	-1	-1	8	0	2	0	0	0	1	-1	-1
χ₉	8	0	-2	0	0	0	1	-1	1	8	0	-2	0	0	0	1	-1	1
χ₁₀	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₁	1	1	-1	1	-1	-1	1	1	-1	-1	-1	1	-1	1	1	-1	-1	1
χ₁₂	6	2	0	0	$\sqrt{2}$	$- \sqrt{2}$	-1	0	0	-6	-2	0	0	$- \sqrt{2}$	$\sqrt{2}$	1	0	0
χ₁₃	6	2	0	0	$- \sqrt{2}$	$\sqrt{2}$	-1	0	0	-6	-2	0	0	$\sqrt{2}$	$- \sqrt{2}$	1	0	0
χ₁₄	6	-2	0	2	0	0	-1	0	0	-6	2	0	-2	0	0	1	0	0
χ₁₅	7	-1	1	-1	-1	-1	0	1	1	-7	1	-1	1	1	1	0	-1	-1
χ₁₆	7	-1	-1	-1	1	1	0	1	-1	-7	1	1	1	-1	-1	0	-1	1
χ₁₇	8	0	2	0	0	0	1	-1	-1	-8	0	-2	0	0	0	-1	1	1
χ₁₈	8	0	-2	0	0	0	1	-1	1	-8	0	2	0	0	0	-1	1	-1