Group #253 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄
size	1	2	2	2	2	2	2	2	2	2	2	2	2	25
order	1	5	5	25	25	25	25	25	25	25	25	25	25	2
χ₁	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
χ₃	2	2	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	0
χ₄	2	2	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	0
χ₅	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ+ζ²⁴	ζ⁴+ζ²¹	ζ⁶+ζ¹⁹	ζ⁹+ζ¹⁶	ζ¹¹+ζ¹⁴	ζ²+ζ²³	ζ³+ζ²²	ζ⁷+ζ¹⁸	ζ⁸+ζ¹⁷	ζ¹²+ζ¹³	0
χ₆	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁴+ζ²¹	ζ⁹+ζ¹⁶	ζ+ζ²⁴	ζ¹¹+ζ¹⁴	ζ⁶+ζ¹⁹	ζ⁸+ζ¹⁷	ζ¹²+ζ¹³	ζ³+ζ²²	ζ⁷+ζ¹⁸	ζ²+ζ²³	0
χ₇	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁶+ζ¹⁹	ζ+ζ²⁴	ζ¹¹+ζ¹⁴	ζ⁴+ζ²¹	ζ⁹+ζ¹⁶	ζ¹²+ζ¹³	ζ⁷+ζ¹⁸	ζ⁸+ζ¹⁷	ζ²+ζ²³	ζ³+ζ²²	0
χ₈	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ⁹+ζ¹⁶	ζ¹¹+ζ¹⁴	ζ⁴+ζ²¹	ζ⁶+ζ¹⁹	ζ+ζ²⁴	ζ⁷+ζ¹⁸	ζ²+ζ²³	ζ¹²+ζ¹³	ζ³+ζ²²	ζ⁸+ζ¹⁷	0
χ₉	2	$\frac{- 1 + \sqrt{5}}{2}$	$\frac{- 1 - \sqrt{5}}{2}$	ζ¹¹+ζ¹⁴	ζ⁶+ζ¹⁹	ζ⁹+ζ¹⁶	ζ+ζ²⁴	ζ⁴+ζ²¹	ζ³+ζ²²	ζ⁸+ζ¹⁷	ζ²+ζ²³	ζ¹²+ζ¹³	ζ⁷+ζ¹⁸	0
χ₁₀	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ²+ζ²³	ζ⁸+ζ¹⁷	ζ¹²+ζ¹³	ζ⁷+ζ¹⁸	ζ³+ζ²²	ζ⁴+ζ²¹	ζ⁶+ζ¹⁹	ζ¹¹+ζ¹⁴	ζ⁹+ζ¹⁶	ζ+ζ²⁴	0
χ₁₁	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ³+ζ²²	ζ¹²+ζ¹³	ζ⁷+ζ¹⁸	ζ²+ζ²³	ζ⁸+ζ¹⁷	ζ⁶+ζ¹⁹	ζ⁹+ζ¹⁶	ζ⁴+ζ²¹	ζ+ζ²⁴	ζ¹¹+ζ¹⁴	0
χ₁₂	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁷+ζ¹⁸	ζ³+ζ²²	ζ⁸+ζ¹⁷	ζ¹²+ζ¹³	ζ²+ζ²³	ζ¹¹+ζ¹⁴	ζ⁴+ζ²¹	ζ+ζ²⁴	ζ⁶+ζ¹⁹	ζ⁹+ζ¹⁶	0
χ₁₃	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ⁸+ζ¹⁷	ζ⁷+ζ¹⁸	ζ²+ζ²³	ζ³+ζ²²	ζ¹²+ζ¹³	ζ⁹+ζ¹⁶	ζ+ζ²⁴	ζ⁶+ζ¹⁹	ζ¹¹+ζ¹⁴	ζ⁴+ζ²¹	0
χ₁₄	2	$\frac{- 1 - \sqrt{5}}{2}$	$\frac{- 1 + \sqrt{5}}{2}$	ζ¹²+ζ¹³	ζ²+ζ²³	ζ³+ζ²²	ζ⁸+ζ¹⁷	ζ⁷+ζ¹⁸	ζ+ζ²⁴	ζ¹¹+ζ¹⁴	ζ⁹+ζ¹⁶	ζ⁴+ζ²¹	ζ⁶+ζ¹⁹	0

Character table — Group #253