Group #13085549 — 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
size	1	1	2	4	4	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	20	20	20	20	20	20	20	20	20	36	36	36	36	36	90	90	180	180	180	180
order	1	2	2	3	3	5	6	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	12	12	12	12	12	12	12	12	2	10	10	10	10	2	2	4	4	4	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
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
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	$i$	$i$	$- i$	$- i$
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	$- i$	$- i$	$i$	$i$
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	$i$	$- i$	$i$	$- i$
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	$- i$	$i$	$- i$	$i$
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	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	-1
χ₉	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	2	-2	0	0	0	0
χ₁₀	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	-2	2	0	0	0	0
χ₁₁	4	4	4	1	-2	4	1	1	-2	-2	1	-2	4	4	4	1	1	-2	-2	1	1	-2	-2	1	1	1	1	-2	-2	-2	-2	4	1	1	1	1	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₁₂	4	4	4	1	-2	4	1	1	-2	-2	1	-2	4	4	4	1	1	-2	-2	1	1	-2	-2	1	1	1	1	-2	-2	-2	-2	-4	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0
χ₁₃	4	4	4	4	4	-1	4	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	4	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₄	4	4	4	4	4	-1	4	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	-4	1	1	1	1	0	0	0	0	0	0
χ₁₅	4	4	4	-2	1	4	-2	-2	1	1	-2	1	4	4	4	-2	-2	1	1	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	4	-2	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	4	-2	1	4	-2	-2	1	1	-2	1	4	4	4	-2	-2	1	1	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	-4	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	4	-4	1	-2	4	-1	-1	2	2	1	-2	4	-4	-4	1	1	-2	-2	1	1	-2	-2	-1	-1	-1	-1	2	2	2	2	0	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	4	4	-4	1	-2	4	-1	-1	2	2	1	-2	4	-4	-4	1	1	-2	-2	1	1	-2	-2	-1	-1	-1	-1	2	2	2	2	0	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	4	4	-4	4	4	-1	-4	-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	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0
χ₂₀	4	4	-4	4	4	-1	-4	-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	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0
χ₂₁	4	4	-4	-2	1	4	2	2	-1	-1	-2	1	4	-4	-4	-2	-2	1	1	-2	-2	1	1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	3	3	-3	-3	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	-4	-2	1	4	2	2	-1	-1	-2	1	4	-4	-4	-2	-2	1	1	-2	-2	1	1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	-3	-3	3	3	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	-4	0	1	-2	4	3	-3	0	0	-1	2	-4	0	0	1	1	-2	-2	-1	-1	2	2	3	3	-3	-3	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-4	0	1	-2	4	3	-3	0	0	-1	2	-4	0	0	1	1	-2	-2	-1	-1	2	2	3	3	-3	-3	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-4	0	1	-2	4	-3	3	0	0	-1	2	-4	0	0	1	1	-2	-2	-1	-1	2	2	-3	-3	3	3	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	0	1	-2	4	-3	3	0	0	-1	2	-4	0	0	1	1	-2	-2	-1	-1	2	2	-3	-3	3	3	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	0	4	4	4	0	0	0	0	-4	-4	-4	0	0	4	4	4	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
χ₂₈	4	-4	0	4	4	-1	0	0	0	0	-4	-4	1	$- \sqrt{5}$	$\sqrt{5}$	-1	-1	-1	-1	1	1	1	1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0
χ₂₉	4	-4	0	4	4	-1	0	0	0	0	-4	-4	1	$- \sqrt{5}$	$\sqrt{5}$	-1	-1	-1	-1	1	1	1	1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0
χ₃₀	4	-4	0	4	4	-1	0	0	0	0	-4	-4	1	$\sqrt{5}$	$- \sqrt{5}$	-1	-1	-1	-1	1	1	1	1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0
χ₃₁	4	-4	0	4	4	-1	0	0	0	0	-4	-4	1	$\sqrt{5}$	$- \sqrt{5}$	-1	-1	-1	-1	1	1	1	1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0
χ₃₂	4	-4	0	-2	1	4	0	0	3	-3	2	-1	-4	0	0	-2	-2	1	1	2	2	-1	-1	0	0	0	0	3	-3	3	-3	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	-2	1	4	0	0	3	-3	2	-1	-4	0	0	-2	-2	1	1	2	2	-1	-1	0	0	0	0	3	-3	3	-3	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	-2	1	4	0	0	-3	3	2	-1	-4	0	0	-2	-2	1	1	2	2	-1	-1	0	0	0	0	-3	3	-3	3	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	0	-2	1	4	0	0	-3	3	2	-1	-4	0	0	-2	-2	1	1	2	2	-1	-1	0	0	0	0	-3	3	-3	3	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	8	8	2	-4	-2	2	2	-4	-4	2	-4	-2	-2	-2	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	8	8	2	-4	-2	2	2	-4	-4	2	-4	-2	-2	-2	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	8	8	-4	2	-2	-4	-4	2	2	-4	2	-2	-2	-2	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	8	8	8	-4	2	-2	-4	-4	2	2	-4	2	-2	-2	-2	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	8	-8	2	-4	-2	-2	-2	4	4	2	-4	-2	2	2	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	8	-8	2	-4	-2	-2	-2	4	4	2	-4	-2	2	2	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	8	-8	-4	2	-2	4	4	-2	-2	-4	2	-2	2	2	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	-1	-1	-1	-1	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	8	8	-8	-4	2	-2	4	4	-2	-2	-4	2	-2	2	2	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	-1	-1	-1	-1	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	8	-8	0	2	-4	-2	6	-6	0	0	-2	4	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	-1	-1	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-8	0	2	-4	-2	6	-6	0	0	-2	4	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	-1	-1	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	-8	0	2	-4	-2	-6	6	0	0	-2	4	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	1	1	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	-1	-1	$\frac{3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-8	0	2	-4	-2	-6	6	0	0	-2	4	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	1	1	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	-1	-1	$\frac{3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	0	-4	2	-2	0	0	6	-6	4	-2	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	-1	-1	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	-8	0	-4	2	-2	0	0	6	-6	4	-2	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	-1	-1	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	8	-8	0	-4	2	-2	0	0	-6	6	4	-2	2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	1	1	$\frac{- 1 + 3 \sqrt{5}}{2}$	$\frac{- 1 - 3 \sqrt{5}}{2}$	-1	-1	$\frac{1 - 3 \sqrt{5}}{2}$	$\frac{1 + 3 \sqrt{5}}{2}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	8	-8	0	-4	2	-2	0	0	-6	6	4	-2	2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	1	1	$\frac{- 1 - 3 \sqrt{5}}{2}$	$\frac{- 1 + 3 \sqrt{5}}{2}$	-1	-1	$\frac{1 + 3 \sqrt{5}}{2}$	$\frac{1 - 3 \sqrt{5}}{2}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\frac{3 + \sqrt{5}}{2}$	$\frac{- 3 + \sqrt{5}}{2}$	$\frac{3 - \sqrt{5}}{2}$	$\frac{- 3 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13085549