Group #13085495 — 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	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃
size	1	1	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	10	10	10	10	10	10	20	20	20	20	20	20	36	36	36	36	36	60	60	60	60	60	60	60	60	60	60	60	60	180
order	1	2	2	3	3	6	6	3	5	6	6	6	6	6	10	10	10	15	15	15	15	30	30	30	30	30	30	30	30	30	30	30	30	4	4	12	12	12	12	12	12	12	12	12	12	4	20	20	20	20	8	8	8	8	24	24	24	24	24	24	24	24	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	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	-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	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	-1	1	1	1	1	-1
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	$i$	$- i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	$- i$	$i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1
χ₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1
χ₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1
χ₉	2	2	2	2	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	2	2	0	0	0	0	-1	-1	-1	-1	0
χ₁₀	2	2	2	2	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	2	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	-2	-2	0	0	0	0	1	1	1	1	0
χ₁₁	2	2	2	2	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	1	1	-2	1	1	1	1	1	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	$- i$	$- i$	$i$	$i$	0
χ₁₂	2	2	2	2	-1	2	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	1	1	-2	1	1	1	1	1	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	$i$	$i$	$- i$	$- i$	0
χ₁₃	2	2	2	-1	2	-1	2	-1	2	-1	2	-1	-1	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	2	2	-1	2	-1	-1	-1	-1	0	0	0	0	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0
χ₁₄	2	2	2	-1	2	-1	2	-1	2	-1	2	-1	-1	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	2	2	-1	2	-1	-1	-1	-1	0	0	0	0	0	-2	-2	0	0	1	1	1	1	0	0	0	0	0
χ₁₅	2	2	2	-1	2	-1	2	-1	2	-1	2	-1	-1	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	1	1	-2	-2	1	-2	1	1	1	1	0	0	0	0	0	$2 i$	$- 2 i$	0	0	$- i$	$- i$	$i$	$i$	0	0	0	0	0
χ₁₆	2	2	2	-1	2	-1	2	-1	2	-1	2	-1	-1	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	1	1	-2	-2	1	-2	1	1	1	1	0	0	0	0	0	$- 2 i$	$2 i$	0	0	$i$	$i$	$- i$	$- i$	0	0	0	0	0
χ₁₇	2	2	-2	2	2	2	2	2	2	-2	-2	-2	-2	2	-2	-2	2	2	2	2	2	2	-2	-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
χ₁₈	2	2	-2	2	2	2	2	2	2	-2	-2	-2	-2	2	-2	-2	2	2	2	2	2	2	-2	-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
χ₁₉	2	2	-2	2	-1	2	-1	-1	2	-2	1	1	1	-1	-2	-2	2	2	-1	-1	-1	2	-2	-2	-1	1	1	-1	-1	1	1	1	1	2	-2	2	2	1	1	-2	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0
χ₂₀	2	2	-2	2	-1	2	-1	-1	2	-2	1	1	1	-1	-2	-2	2	2	-1	-1	-1	2	-2	-2	-1	1	1	-1	-1	1	1	1	1	2	-2	2	2	1	1	-2	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0
χ₂₁	2	2	-2	2	-1	2	-1	-1	2	-2	1	1	1	-1	-2	-2	2	2	-1	-1	-1	2	-2	-2	-1	1	1	-1	-1	1	1	1	1	-2	2	-2	-2	-1	-1	2	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0
χ₂₂	2	2	-2	2	-1	2	-1	-1	2	-2	1	1	1	-1	-2	-2	2	2	-1	-1	-1	2	-2	-2	-1	1	1	-1	-1	1	1	1	1	-2	2	-2	-2	-1	-1	2	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0
χ₂₃	2	2	-2	-1	2	-1	2	-1	2	1	-2	1	1	-1	-2	-2	2	-1	2	-1	-1	-1	1	1	2	-2	-2	-1	-1	1	1	1	1	2	-2	-1	-1	-2	-2	1	2	-1	-1	1	1	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0
χ₂₄	2	2	-2	-1	2	-1	2	-1	2	1	-2	1	1	-1	-2	-2	2	-1	2	-1	-1	-1	1	1	2	-2	-2	-1	-1	1	1	1	1	2	-2	-1	-1	-2	-2	1	2	-1	-1	1	1	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0
χ₂₅	2	2	-2	-1	2	-1	2	-1	2	1	-2	1	1	-1	-2	-2	2	-1	2	-1	-1	-1	1	1	2	-2	-2	-1	-1	1	1	1	1	-2	2	1	1	2	2	-1	-2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0
χ₂₆	2	2	-2	-1	2	-1	2	-1	2	1	-2	1	1	-1	-2	-2	2	-1	2	-1	-1	-1	1	1	2	-2	-2	-1	-1	1	1	1	1	-2	2	1	1	2	2	-1	-2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0
χ₂₇	4	4	4	4	4	4	4	4	-1	4	4	4	4	4	-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	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	4	4	4	4	-1	4	4	4	4	4	-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	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	-2	-2	-2	-2	1	4	-2	-2	1	1	1	4	4	4	-2	-2	1	1	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	4	4	-2	-2	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	-2	-2	-2	-2	1	4	-2	-2	1	1	1	4	4	4	-2	-2	1	1	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	-4	-4	2	2	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	-4	4	4	4	4	4	-1	-4	-4	-4	-4	4	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	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-4	4	4	4	4	4	-1	-4	-4	-4	-4	4	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	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	-2	-2	-2	-2	1	4	2	2	-1	-1	1	-4	-4	4	-2	-2	1	1	-2	2	2	-2	2	2	1	1	-1	-1	-1	-1	4	-4	-2	-2	2	2	2	-2	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-4	-2	-2	-2	-2	1	4	2	2	-1	-1	1	-4	-4	4	-2	-2	1	1	-2	2	2	-2	2	2	1	1	-1	-1	-1	-1	-4	4	2	2	-2	-2	-2	2	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	0	4	4	-4	-4	4	4	0	0	0	0	-4	0	0	-4	4	4	4	4	-4	0	0	-4	0	0	-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	0	0	0	0	0	0
χ₃₆	4	-4	0	4	4	-4	-4	4	-1	0	0	0	0	-4	$- \sqrt{5}$	$\sqrt{5}$	1	-1	-1	-1	-1	1	$- \sqrt{5}$	$\sqrt{5}$	1	$- \sqrt{5}$	$\sqrt{5}$	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	4	4	-4	-4	4	-1	0	0	0	0	-4	$- \sqrt{5}$	$\sqrt{5}$	1	-1	-1	-1	-1	1	$- \sqrt{5}$	$\sqrt{5}$	1	$- \sqrt{5}$	$\sqrt{5}$	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	0	4	4	-4	-4	4	-1	0	0	0	0	-4	$\sqrt{5}$	$- \sqrt{5}$	1	-1	-1	-1	-1	1	$\sqrt{5}$	$- \sqrt{5}$	1	$\sqrt{5}$	$- \sqrt{5}$	1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	0	4	4	-4	-4	4	-1	0	0	0	0	-4	$\sqrt{5}$	$- \sqrt{5}$	1	-1	-1	-1	-1	1	$\sqrt{5}$	$- \sqrt{5}$	1	$\sqrt{5}$	$- \sqrt{5}$	1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	0	4	-2	-4	2	-2	4	0	0	0	0	2	0	0	-4	4	-2	-2	-2	-4	0	0	2	0	0	2	2	0	0	0	0	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	0	4	-2	-4	2	-2	4	0	0	0	0	2	0	0	-4	4	-2	-2	-2	-4	0	0	2	0	0	2	2	0	0	0	0	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	0	-2	4	2	-4	-2	4	0	0	0	0	2	0	0	-4	-2	4	-2	-2	2	0	0	-4	0	0	2	2	0	0	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	0	-2	4	2	-4	-2	4	0	0	0	0	2	0	0	-4	-2	4	-2	-2	2	0	0	-4	0	0	2	2	0	0	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	0	-2	-2	2	2	1	4	0	0	3	-3	-1	0	0	-4	-2	-2	1	1	2	0	0	2	0	0	-1	-1	3	-3	3	-3	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	0	-2	-2	2	2	1	4	0	0	3	-3	-1	0	0	-4	-2	-2	1	1	2	0	0	2	0	0	-1	-1	3	-3	3	-3	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	0	-2	-2	2	2	1	4	0	0	-3	3	-1	0	0	-4	-2	-2	1	1	2	0	0	2	0	0	-1	-1	-3	3	-3	3	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	-4	0	-2	-2	2	2	1	4	0	0	-3	3	-1	0	0	-4	-2	-2	1	1	2	0	0	2	0	0	-1	-1	-3	3	-3	3	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	8	8	8	-4	8	-4	-4	-2	8	-4	-4	-4	-4	-2	-2	-2	-2	1	1	1	-2	-2	-2	1	1	1	1	1	1	1	1	1	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
χ₄₉	8	8	8	-4	8	-4	8	-4	-2	-4	8	-4	-4	-4	-2	-2	-2	1	-2	1	1	1	1	1	-2	-2	-2	1	1	1	1	1	1	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
χ₅₀	8	8	8	-4	-4	-4	-4	2	-2	-4	-4	2	2	2	-2	-2	-2	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	1	1	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	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
χ₅₁	8	8	8	-4	-4	-4	-4	2	-2	-4	-4	2	2	2	-2	-2	-2	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	1	1	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	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
χ₅₂	8	8	-8	8	-4	8	-4	-4	-2	-8	4	4	4	-4	2	2	-2	-2	1	1	1	-2	2	2	1	-1	-1	1	1	-1	-1	-1	-1	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
χ₅₃	8	8	-8	-4	8	-4	8	-4	-2	4	-8	4	4	-4	2	2	-2	1	-2	1	1	1	-1	-1	-2	2	2	1	1	-1	-1	-1	-1	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
χ₅₄	8	8	-8	-4	-4	-4	-4	2	-2	4	4	-2	-2	2	2	2	-2	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	-1	-1	1	-1	-1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	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
χ₅₅	8	8	-8	-4	-4	-4	-4	2	-2	4	4	-2	-2	2	2	2	-2	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	-1	-1	1	-1	-1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	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	8	-8	0	8	-4	-8	4	-4	-2	0	0	0	0	4	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	-2	1	1	1	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	$\sqrt{5}$	$- \sqrt{5}$	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	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
χ₅₇	8	-8	0	8	-4	-8	4	-4	-2	0	0	0	0	4	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	-2	1	1	1	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	$- \sqrt{5}$	$\sqrt{5}$	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	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
χ₅₈	8	-8	0	-4	8	4	-8	-4	-2	0	0	0	0	4	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	1	-2	1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	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
χ₅₉	8	-8	0	-4	8	4	-8	-4	-2	0	0	0	0	4	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	1	-2	1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	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
χ₆₀	8	-8	0	-4	-4	4	4	2	-2	0	0	6	-6	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	-1	$\sqrt{5}$	$- \sqrt{5}$	-1	$\sqrt{5}$	$- \sqrt{5}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	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
χ₆₁	8	-8	0	-4	-4	4	4	2	-2	0	0	6	-6	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	-1	$- \sqrt{5}$	$\sqrt{5}$	-1	$- \sqrt{5}$	$\sqrt{5}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	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
χ₆₂	8	-8	0	-4	-4	4	4	2	-2	0	0	-6	6	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	-1	$\sqrt{5}$	$- \sqrt{5}$	-1	$\sqrt{5}$	$- \sqrt{5}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	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
χ₆₃	8	-8	0	-4	-4	4	4	2	-2	0	0	-6	6	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	-1	$- \sqrt{5}$	$\sqrt{5}$	-1	$- \sqrt{5}$	$\sqrt{5}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	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

Character table — Group #13085495