Finite Group Databasebeta

Character table — Group #192

Order 44.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄
size	1	2	2	2	2	2	11	1	2	2	2	2	2	11
order	1	11	11	11	11	11	2	2	22	22	22	22	22	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	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	0	2	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	0
χ₄	2	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	0	2	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	0
χ₅	2	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	0	2	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	0
χ₆	2	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	0	2	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	0
χ₇	2	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	0	2	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	0
χ₈	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1
χ₉	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1
χ₁₀	2	ζ+ζ¹⁰	ζ²+ζ⁹	ζ³+ζ⁸	ζ⁴+ζ⁷	ζ⁵+ζ⁶	0	-2	−ζ−ζ¹⁰	−ζ²−ζ⁹	−ζ³−ζ⁸	−ζ⁴−ζ⁷	−ζ⁵−ζ⁶	0
χ₁₁	2	ζ²+ζ⁹	ζ⁴+ζ⁷	ζ⁵+ζ⁶	ζ³+ζ⁸	ζ+ζ¹⁰	0	-2	−ζ²−ζ⁹	−ζ⁴−ζ⁷	−ζ⁵−ζ⁶	−ζ³−ζ⁸	−ζ−ζ¹⁰	0
χ₁₂	2	ζ³+ζ⁸	ζ⁵+ζ⁶	ζ²+ζ⁹	ζ+ζ¹⁰	ζ⁴+ζ⁷	0	-2	−ζ³−ζ⁸	−ζ⁵−ζ⁶	−ζ²−ζ⁹	−ζ−ζ¹⁰	−ζ⁴−ζ⁷	0
χ₁₃	2	ζ⁴+ζ⁷	ζ³+ζ⁸	ζ+ζ¹⁰	ζ⁵+ζ⁶	ζ²+ζ⁹	0	-2	−ζ⁴−ζ⁷	−ζ³−ζ⁸	−ζ−ζ¹⁰	−ζ⁵−ζ⁶	−ζ²−ζ⁹	0
χ₁₄	2	ζ⁵+ζ⁶	ζ+ζ¹⁰	ζ⁴+ζ⁷	ζ²+ζ⁹	ζ³+ζ⁸	0	-2	−ζ⁵−ζ⁶	−ζ−ζ¹⁰	−ζ⁴−ζ⁷	−ζ²−ζ⁹	−ζ³−ζ⁸	0

Here ζ is a primitive root of unity of order 11 (ζ¹¹ = 1).