Group #10623925 — 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
size	1	2	3	6	8	8	8	18	18	2	4	6	12	16	16	16	36	36	2	4	6	12	16	16	16	36	36	5	10	15	30	40	40	40	90	90
order	1	3	2	6	9	9	9	2	4	5	15	10	30	45	45	45	10	20	5	15	10	30	45	45	45	10	20	2	6	2	6	18	18	18	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
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
χ₃	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0
χ₄	2	-1	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0
χ₅	2	-1	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0	2	-1	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0	2	-1	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0	2	-1	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0
χ₆	2	-1	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0
χ₇	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1
χ₈	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1
χ₉	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0
χ₁₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₁₁	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₁₂	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	0	0	-2	-2	-2	-2	1	1	1	0	0
χ₁₃	2	-1	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	0	0	-2	1	-2	1	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	0	0
χ₁₄	2	-1	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0	2	-1	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0	2	-1	2	-1	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	0	0	-2	1	-2	1	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	0	0
χ₁₅	2	-1	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0	2	-1	2	-1	−ζ⁷+ζ⁸+ζ¹⁴−ζ¹⁶+ζ¹⁷+ζ²³+ζ²⁶+ζ³²−ζ³⁴+ζ⁴¹−ζ⁴³+ζ⁴⁴	−ζ⁴−ζ¹³−ζ¹⁴−ζ²²−ζ²³−ζ³¹−ζ³²−ζ⁴¹	ζ⁴+ζ⁷−ζ⁸+ζ¹³+ζ¹⁶−ζ¹⁷+ζ²²−ζ²⁶+ζ³¹+ζ³⁴+ζ⁴³−ζ⁴⁴	0	0	-2	1	-2	1	ζ⁷−ζ⁸−ζ¹⁴+ζ¹⁶−ζ¹⁷−ζ²³−ζ²⁶−ζ³²+ζ³⁴−ζ⁴¹+ζ⁴³−ζ⁴⁴	ζ⁴+ζ¹³+ζ¹⁴+ζ²²+ζ²³+ζ³¹+ζ³²+ζ⁴¹	−ζ⁴−ζ⁷+ζ⁸−ζ¹³−ζ¹⁶+ζ¹⁷−ζ²²+ζ²⁶−ζ³¹−ζ³⁴−ζ⁴³+ζ⁴⁴	0	0
χ₁₆	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	3	3	-1	-1	0	0	0	1	-1	-3	-3	1	1	0	0	0	-1	1
χ₁₇	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	3	3	-1	-1	0	0	0	-1	1	-3	-3	1	1	0	0	0	1	-1
χ₁₈	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	6	-3	-2	1	0	0	0	0	0	-6	3	2	-1	0	0	0	0	0
χ₁₉	2	2	2	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	2	2	2	2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	-2	-2	-2	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	-2	4	-2	−2ζ⁴−2ζ¹³−2ζ¹⁴−2ζ²²−2ζ²³−2ζ³¹−2ζ³²−2ζ⁴¹	2ζ⁴+2ζ⁷−2ζ⁸+2ζ¹³+2ζ¹⁶−2ζ¹⁷+2ζ²²−2ζ²⁶+2ζ³¹+2ζ³⁴+2ζ⁴³−2ζ⁴⁴	−2ζ⁷+2ζ⁸+2ζ¹⁴−2ζ¹⁶+2ζ¹⁷+2ζ²³+2ζ²⁶+2ζ³²−2ζ³⁴+2ζ⁴¹−2ζ⁴³+2ζ⁴⁴	0	0	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴+ζ¹⁴+ζ³¹+ζ⁴¹	−ζ⁴−ζ¹⁶+ζ²⁶−ζ³¹−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ¹⁶−ζ²⁶+ζ³⁴−ζ⁴¹−ζ⁴⁴	0	0	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹³+ζ²²+ζ²³+ζ³²	−ζ⁷+ζ⁸−ζ¹³+ζ¹⁷−ζ²²−ζ⁴³	ζ⁷−ζ⁸−ζ¹⁷−ζ²³−ζ³²+ζ⁴³	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	-2	4	-2	2ζ⁴+2ζ⁷−2ζ⁸+2ζ¹³+2ζ¹⁶−2ζ¹⁷+2ζ²²−2ζ²⁶+2ζ³¹+2ζ³⁴+2ζ⁴³−2ζ⁴⁴	−2ζ⁷+2ζ⁸+2ζ¹⁴−2ζ¹⁶+2ζ¹⁷+2ζ²³+2ζ²⁶+2ζ³²−2ζ³⁴+2ζ⁴¹−2ζ⁴³+2ζ⁴⁴	−2ζ⁴−2ζ¹³−2ζ¹⁴−2ζ²²−2ζ²³−2ζ³¹−2ζ³²−2ζ⁴¹	0	0	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴−ζ¹⁶+ζ²⁶−ζ³¹−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ¹⁶−ζ²⁶+ζ³⁴−ζ⁴¹−ζ⁴⁴	ζ⁴+ζ¹⁴+ζ³¹+ζ⁴¹	0	0	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	−ζ⁷+ζ⁸−ζ¹³+ζ¹⁷−ζ²²−ζ⁴³	ζ⁷−ζ⁸−ζ¹⁷−ζ²³−ζ³²+ζ⁴³	ζ¹³+ζ²²+ζ²³+ζ³²	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-2	4	-2	−2ζ⁷+2ζ⁸+2ζ¹⁴−2ζ¹⁶+2ζ¹⁷+2ζ²³+2ζ²⁶+2ζ³²−2ζ³⁴+2ζ⁴¹−2ζ⁴³+2ζ⁴⁴	−2ζ⁴−2ζ¹³−2ζ¹⁴−2ζ²²−2ζ²³−2ζ³¹−2ζ³²−2ζ⁴¹	2ζ⁴+2ζ⁷−2ζ⁸+2ζ¹³+2ζ¹⁶−2ζ¹⁷+2ζ²²−2ζ²⁶+2ζ³¹+2ζ³⁴+2ζ⁴³−2ζ⁴⁴	0	0	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	−ζ¹⁴+ζ¹⁶−ζ²⁶+ζ³⁴−ζ⁴¹−ζ⁴⁴	ζ⁴+ζ¹⁴+ζ³¹+ζ⁴¹	−ζ⁴−ζ¹⁶+ζ²⁶−ζ³¹−ζ³⁴+ζ⁴⁴	0	0	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	ζ⁷−ζ⁸−ζ¹⁷−ζ²³−ζ³²+ζ⁴³	ζ¹³+ζ²²+ζ²³+ζ³²	−ζ⁷+ζ⁸−ζ¹³+ζ¹⁷−ζ²²−ζ⁴³	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	6	-2	-2	0	0	0	2	-2	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₆	6	6	-2	-2	0	0	0	-2	2	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₇	12	-6	-4	2	0	0	0	0	0	$- 3 + 3 \sqrt{5}$	$\frac{3 - 3 \sqrt{5}}{2}$	$1 - \sqrt{5}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	$- 3 - 3 \sqrt{5}$	$\frac{3 + 3 \sqrt{5}}{2}$	$1 + \sqrt{5}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	2	2	2	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0
χ₂₉	2	2	2	2	2	2	2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	4	-2	-2	-2	0	0	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-2	4	-2	−2ζ⁴−2ζ¹³−2ζ¹⁴−2ζ²²−2ζ²³−2ζ³¹−2ζ³²−2ζ⁴¹	2ζ⁴+2ζ⁷−2ζ⁸+2ζ¹³+2ζ¹⁶−2ζ¹⁷+2ζ²²−2ζ²⁶+2ζ³¹+2ζ³⁴+2ζ⁴³−2ζ⁴⁴	−2ζ⁷+2ζ⁸+2ζ¹⁴−2ζ¹⁶+2ζ¹⁷+2ζ²³+2ζ²⁶+2ζ³²−2ζ³⁴+2ζ⁴¹−2ζ⁴³+2ζ⁴⁴	0	0	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	ζ¹³+ζ²²+ζ²³+ζ³²	−ζ⁷+ζ⁸−ζ¹³+ζ¹⁷−ζ²²−ζ⁴³	ζ⁷−ζ⁸−ζ¹⁷−ζ²³−ζ³²+ζ⁴³	0	0	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	ζ⁴+ζ¹⁴+ζ³¹+ζ⁴¹	−ζ⁴−ζ¹⁶+ζ²⁶−ζ³¹−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ¹⁶−ζ²⁶+ζ³⁴−ζ⁴¹−ζ⁴⁴	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-2	4	-2	2ζ⁴+2ζ⁷−2ζ⁸+2ζ¹³+2ζ¹⁶−2ζ¹⁷+2ζ²²−2ζ²⁶+2ζ³¹+2ζ³⁴+2ζ⁴³−2ζ⁴⁴	−2ζ⁷+2ζ⁸+2ζ¹⁴−2ζ¹⁶+2ζ¹⁷+2ζ²³+2ζ²⁶+2ζ³²−2ζ³⁴+2ζ⁴¹−2ζ⁴³+2ζ⁴⁴	−2ζ⁴−2ζ¹³−2ζ¹⁴−2ζ²²−2ζ²³−2ζ³¹−2ζ³²−2ζ⁴¹	0	0	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	−ζ⁷+ζ⁸−ζ¹³+ζ¹⁷−ζ²²−ζ⁴³	ζ⁷−ζ⁸−ζ¹⁷−ζ²³−ζ³²+ζ⁴³	ζ¹³+ζ²²+ζ²³+ζ³²	0	0	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	−ζ⁴−ζ¹⁶+ζ²⁶−ζ³¹−ζ³⁴+ζ⁴⁴	−ζ¹⁴+ζ¹⁶−ζ²⁶+ζ³⁴−ζ⁴¹−ζ⁴⁴	ζ⁴+ζ¹⁴+ζ³¹+ζ⁴¹	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-2	4	-2	−2ζ⁷+2ζ⁸+2ζ¹⁴−2ζ¹⁶+2ζ¹⁷+2ζ²³+2ζ²⁶+2ζ³²−2ζ³⁴+2ζ⁴¹−2ζ⁴³+2ζ⁴⁴	−2ζ⁴−2ζ¹³−2ζ¹⁴−2ζ²²−2ζ²³−2ζ³¹−2ζ³²−2ζ⁴¹	2ζ⁴+2ζ⁷−2ζ⁸+2ζ¹³+2ζ¹⁶−2ζ¹⁷+2ζ²²−2ζ²⁶+2ζ³¹+2ζ³⁴+2ζ⁴³−2ζ⁴⁴	0	0	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	$- 1 - \sqrt{5}$	$\frac{1 + \sqrt{5}}{2}$	ζ⁷−ζ⁸−ζ¹⁷−ζ²³−ζ³²+ζ⁴³	ζ¹³+ζ²²+ζ²³+ζ³²	−ζ⁷+ζ⁸−ζ¹³+ζ¹⁷−ζ²²−ζ⁴³	0	0	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	$- 1 + \sqrt{5}$	$\frac{1 - \sqrt{5}}{2}$	−ζ¹⁴+ζ¹⁶−ζ²⁶+ζ³⁴−ζ⁴¹−ζ⁴⁴	ζ⁴+ζ¹⁴+ζ³¹+ζ⁴¹	−ζ⁴−ζ¹⁶+ζ²⁶−ζ³¹−ζ³⁴+ζ⁴⁴	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	6	6	-2	-2	0	0	0	2	-2	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0
χ₃₅	6	6	-2	-2	0	0	0	-2	2	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0
χ₃₆	12	-6	-4	2	0	0	0	0	0	$- 3 - 3 \sqrt{5}$	$\frac{3 + 3 \sqrt{5}}{2}$	$1 + \sqrt{5}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	$- 3 + 3 \sqrt{5}$	$\frac{3 - 3 \sqrt{5}}{2}$	$1 - \sqrt{5}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #10623925