Group #11921091 — 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	C₅₆	C₅₇
size	1	1	2	2	2	2	2	3	3	4	4	4	6	6	6	6	6	8	8	8	8	8	8	8	8	8	12	12	12	16	16	16	16	16	16	16	16	16	24	24	24	32	32	32	32	32	32	36	36	36	36	36	36	36	36	144	144
order	1	2	3	4	6	8	8	2	2	12	24	24	4	6	6	8	8	3	3	3	4	6	6	6	12	12	12	24	24	12	12	12	24	24	24	24	24	24	4	12	12	12	12	12	12	12	12	16	16	16	16	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	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	-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	-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	1	1
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-2	-1	-1	-1	-2	-2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0
χ₇	2	2	2	2	2	-2	-2	2	2	2	-2	-2	2	2	2	-2	-2	2	2	2	0	2	2	2	0	0	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
χ₈	2	2	2	2	2	-2	-2	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	0	-1	-1	-1	0	0	2	-2	-2	-1	-1	-1	1	1	1	1	1	1	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₉	2	2	2	2	2	-2	-2	2	2	2	-2	-2	2	2	2	-2	-2	-1	-1	-1	0	-1	-1	-1	0	0	2	-2	-2	-1	-1	-1	1	1	1	1	1	1	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	-2	2	0	0	2	2	-2	0	0	-2	2	2	0	0	2	2	2	0	2	2	2	0	0	-2	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₁	2	2	2	-2	2	0	0	2	2	-2	0	0	-2	2	2	0	0	2	2	2	0	2	2	2	0	0	-2	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₁₂	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	2	-1	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	-1	-1	2	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0
χ₁₃	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	2	-1	-1	2	2	2	-1	-1	-2	2	-1	-1	1	1	-1	-1	-1	2	-1	-1	2	2	-1	-1	-1	-1	-2	1	1	-2	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0
χ₁₄	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	2	-1	-1	2	2	-1	2	-1	2	-1	2	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	2	2	-1	-1	2	-1	-1	-1	2	-1	-1	2	-1	0	0	0	0	0	0	0	0	0	0
χ₁₅	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	2	-1	-1	2	2	-1	2	-1	-2	-1	2	-1	1	1	-1	-1	-1	-1	2	-1	-1	-1	2	2	-1	-1	-2	1	1	1	-2	1	1	-2	1	0	0	0	0	0	0	0	0	0	0
χ₁₆	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	2	-1	-1	2	2	-1	-1	2	2	-1	-1	2	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	2	-1	-1	2	0	0	0	0	0	0	0	0	0	0
χ₁₇	2	2	-1	2	-1	2	2	2	2	-1	-1	-1	2	-1	-1	2	2	-1	-1	2	-2	-1	-1	2	1	1	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-2	1	1	1	1	-2	1	1	-2	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	-1	2	-1	-2	-2	2	2	-1	1	1	2	-1	-1	-2	-2	2	-1	-1	0	2	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	1	2	-1	-1	-2	-2	1	1	1	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	-1	2	-1	-2	-2	2	2	-1	1	1	2	-1	-1	-2	-2	2	-1	-1	0	2	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	1	2	-1	-1	-2	-2	1	1	1	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	-1	2	-1	-2	-2	2	2	-1	1	1	2	-1	-1	-2	-2	-1	2	-1	0	-1	2	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	1	-1	2	-1	1	1	-2	-2	1	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	2	-1	2	-1	-2	-2	2	2	-1	1	1	2	-1	-1	-2	-2	-1	2	-1	0	-1	2	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	1	-1	2	-1	1	1	-2	-2	1	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	$i \sqrt{3}$	$i \sqrt{3}$	0	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	2	-1	2	-1	-2	-2	2	2	-1	1	1	2	-1	-1	-2	-2	-1	-1	2	0	-1	-1	2	$- i \sqrt{3}$	$i \sqrt{3}$	-1	1	1	-1	-1	2	1	1	1	1	-2	-2	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	2	2	-1	2	-1	-2	-2	2	2	-1	1	1	2	-1	-1	-2	-2	-1	-1	2	0	-1	-1	2	$i \sqrt{3}$	$- i \sqrt{3}$	-1	1	1	-1	-1	2	1	1	1	1	-2	-2	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	2	2	2	0	-2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	0	0
χ₂₅	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	-2	2	0	$\sqrt{2}$	$- \sqrt{2}$	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	2	2	2	0	-2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	0	0
χ₂₆	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	2	2	2	0	-2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	0	0
χ₂₇	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	-2	2	0	$- \sqrt{2}$	$\sqrt{2}$	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	2	2	2	0	-2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	0	0
χ₂₈	3	3	3	3	3	3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	0	0	0	3	0	0	0	3	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1	1	-1
χ₂₉	3	3	3	3	3	3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	0	0	0	3	0	0	0	3	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1	-1	1
χ₃₀	3	3	3	3	3	3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	0	0	0	-3	0	0	0	-3	-3	-1	-1	-1	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	1	1	1	1	-1	-1	-1	-1	-1	1
χ₃₁	3	3	3	3	3	3	3	-1	-1	3	3	3	-1	-1	-1	-1	-1	0	0	0	-3	0	0	0	-3	-3	-1	-1	-1	0	0	0	0	0	0	0	0	0	1	1	1	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1	1	-1
χ₃₂	4	4	4	-4	4	0	0	4	4	-4	0	0	-4	4	4	0	0	-2	-2	-2	0	-2	-2	-2	0	0	-4	0	0	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	0	0	0
χ₃₃	4	4	-2	-4	-2	0	0	4	4	2	0	0	-4	-2	-2	0	0	4	-2	-2	0	4	-2	-2	0	0	2	0	0	-4	2	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	0
χ₃₄	4	4	-2	-4	-2	0	0	4	4	2	0	0	-4	-2	-2	0	0	-2	4	-2	0	-2	4	-2	0	0	2	0	0	2	-4	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	0
χ₃₅	4	4	-2	-4	-2	0	0	4	4	2	0	0	-4	-2	-2	0	0	-2	-2	4	0	-2	-2	4	0	0	2	0	0	2	2	-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
χ₃₆	4	-4	4	0	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-4	4	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	4	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	-2	-2	0	2	2	2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	4	0	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-4	4	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	4	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	-2	-2	0	2	2	2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-4	4	0	$- \sqrt{2}$	$\sqrt{2}$	0	-2	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-2	-2	0	-4	2	2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-4	4	0	$- \sqrt{2}$	$\sqrt{2}$	0	-2	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	4	-2	0	2	-4	2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-4	4	0	$- \sqrt{2}$	$\sqrt{2}$	0	-2	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	-2	4	0	2	2	-4	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-4	4	0	$\sqrt{2}$	$- \sqrt{2}$	0	-2	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-2	-2	0	-4	2	2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-4	4	0	$\sqrt{2}$	$- \sqrt{2}$	0	-2	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	4	-2	0	2	-4	2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-4	4	0	$\sqrt{2}$	$- \sqrt{2}$	0	-2	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	-2	4	0	2	2	-4	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	6	6	6	-6	-6	-2	-2	6	-6	-6	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	-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	0	0	0	0	0	0
χ₄₅	6	6	6	-6	6	0	0	-2	-2	-6	0	0	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0
χ₄₆	6	6	6	-6	6	0	0	-2	-2	-6	0	0	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0
χ₄₇	6	6	-3	6	-3	6	6	-2	-2	-3	-3	-3	-2	1	1	-2	-2	0	0	0	6	0	0	0	-3	-3	1	1	1	0	0	0	0	0	0	0	0	0	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	6	-3	6	-3	6	6	-2	-2	-3	-3	-3	-2	1	1	-2	-2	0	0	0	-6	0	0	0	3	3	1	1	1	0	0	0	0	0	0	0	0	0	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	6	6	-3	6	-3	-6	-6	-2	-2	-3	3	3	-2	1	1	2	2	0	0	0	0	0	0	0	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	1	-1	-1	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	6	6	-3	6	-3	-6	-6	-2	-2	-3	3	3	-2	1	1	2	2	0	0	0	0	0	0	0	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	1	-1	-1	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	6	-6	6	0	-6	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	0	0
χ₅₂	6	-6	6	0	-6	$3 \sqrt{2}$	$- 3 \sqrt{2}$	2	-2	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	0	0
χ₅₃	6	-6	6	0	-6	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	0	0
χ₅₄	6	-6	6	0	-6	$- 3 \sqrt{2}$	$3 \sqrt{2}$	2	-2	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³+ζ²⁹+ζ⁴³	−ζ¹¹−ζ¹³−ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹+ζ⁴¹+ζ⁴⁷	−ζ²⁵−ζ³¹−ζ⁴¹−ζ⁴⁷	0	0
χ₅₅	12	12	-6	-12	-6	0	0	-4	-4	6	0	0	4	2	2	0	0	0	0	0	0	0	0	0	0	0	-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	0	0	0	0	0	0
χ₅₆	12	-12	-6	0	6	$6 \sqrt{2}$	$- 6 \sqrt{2}$	4	-4	0	$- 3 \sqrt{2}$	$3 \sqrt{2}$	0	2	-2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	12	-12	-6	0	6	$- 6 \sqrt{2}$	$6 \sqrt{2}$	4	-4	0	$3 \sqrt{2}$	$- 3 \sqrt{2}$	0	2	-2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11921091