Finite Group Databasebeta

← Group #11759710

Character table — Group #11759710

Order 1008.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅
size	1	2	21	42	42	48	48	48	56	84	84	112	126	126	168
order	1	3	2	4	6	7	21	21	3	2	12	3	8	8	6
χ₁	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
χ₃	2	-1	2	2	-1	2	-1	-1	2	0	-1	-1	0	0	0
χ₄	6	6	2	0	2	-1	-1	-1	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0
χ₅	6	6	2	0	2	-1	-1	-1	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0
χ₆	6	6	-2	2	-2	-1	-1	-1	0	0	2	0	0	0	0
χ₇	6	-3	-2	2	1	-1	$\frac{1 + \sqrt{21}}{2}$	$\frac{1 - \sqrt{21}}{2}$	0	0	-1	0	0	0	0
χ₈	6	-3	-2	2	1	-1	$\frac{1 - \sqrt{21}}{2}$	$\frac{1 + \sqrt{21}}{2}$	0	0	-1	0	0	0	0
χ₉	7	7	-1	-1	-1	0	0	0	1	1	-1	1	-1	-1	1
χ₁₀	7	7	-1	-1	-1	0	0	0	1	-1	-1	1	1	1	-1
χ₁₁	8	8	0	0	0	1	1	1	-1	2	0	-1	0	0	-1
χ₁₂	8	8	0	0	0	1	1	1	-1	-2	0	-1	0	0	1
χ₁₃	12	-6	4	0	-2	-2	1	1	0	0	0	0	0	0	0
χ₁₄	14	-7	-2	-2	1	0	0	0	2	0	1	-1	0	0	0
χ₁₅	16	-8	0	0	0	2	-1	-1	-2	0	0	1	0	0	0