Group #79 — 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
size	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
order	1	27	27	9	27	27	9	27	27	3	27	27	9	27	27	9	27	27	3	27	27	9	27	27	9	27	27
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
χ₂	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶	ζ⁷	ζ⁸	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁰	ζ¹¹	ζ¹²	ζ¹³	ζ¹⁴	ζ¹⁵	ζ¹⁶	ζ¹⁷	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁹	ζ²⁰	ζ²¹	ζ²²	ζ²³	ζ²⁴	ζ²⁵	ζ²⁶
χ₃	1	ζ²	ζ⁴	ζ⁶	ζ⁸	ζ¹⁰	ζ¹²	ζ¹⁴	ζ¹⁶	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²⁰	ζ²²	ζ²⁴	ζ²⁶	ζ	ζ³	ζ⁵	ζ⁷	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹¹	ζ¹³	ζ¹⁵	ζ¹⁷	ζ¹⁹	ζ²¹	ζ²³	ζ²⁵
χ₄	1	ζ³	ζ⁶	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹²	ζ¹⁵	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²¹	ζ²⁴	1	ζ³	ζ⁶	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹²	ζ¹⁵	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²¹	ζ²⁴	1	ζ³	ζ⁶	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹²	ζ¹⁵	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²¹	ζ²⁴
χ₅	1	ζ⁴	ζ⁸	ζ¹²	ζ¹⁶	ζ²⁰	ζ²⁴	ζ	ζ⁵	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹³	ζ¹⁷	ζ²¹	ζ²⁵	ζ²	ζ⁶	ζ¹⁰	ζ¹⁴	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²²	ζ²⁶	ζ³	ζ⁷	ζ¹¹	ζ¹⁵	ζ¹⁹	ζ²³
χ₆	1	ζ⁵	ζ¹⁰	ζ¹⁵	ζ²⁰	ζ²⁵	ζ³	ζ⁸	ζ¹³	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²³	ζ	ζ⁶	ζ¹¹	ζ¹⁶	ζ²¹	ζ²⁶	ζ⁴	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁴	ζ¹⁹	ζ²⁴	ζ²	ζ⁷	ζ¹²	ζ¹⁷	ζ²²
χ₇	1	ζ⁶	ζ¹²	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²⁴	ζ³	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁵	ζ²¹	1	ζ⁶	ζ¹²	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²⁴	ζ³	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁵	ζ²¹	1	ζ⁶	ζ¹²	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²⁴	ζ³	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁵	ζ²¹
χ₈	1	ζ⁷	ζ¹⁴	ζ²¹	ζ	ζ⁸	ζ¹⁵	ζ²²	ζ²	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁶	ζ²³	ζ³	ζ¹⁰	ζ¹⁷	ζ²⁴	ζ⁴	ζ¹¹	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²⁵	ζ⁵	ζ¹²	ζ¹⁹	ζ²⁶	ζ⁶	ζ¹³	ζ²⁰
χ₉	1	ζ⁸	ζ¹⁶	ζ²⁴	ζ⁵	ζ¹³	ζ²¹	ζ²	ζ¹⁰	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²⁶	ζ⁷	ζ¹⁵	ζ²³	ζ⁴	ζ¹²	ζ²⁰	ζ	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁷	ζ²⁵	ζ⁶	ζ¹⁴	ζ²²	ζ³	ζ¹¹	ζ¹⁹
χ₁₀	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₁₁	1	ζ¹⁰	ζ²⁰	ζ³	ζ¹³	ζ²³	ζ⁶	ζ¹⁶	ζ²⁶	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁹	ζ²	ζ¹²	ζ²²	ζ⁵	ζ¹⁵	ζ²⁵	ζ⁸	$\frac{- 1 - i \sqrt{3}}{2}$	ζ	ζ¹¹	ζ²¹	ζ⁴	ζ¹⁴	ζ²⁴	ζ⁷	ζ¹⁷
χ₁₂	1	ζ¹¹	ζ²²	ζ⁶	ζ¹⁷	ζ	ζ¹²	ζ²³	ζ⁷	$\frac{- 1 - i \sqrt{3}}{2}$	ζ²	ζ¹³	ζ²⁴	ζ⁸	ζ¹⁹	ζ³	ζ¹⁴	ζ²⁵	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²⁰	ζ⁴	ζ¹⁵	ζ²⁶	ζ¹⁰	ζ²¹	ζ⁵	ζ¹⁶
χ₁₃	1	ζ¹²	ζ²⁴	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²¹	ζ⁶	$\frac{- 1 - i \sqrt{3}}{2}$	ζ³	ζ¹⁵	1	ζ¹²	ζ²⁴	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²¹	ζ⁶	$\frac{- 1 - i \sqrt{3}}{2}$	ζ³	ζ¹⁵	1	ζ¹²	ζ²⁴	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²¹	ζ⁶	$\frac{- 1 - i \sqrt{3}}{2}$	ζ³	ζ¹⁵
χ₁₄	1	ζ¹³	ζ²⁶	ζ¹²	ζ²⁵	ζ¹¹	ζ²⁴	ζ¹⁰	ζ²³	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²²	ζ⁸	ζ²¹	ζ⁷	ζ²⁰	ζ⁶	ζ¹⁹	ζ⁵	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁴	ζ¹⁷	ζ³	ζ¹⁶	ζ²	ζ¹⁵	ζ	ζ¹⁴
χ₁₅	1	ζ¹⁴	ζ	ζ¹⁵	ζ²	ζ¹⁶	ζ³	ζ¹⁷	ζ⁴	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁵	ζ¹⁹	ζ⁶	ζ²⁰	ζ⁷	ζ²¹	ζ⁸	ζ²²	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²³	ζ¹⁰	ζ²⁴	ζ¹¹	ζ²⁵	ζ¹²	ζ²⁶	ζ¹³
χ₁₆	1	ζ¹⁵	ζ³	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁶	ζ²¹	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²⁴	ζ¹²	1	ζ¹⁵	ζ³	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁶	ζ²¹	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²⁴	ζ¹²	1	ζ¹⁵	ζ³	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁶	ζ²¹	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²⁴	ζ¹²
χ₁₇	1	ζ¹⁶	ζ⁵	ζ²¹	ζ¹⁰	ζ²⁶	ζ¹⁵	ζ⁴	ζ²⁰	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²⁵	ζ¹⁴	ζ³	ζ¹⁹	ζ⁸	ζ²⁴	ζ¹³	ζ²	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁷	ζ²³	ζ¹²	ζ	ζ¹⁷	ζ⁶	ζ²²	ζ¹¹
χ₁₈	1	ζ¹⁷	ζ⁷	ζ²⁴	ζ¹⁴	ζ⁴	ζ²¹	ζ¹¹	ζ	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁸	ζ²⁵	ζ¹⁵	ζ⁵	ζ²²	ζ¹²	ζ²	ζ¹⁹	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²⁶	ζ¹⁶	ζ⁶	ζ²³	ζ¹³	ζ³	ζ²⁰	ζ¹⁰
χ₁₉	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₂₀	1	ζ¹⁹	ζ¹¹	ζ³	ζ²²	ζ¹⁴	ζ⁶	ζ²⁵	ζ¹⁷	$\frac{- 1 + i \sqrt{3}}{2}$	ζ	ζ²⁰	ζ¹²	ζ⁴	ζ²³	ζ¹⁵	ζ⁷	ζ²⁶	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁰	ζ²	ζ²¹	ζ¹³	ζ⁵	ζ²⁴	ζ¹⁶	ζ⁸
χ₂₁	1	ζ²⁰	ζ¹³	ζ⁶	ζ²⁶	ζ¹⁹	ζ¹²	ζ⁵	ζ²⁵	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹¹	ζ⁴	ζ²⁴	ζ¹⁷	ζ¹⁰	ζ³	ζ²³	ζ¹⁶	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²	ζ²²	ζ¹⁵	ζ⁸	ζ	ζ²¹	ζ¹⁴	ζ⁷
χ₂₂	1	ζ²¹	ζ¹⁵	$\frac{- 1 + i \sqrt{3}}{2}$	ζ³	ζ²⁴	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹²	ζ⁶	1	ζ²¹	ζ¹⁵	$\frac{- 1 + i \sqrt{3}}{2}$	ζ³	ζ²⁴	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹²	ζ⁶	1	ζ²¹	ζ¹⁵	$\frac{- 1 + i \sqrt{3}}{2}$	ζ³	ζ²⁴	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹²	ζ⁶
χ₂₃	1	ζ²²	ζ¹⁷	ζ¹²	ζ⁷	ζ²	ζ²⁴	ζ¹⁹	ζ¹⁴	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁴	ζ²⁶	ζ²¹	ζ¹⁶	ζ¹¹	ζ⁶	ζ	ζ²³	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹³	ζ⁸	ζ³	ζ²⁵	ζ²⁰	ζ¹⁵	ζ¹⁰	ζ⁵
χ₂₄	1	ζ²³	ζ¹⁹	ζ¹⁵	ζ¹¹	ζ⁷	ζ³	ζ²⁶	ζ²²	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁴	ζ¹⁰	ζ⁶	ζ²	ζ²⁵	ζ²¹	ζ¹⁷	ζ¹³	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁵	ζ	ζ²⁴	ζ²⁰	ζ¹⁶	ζ¹²	ζ⁸	ζ⁴
χ₂₅	1	ζ²⁴	ζ²¹	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁵	ζ¹²	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁶	ζ³	1	ζ²⁴	ζ²¹	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁵	ζ¹²	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁶	ζ³	1	ζ²⁴	ζ²¹	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁵	ζ¹²	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁶	ζ³
χ₂₆	1	ζ²⁵	ζ²³	ζ²¹	ζ¹⁹	ζ¹⁷	ζ¹⁵	ζ¹³	ζ¹¹	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁷	ζ⁵	ζ³	ζ	ζ²⁶	ζ²⁴	ζ²²	ζ²⁰	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁶	ζ¹⁴	ζ¹²	ζ¹⁰	ζ⁸	ζ⁶	ζ⁴	ζ²
χ₂₇	1	ζ²⁶	ζ²⁵	ζ²⁴	ζ²³	ζ²²	ζ²¹	ζ²⁰	ζ¹⁹	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹⁷	ζ¹⁶	ζ¹⁵	ζ¹⁴	ζ¹³	ζ¹²	ζ¹¹	ζ¹⁰	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁸	ζ⁷	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ

Character table — Group #79