Group #11714209 — 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	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅
size	1	1	2	2	2	2	2	2	2	8	8	3	3	6	6	6	6	6	6	6	24	24	6	6	12	12	12	12	12	12	12	48	48	6	6	12	12	12	12	12	12	12	48	48	8	8	16	16	16	16	16	16	16	64	64
order	1	2	4	8	8	16	16	16	16	4	4	2	2	4	8	8	16	16	16	16	4	4	2	2	4	8	8	16	16	16	16	4	4	4	4	4	8	8	16	16	16	16	4	4	3	6	12	24	24	48	48	48	48	12	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	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	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	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	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	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	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	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	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	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	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	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	-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	-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	-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	-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	-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	-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	-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	-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	-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	-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	-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	2	2	2	2	2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₄	2	2	2	2	2	2	2	2	2	-2	-2	2	2	2	2	2	2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₂₅	2	2	2	2	2	-2	-2	-2	-2	2	-2	2	2	2	2	2	-2	-2	-2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	1	1	-1	1
χ₂₆	2	2	2	2	2	-2	-2	-2	-2	-2	2	2	2	2	2	2	-2	-2	-2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	1	1	1	-1
χ₂₇	4	4	4	-4	-4	0	0	0	0	0	0	4	4	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	2	2	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	4	4	-4	0	0	$2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₂₉	4	4	-4	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	4	4	-4	0	0	$- 2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₃₀	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2ζ−2ζ⁷	−2ζ+2ζ⁷	2ζ³−2ζ⁵	−2ζ³+2ζ⁵	0	0	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	2ζ−2ζ⁷	−2ζ+2ζ⁷	2ζ³−2ζ⁵	−2ζ³+2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	−ζ+ζ⁷	ζ−ζ⁷	−ζ³+ζ⁵	ζ³−ζ⁵	0	0
χ₃₁	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	−2ζ+2ζ⁷	2ζ−2ζ⁷	−2ζ³+2ζ⁵	2ζ³−2ζ⁵	0	0	4	-4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	−2ζ+2ζ⁷	2ζ−2ζ⁷	−2ζ³+2ζ⁵	2ζ³−2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	ζ−ζ⁷	−ζ+ζ⁷	ζ³−ζ⁵	−ζ³+ζ⁵	0	0
χ₃₂	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2ζ³−2ζ⁵	−2ζ³+2ζ⁵	−2ζ+2ζ⁷	2ζ−2ζ⁷	0	0	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	2ζ³−2ζ⁵	−2ζ³+2ζ⁵	−2ζ+2ζ⁷	2ζ−2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	−ζ³+ζ⁵	ζ³−ζ⁵	ζ−ζ⁷	−ζ+ζ⁷	0	0
χ₃₃	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	−2ζ³+2ζ⁵	2ζ³−2ζ⁵	2ζ−2ζ⁷	−2ζ+2ζ⁷	0	0	4	-4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	−2ζ³+2ζ⁵	2ζ³−2ζ⁵	2ζ−2ζ⁷	−2ζ+2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	ζ³−ζ⁵	−ζ³+ζ⁵	−ζ+ζ⁷	ζ−ζ⁷	0	0
χ₃₄	3	3	3	3	3	3	3	3	3	3	3	-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	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	3	3	3	3	3	3	3	3	3	-3	-3	-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	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	3	3	3	3	3	-3	-3	-3	-3	3	-3	-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	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	3	3	3	3	3	-3	-3	-3	-3	-3	3	-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	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	6	6	6	-6	-6	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	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	6	6	-6	0	0	$3 \sqrt{2}$	$3 \sqrt{2}$	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	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	-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
χ₄₀	6	6	-6	0	0	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	$3 \sqrt{2}$	$3 \sqrt{2}$	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	-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
χ₄₁	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	3ζ−3ζ⁷	−3ζ+3ζ⁷	3ζ³−3ζ⁵	−3ζ³+3ζ⁵	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	-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
χ₄₂	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	−3ζ+3ζ⁷	3ζ−3ζ⁷	−3ζ³+3ζ⁵	3ζ³−3ζ⁵	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	-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
χ₄₃	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	3ζ³−3ζ⁵	−3ζ³+3ζ⁵	−3ζ+3ζ⁷	3ζ−3ζ⁷	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	-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
χ₄₄	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	−3ζ³+3ζ⁵	3ζ³−3ζ⁵	3ζ−3ζ⁷	−3ζ+3ζ⁷	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	-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
χ₄₅	3	3	3	3	3	3	3	3	3	3	3	-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	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	3	3	3	3	3	3	3	3	3	-3	-3	-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	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	3	3	3	3	3	-3	-3	-3	-3	3	-3	-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	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	3	3	3	3	3	-3	-3	-3	-3	-3	3	-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	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	6	6	6	-6	-6	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	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	6	6	-6	0	0	$3 \sqrt{2}$	$3 \sqrt{2}$	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	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	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
χ₅₁	6	6	-6	0	0	$- 3 \sqrt{2}$	$- 3 \sqrt{2}$	$3 \sqrt{2}$	$3 \sqrt{2}$	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	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
χ₅₂	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	3ζ−3ζ⁷	−3ζ+3ζ⁷	3ζ³−3ζ⁵	−3ζ³+3ζ⁵	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	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
χ₅₃	6	-6	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	−3ζ+3ζ⁷	3ζ−3ζ⁷	−3ζ³+3ζ⁵	3ζ³−3ζ⁵	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	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
χ₅₄	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	3ζ³−3ζ⁵	−3ζ³+3ζ⁵	−3ζ+3ζ⁷	3ζ−3ζ⁷	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	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
χ₅₅	6	-6	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	−3ζ³+3ζ⁵	3ζ³−3ζ⁵	3ζ−3ζ⁷	−3ζ+3ζ⁷	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	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 #11714209