Group #91184 — 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
size	1	1	1	1	2	2	2	2	2	2	2	2	6	6	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	12	12	12	12	30	30	30	30	60	60
order	1	2	2	2	5	5	10	10	10	10	10	10	4	4	3	6	6	6	15	15	15	15	30	30	30	30	30	30	30	30	30	30	30	30	20	20	20	20	8	8	8	8	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
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
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	$i$	$i$	$- i$	$- i$	$i$	$- i$
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	$- i$	$- i$	$i$	$i$	$- i$	$i$
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	0	0	0	0	0	0
χ₆	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0
χ₇	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	-1	-1	-1	-1	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0
χ₈	2	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	2	-1	-1	-1	-1	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0
χ₉	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0
χ₁₀	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	-1	-1	-1	-1	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0
χ₁₁	2	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	2	-1	-1	-1	-1	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴−ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ²⁸−ζ⁹²	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0
χ₁₂	2	2	-2	-2	2	2	2	-2	2	-2	-2	-2	0	0	-1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	1	-1	1	-1	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₁₃	2	2	-2	-2	2	2	2	-2	2	-2	-2	-2	0	0	-1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	1	-1	1	-1	1	-1	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₁₄	2	-2	2	-2	2	2	-2	-2	-2	-2	2	2	2	-2	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	2	2	-2	-2	0	0	0	0	0	0
χ₁₅	2	-2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	-2	2	2	-2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0
χ₁₆	2	-2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	-2	-1	-1	1	1	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	ζ⁵²+ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	ζ²⁸+ζ⁹²	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	ζ⁴+ζ¹¹⁶	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0
χ₁₇	2	-2	2	-2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	2	-2	-1	-1	1	1	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	ζ²⁸+ζ⁹²	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ⁴+ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0
χ₁₈	2	-2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	-2	2	2	-2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0
χ₁₉	2	-2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	-2	-1	-1	1	1	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ²⁸+ζ⁹²	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	ζ⁵²+ζ⁶⁸	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0
χ₂₀	2	-2	2	-2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	2	-2	-1	-1	1	1	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	ζ⁴+ζ¹¹⁶	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	ζ⁵²+ζ⁶⁸	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	ζ²⁸+ζ⁹²	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0
χ₂₁	2	-2	-2	2	2	2	-2	2	-2	2	-2	-2	0	0	-1	1	-1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1	-1	1	-1	1	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₂₂	2	-2	-2	2	2	2	-2	2	-2	2	-2	-2	0	0	-1	1	-1	1	-1	-1	-1	-1	1	1	1	1	-1	1	-1	1	-1	1	-1	1	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₂₃	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1	-1	-1
χ₂₄	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₂₅	3	-3	3	-3	3	3	-3	-3	-3	-3	3	3	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$i$
χ₂₆	3	-3	3	-3	3	3	-3	-3	-3	-3	3	3	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$- i$
χ₂₇	4	4	-4	-4	4	4	4	-4	4	-4	-4	-4	0	0	1	-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
χ₂₈	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	1	-1	-1	1	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	1	-1	-1	1	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-4	-4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	-2	2	2	-2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	1	-1	-1	1	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	1	-1	-1	1	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴−ζ¹¹⁶	ζ⁴+ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁵²−ζ⁶⁸	ζ⁵²+ζ⁶⁸	−ζ²⁸−ζ⁹²	ζ²⁸+ζ⁹²	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	-4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	-2	2	2	-2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	-4	-4	4	4	4	-4	4	-4	4	-4	-4	0	0	1	-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
χ₃₅	4	-4	-4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	1	-1	1	-1	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	ζ²⁸+ζ⁹²	−ζ²⁸−ζ⁹²	ζ⁵²+ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ⁴+ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	-4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	1	-1	1	-1	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	ζ⁵²+ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ²⁸+ζ⁹²	−ζ²⁸−ζ⁹²	ζ⁴⁴+ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴+ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	-4	4	$- 1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	-2	2	-2	2	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	-4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	1	-1	1	-1	ζ⁴⁴+ζ⁷⁶	ζ⁴+ζ¹¹⁶	ζ²⁸+ζ⁹²	ζ⁵²+ζ⁶⁸	−ζ⁴⁴−ζ⁷⁶	−ζ⁴−ζ¹¹⁶	−ζ²⁸−ζ⁹²	−ζ⁵²−ζ⁶⁸	ζ⁴⁴+ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁴+ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ²⁸+ζ⁹²	−ζ²⁸−ζ⁹²	ζ⁵²+ζ⁶⁸	−ζ⁵²−ζ⁶⁸	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	-4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	1	-1	1	-1	ζ⁴+ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	ζ⁵²+ζ⁶⁸	ζ²⁸+ζ⁹²	−ζ⁴−ζ¹¹⁶	−ζ⁴⁴−ζ⁷⁶	−ζ⁵²−ζ⁶⁸	−ζ²⁸−ζ⁹²	ζ⁴+ζ¹¹⁶	−ζ⁴−ζ¹¹⁶	ζ⁴⁴+ζ⁷⁶	−ζ⁴⁴−ζ⁷⁶	ζ⁵²+ζ⁶⁸	−ζ⁵²−ζ⁶⁸	ζ²⁸+ζ⁹²	−ζ²⁸−ζ⁹²	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	-4	4	$- 1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	-2	2	-2	2	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0	0	0	0	0	0	0
χ₄₁	6	6	6	6	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0
χ₄₂	6	6	6	6	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0
χ₄₃	6	-6	6	-6	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0
χ₄₄	6	-6	6	-6	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 - 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{3 + 3 \sqrt{5}}{2}$	$\frac{- 3 + 3 \sqrt{5}}{2}$	$\frac{- 3 - 3 \sqrt{5}}{2}$	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0

Character table — Group #91184