Finite Group Databasebeta

← Group #13062006

Character table — Group #13062006

Order 1344.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄
size	1	1	2	21	21	42	42	42	48	48	48	48	56	56	56	56	84	84	84	84	84	112	112	112
order	1	2	2	2	2	2	4	4	7	14	14	14	2	3	4	6	4	8	8	8	8	6	6	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
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
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
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
χ₅	2	-2	0	-2	2	0	2	-2	2	-2	0	0	0	2	0	-2	0	0	0	0	0	0	0	0
χ₆	6	6	6	2	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0
χ₇	6	6	6	2	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0
χ₈	6	6	6	-2	-2	-2	2	2	-1	-1	-1	-1	0	0	0	0	2	0	0	0	0	0	0	0
χ₉	6	6	-6	2	2	-2	0	0	-1	-1	1	1	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0
χ₁₀	6	6	-6	2	2	-2	0	0	-1	-1	1	1	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0
χ₁₁	6	6	-6	-2	-2	2	2	2	-1	-1	1	1	0	0	0	0	-2	0	0	0	0	0	0	0
χ₁₂	6	-6	0	2	-2	0	2	-2	-1	1	$i \sqrt{7}$	$- i \sqrt{7}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₃	6	-6	0	2	-2	0	2	-2	-1	1	$- i \sqrt{7}$	$i \sqrt{7}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₄	7	7	7	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	-1	-1	-1	1	1	1
χ₁₅	7	7	7	-1	-1	-1	-1	-1	0	0	0	0	-1	1	-1	1	-1	1	1	1	1	1	-1	-1
χ₁₆	7	7	-7	-1	-1	1	-1	-1	0	0	0	0	1	1	-1	1	1	-1	-1	1	1	-1	1	-1
χ₁₇	7	7	-7	-1	-1	1	-1	-1	0	0	0	0	-1	1	1	1	1	1	1	-1	-1	-1	-1	1
χ₁₈	8	8	8	0	0	0	0	0	1	1	1	1	2	-1	2	-1	0	0	0	0	0	-1	-1	-1
χ₁₉	8	8	8	0	0	0	0	0	1	1	1	1	-2	-1	-2	-1	0	0	0	0	0	-1	1	1
χ₂₀	8	8	-8	0	0	0	0	0	1	1	-1	-1	2	-1	-2	-1	0	0	0	0	0	1	-1	1
χ₂₁	8	8	-8	0	0	0	0	0	1	1	-1	-1	-2	-1	2	-1	0	0	0	0	0	1	1	-1
χ₂₂	12	-12	0	-4	4	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	14	-14	0	2	-2	0	-2	2	0	0	0	0	0	2	0	-2	0	0	0	0	0	0	0	0
χ₂₄	16	-16	0	0	0	0	0	0	2	-2	0	0	0	-2	0	2	0	0	0	0	0	0	0	0

Here i is the imaginary unit (i² = −1).