Group #65207 — 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
size	1	1	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	8	8	10	10	16	16	16	16	20	20	20	40	40
order	1	2	4	5	5	8	8	10	10	16	16	20	20	40	40	40	40	80	80	80	80	80	80	80	80	4	4	2	4	20	20	20	20	8	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
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
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
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
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
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
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
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
χ₉	2	2	2	2	2	-2	-2	2	2	0	0	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	2	2	0	0	0	0	-2	0	0	0	0
χ₁₀	2	2	2	2	2	-2	-2	2	2	0	0	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	2	0	0	0	0
χ₁₁	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0
χ₁₂	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0
χ₁₃	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	2	-2	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0
χ₁₄	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-2	2	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0
χ₁₅	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0
χ₁₆	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0
χ₁₇	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	2	-2	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0
χ₁₈	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-2	2	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0
χ₁₉	2	2	-2	2	2	0	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₀	2	2	-2	2	2	0	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	-2	2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₁	2	2	-2	2	2	0	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₂	2	2	-2	2	2	0	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	-2	2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₃	4	4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	0	4	4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-4	-4	0	0	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
χ₃₀	4	-4	0	4	4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-4	-4	0	0	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
χ₃₁	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ¹¹+ζ²⁹−ζ⁵⁹−ζ⁶¹	−ζ¹¹−ζ²⁹+ζ⁵⁹+ζ⁶¹	ζ⁹+ζ³¹−ζ⁴¹−ζ⁷⁹	−ζ⁹−ζ³¹+ζ⁴¹+ζ⁷⁹	ζ¹³+ζ²⁷−ζ⁴³−ζ⁷⁷	−ζ¹³−ζ²⁷+ζ⁴³+ζ⁷⁷	ζ⁴⁷−ζ⁵⁷−ζ⁶³+ζ⁷³	−ζ⁴⁷+ζ⁵⁷+ζ⁶³−ζ⁷³	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹¹−ζ²⁹+ζ⁵⁹+ζ⁶¹	ζ¹¹+ζ²⁹−ζ⁵⁹−ζ⁶¹	−ζ⁹−ζ³¹+ζ⁴¹+ζ⁷⁹	ζ⁹+ζ³¹−ζ⁴¹−ζ⁷⁹	−ζ¹³−ζ²⁷+ζ⁴³+ζ⁷⁷	ζ¹³+ζ²⁷−ζ⁴³−ζ⁷⁷	−ζ⁴⁷+ζ⁵⁷+ζ⁶³−ζ⁷³	ζ⁴⁷−ζ⁵⁷−ζ⁶³+ζ⁷³	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ⁹+ζ³¹−ζ⁴¹−ζ⁷⁹	−ζ⁹−ζ³¹+ζ⁴¹+ζ⁷⁹	−ζ¹¹−ζ²⁹+ζ⁵⁹+ζ⁶¹	ζ¹¹+ζ²⁹−ζ⁵⁹−ζ⁶¹	ζ⁴⁷−ζ⁵⁷−ζ⁶³+ζ⁷³	−ζ⁴⁷+ζ⁵⁷+ζ⁶³−ζ⁷³	−ζ¹³−ζ²⁷+ζ⁴³+ζ⁷⁷	ζ¹³+ζ²⁷−ζ⁴³−ζ⁷⁷	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	0	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁹−ζ³¹+ζ⁴¹+ζ⁷⁹	ζ⁹+ζ³¹−ζ⁴¹−ζ⁷⁹	ζ¹¹+ζ²⁹−ζ⁵⁹−ζ⁶¹	−ζ¹¹−ζ²⁹+ζ⁵⁹+ζ⁶¹	−ζ⁴⁷+ζ⁵⁷+ζ⁶³−ζ⁷³	ζ⁴⁷−ζ⁵⁷−ζ⁶³+ζ⁷³	ζ¹³+ζ²⁷−ζ⁴³−ζ⁷⁷	−ζ¹³−ζ²⁷+ζ⁴³+ζ⁷⁷	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	ζ¹³+ζ²⁷−ζ⁴³−ζ⁷⁷	−ζ¹³−ζ²⁷+ζ⁴³+ζ⁷⁷	ζ⁴⁷−ζ⁵⁷−ζ⁶³+ζ⁷³	−ζ⁴⁷+ζ⁵⁷+ζ⁶³−ζ⁷³	−ζ¹¹−ζ²⁹+ζ⁵⁹+ζ⁶¹	ζ¹¹+ζ²⁹−ζ⁵⁹−ζ⁶¹	−ζ⁹−ζ³¹+ζ⁴¹+ζ⁷⁹	ζ⁹+ζ³¹−ζ⁴¹−ζ⁷⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹³−ζ²⁷+ζ⁴³+ζ⁷⁷	ζ¹³+ζ²⁷−ζ⁴³−ζ⁷⁷	−ζ⁴⁷+ζ⁵⁷+ζ⁶³−ζ⁷³	ζ⁴⁷−ζ⁵⁷−ζ⁶³+ζ⁷³	ζ¹¹+ζ²⁹−ζ⁵⁹−ζ⁶¹	−ζ¹¹−ζ²⁹+ζ⁵⁹+ζ⁶¹	ζ⁹+ζ³¹−ζ⁴¹−ζ⁷⁹	−ζ⁹−ζ³¹+ζ⁴¹+ζ⁷⁹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	ζ⁴⁷−ζ⁵⁷−ζ⁶³+ζ⁷³	−ζ⁴⁷+ζ⁵⁷+ζ⁶³−ζ⁷³	−ζ¹³−ζ²⁷+ζ⁴³+ζ⁷⁷	ζ¹³+ζ²⁷−ζ⁴³−ζ⁷⁷	−ζ⁹−ζ³¹+ζ⁴¹+ζ⁷⁹	ζ⁹+ζ³¹−ζ⁴¹−ζ⁷⁹	ζ¹¹+ζ²⁹−ζ⁵⁹−ζ⁶¹	−ζ¹¹−ζ²⁹+ζ⁵⁹+ζ⁶¹	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	0	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	−ζ⁴²−ζ⁵⁸+ζ⁶²+ζ⁷⁸	ζ⁴²+ζ⁵⁸−ζ⁶²−ζ⁷⁸	ζ¹⁴−ζ²⁶+ζ⁴⁶−ζ⁷⁴	−ζ¹⁴+ζ²⁶−ζ⁴⁶+ζ⁷⁴	−ζ⁴⁷+ζ⁵⁷+ζ⁶³−ζ⁷³	ζ⁴⁷−ζ⁵⁷−ζ⁶³+ζ⁷³	ζ¹³+ζ²⁷−ζ⁴³−ζ⁷⁷	−ζ¹³−ζ²⁷+ζ⁴³+ζ⁷⁷	ζ⁹+ζ³¹−ζ⁴¹−ζ⁷⁹	−ζ⁹−ζ³¹+ζ⁴¹+ζ⁷⁹	−ζ¹¹−ζ²⁹+ζ⁵⁹+ζ⁶¹	ζ¹¹+ζ²⁹−ζ⁵⁹−ζ⁶¹	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #65207