Group #4913 — 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
size	1	1	2	2	2	2	2	2	2	8	8	2	2	4	4	4	4	4	4	4	16	16	3	3	6	6	6	6	6	6	6	24	24
order	1	2	4	8	8	16	16	16	16	2	4	3	6	12	24	24	48	48	48	48	6	12	2	2	4	8	8	16	16	16	16	2	4
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
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
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
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
χ₅	2	2	2	-2	-2	0	0	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0
χ₆	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₇	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₈	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ+ζ⁷	−ζ−ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ+ζ⁷	−ζ−ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ+ζ⁷	−ζ−ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	0	0
χ₉	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ−ζ⁷	ζ+ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ−ζ⁷	ζ+ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ−ζ⁷	ζ+ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	0	0
χ₁₀	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ³+ζ⁵	−ζ³−ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ³+ζ⁵	−ζ³−ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ³+ζ⁵	−ζ³−ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	0	0
χ₁₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ³−ζ⁵	ζ³+ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ³−ζ⁵	ζ³+ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ³−ζ⁵	ζ³+ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	0	0
χ₁₂	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
χ₁₃	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
χ₁₄	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
χ₁₅	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
χ₁₆	2	2	2	-2	-2	0	0	0	0	0	0	2	2	2	-2	-2	0	0	0	0	0	0	-2	-2	-2	2	2	0	0	0	0	0	0
χ₁₇	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	2	2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₁₈	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	2	2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₉	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ+ζ⁷	−ζ−ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ+ζ⁷	−ζ−ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ−ζ⁷	ζ+ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	0	0
χ₂₀	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ−ζ⁷	ζ+ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	0	0	2	-2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ−ζ⁷	ζ+ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ+ζ⁷	−ζ−ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	0	0
χ₂₁	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ³+ζ⁵	−ζ³−ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ³+ζ⁵	−ζ³−ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ³−ζ⁵	ζ³+ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	0	0
χ₂₂	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ³−ζ⁵	ζ³+ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	0	0	2	-2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ³−ζ⁵	ζ³+ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ³+ζ⁵	−ζ³−ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	0	0
χ₂₃	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	2	2	2	2	2	2	2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	2	2	2	2	2	-2	-2	-2	-2	2	-2	-1	-1	-1	-1	-1	1	1	1	1	-1	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	2	2	2	2	-2	-2	-2	-2	-2	2	-1	-1	-1	-1	-1	1	1	1	1	1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	-4	-4	0	0	0	0	0	0	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	-4	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2ζ+2ζ⁷	−2ζ−2ζ⁷	2ζ³+2ζ⁵	−2ζ³−2ζ⁵	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ−ζ⁷	ζ+ζ⁷	−ζ³−ζ⁵	ζ³+ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	−2ζ−2ζ⁷	2ζ+2ζ⁷	−2ζ³−2ζ⁵	2ζ³+2ζ⁵	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ+ζ⁷	−ζ−ζ⁷	ζ³+ζ⁵	−ζ³−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2ζ³+2ζ⁵	−2ζ³−2ζ⁵	−2ζ−2ζ⁷	2ζ+2ζ⁷	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ³−ζ⁵	ζ³+ζ⁵	ζ+ζ⁷	−ζ−ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	−2ζ³−2ζ⁵	2ζ³+2ζ⁵	2ζ+2ζ⁷	−2ζ−2ζ⁷	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ³+ζ⁵	−ζ³−ζ⁵	−ζ−ζ⁷	ζ+ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #4913