Group #72239828 — 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
size	1	1	12	15	15	20	120	120	120	120	120	120	120	120	192	192	192	192	192	192	192	192	320	320	320	320
order	1	2	4	2	2	4	2	2	4	4	4	4	4	4	5	5	10	10	20	20	20	20	3	6	12	12
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
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
χ₃	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	0	0	0	0
χ₄	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	0	0	0	0
χ₅	3	3	-3	3	3	-3	-1	1	-1	1	-1	-1	1	1	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0	0	0	0
χ₆	3	3	-3	3	3	-3	-1	1	-1	1	-1	-1	1	1	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0	0	0	0
χ₇	4	4	4	4	4	4	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
χ₈	4	4	-4	4	4	-4	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1
χ₉	5	5	5	5	5	5	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	-1	-1	-1	-1
χ₁₀	5	5	-5	5	5	-5	1	-1	1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₁₁	12	-12	0	-4	4	0	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0
χ₁₂	12	-12	0	-4	4	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	−ζ¹¹+ζ¹⁹−ζ³¹+ζ⁵⁹	ζ¹¹−ζ¹⁹+ζ³¹−ζ⁵⁹	ζ⁷−ζ²³−ζ⁴³+ζ⁴⁷	−ζ⁷+ζ²³+ζ⁴³−ζ⁴⁷	0	0	0	0
χ₁₃	12	-12	0	-4	4	0	0	0	0	0	0	0	0	0	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	ζ¹¹−ζ¹⁹+ζ³¹−ζ⁵⁹	−ζ¹¹+ζ¹⁹−ζ³¹+ζ⁵⁹	−ζ⁷+ζ²³+ζ⁴³−ζ⁴⁷	ζ⁷−ζ²³−ζ⁴³+ζ⁴⁷	0	0	0	0
χ₁₄	12	-12	0	-4	4	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	ζ⁷−ζ²³−ζ⁴³+ζ⁴⁷	−ζ⁷+ζ²³+ζ⁴³−ζ⁴⁷	ζ¹¹−ζ¹⁹+ζ³¹−ζ⁵⁹	−ζ¹¹+ζ¹⁹−ζ³¹+ζ⁵⁹	0	0	0	0
χ₁₅	12	-12	0	-4	4	0	0	0	0	0	0	0	0	0	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	−ζ⁷+ζ²³+ζ⁴³−ζ⁴⁷	ζ⁷−ζ²³−ζ⁴³+ζ⁴⁷	−ζ¹¹+ζ¹⁹−ζ³¹+ζ⁵⁹	ζ¹¹−ζ¹⁹+ζ³¹−ζ⁵⁹	0	0	0	0
χ₁₆	15	15	5	-1	-1	-3	3	1	-1	1	-1	-1	1	-3	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	15	15	5	-1	-1	-3	-1	1	3	1	-1	-1	-3	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	15	15	5	-1	-1	-3	-1	1	-1	-3	3	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	15	15	5	-1	-1	-3	-1	-3	-1	1	-1	3	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	15	15	-5	-1	-1	3	3	-1	-1	-1	-1	-1	-1	3	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	15	15	-5	-1	-1	3	-1	3	-1	-1	-1	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	15	15	-5	-1	-1	3	-1	-1	3	-1	-1	-1	3	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	15	15	-5	-1	-1	3	-1	-1	-1	3	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	20	-20	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0
χ₂₅	20	-20	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$
χ₂₆	20	-20	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$

Character table — Group #72239828