Finite Group Databasebeta

← Group #13062002

Character table — Group #13062002

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
size	1	1	2	42	42	42	42	48	48	48	48	56	56	56	56	84	84	84	84	84	112	112	112
order	1	2	4	2	4	8	8	7	14	28	28	2	2	3	6	8	16	16	16	16	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
χ₂	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
χ₄	1	1	-1	-1	1	1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	-1
χ₅	6	6	6	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0
χ₆	6	6	6	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	2	-1	-1	-1	-1	0	0	0	0	2	0	0	0	0	0	0	0
χ₈	6	6	-6	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	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	0	0	-1	-1	1	1	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0
χ₁₁	7	7	7	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	-1	-1	-1	1	1	1
χ₁₂	7	7	7	-1	-1	-1	-1	0	0	0	0	-1	-1	1	1	-1	1	1	1	1	-1	-1	1
χ₁₃	7	7	-7	1	-1	-1	-1	0	0	0	0	1	-1	1	1	1	-1	-1	1	1	1	-1	-1
χ₁₄	7	7	-7	1	-1	-1	-1	0	0	0	0	-1	1	1	1	1	1	1	-1	-1	-1	1	-1
χ₁₅	8	8	8	0	0	0	0	1	1	1	1	2	2	-1	-1	0	0	0	0	0	-1	-1	-1
χ₁₆	8	8	8	0	0	0	0	1	1	1	1	-2	-2	-1	-1	0	0	0	0	0	1	1	-1
χ₁₇	8	8	-8	0	0	0	0	1	1	-1	-1	2	-2	-1	-1	0	0	0	0	0	-1	1	1
χ₁₈	8	8	-8	0	0	0	0	1	1	-1	-1	-2	2	-1	-1	0	0	0	0	0	1	-1	1
χ₁₉	8	-8	0	0	0	0	0	1	-1	$\sqrt{7}$	$- \sqrt{7}$	0	0	2	-2	0	0	0	0	0	0	0	0
χ₂₀	8	-8	0	0	0	0	0	1	-1	$- \sqrt{7}$	$\sqrt{7}$	0	0	2	-2	0	0	0	0	0	0	0	0
χ₂₁	12	-12	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	12	-12	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	16	-16	0	0	0	0	0	2	-2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0