Finite Group Databasebeta

Character table — Group #27

Order 14.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄
size	1	1	1	1	1	1	1	1	1	1	1	1	1	1
order	1	7	7	7	7	7	7	2	14	14	14	14	14	14
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶
χ₃	1	ζ²	ζ⁴	ζ⁶	ζ	ζ³	ζ⁵	1	ζ²	ζ⁴	ζ⁶	ζ	ζ³	ζ⁵
χ₄	1	ζ³	ζ⁶	ζ²	ζ⁵	ζ	ζ⁴	1	ζ³	ζ⁶	ζ²	ζ⁵	ζ	ζ⁴
χ₅	1	ζ⁴	ζ	ζ⁵	ζ²	ζ⁶	ζ³	1	ζ⁴	ζ	ζ⁵	ζ²	ζ⁶	ζ³
χ₆	1	ζ⁵	ζ³	ζ	ζ⁶	ζ⁴	ζ²	1	ζ⁵	ζ³	ζ	ζ⁶	ζ⁴	ζ²
χ₇	1	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ	1	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ
χ₈	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1
χ₉	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶	-1	−ζ	−ζ²	−ζ³	−ζ⁴	−ζ⁵	−ζ⁶
χ₁₀	1	ζ²	ζ⁴	ζ⁶	ζ	ζ³	ζ⁵	-1	−ζ²	−ζ⁴	−ζ⁶	−ζ	−ζ³	−ζ⁵
χ₁₁	1	ζ³	ζ⁶	ζ²	ζ⁵	ζ	ζ⁴	-1	−ζ³	−ζ⁶	−ζ²	−ζ⁵	−ζ	−ζ⁴
χ₁₂	1	ζ⁴	ζ	ζ⁵	ζ²	ζ⁶	ζ³	-1	−ζ⁴	−ζ	−ζ⁵	−ζ²	−ζ⁶	−ζ³
χ₁₃	1	ζ⁵	ζ³	ζ	ζ⁶	ζ⁴	ζ²	-1	−ζ⁵	−ζ³	−ζ	−ζ⁶	−ζ⁴	−ζ²
χ₁₄	1	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ	-1	−ζ⁶	−ζ⁵	−ζ⁴	−ζ³	−ζ²	−ζ

Here ζ is a primitive root of unity of order 7 (ζ⁷ = 1).