Group #1100 — 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	C₂₈	C₂₉	C₃₀
size	1	2	2	2	2	2	2	2	2	2	2	2	2	2	27	1	2	2	2	2	2	2	2	2	2	2	2	2	2	27
order	1	3	3	3	3	9	9	9	9	9	9	9	9	9	2	2	6	6	6	6	18	18	18	18	18	18	18	18	18	2
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	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	1	1	1	-1
χ₃	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0
χ₄	2	2	-1	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	0	2	2	-1	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	0
χ₅	2	2	-1	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	0	2	2	-1	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	0
χ₆	2	2	-1	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	2	2	-1	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0
χ₇	2	-1	2	-1	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0	2	-1	2	-1	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0
χ₈	2	-1	2	-1	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0	2	-1	2	-1	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0
χ₉	2	-1	2	-1	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0	2	-1	2	-1	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0
χ₁₀	2	-1	-1	2	-1	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	0	2	-1	-1	2	-1	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	0
χ₁₁	2	-1	-1	2	-1	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	0	2	-1	-1	2	-1	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	0
χ₁₂	2	-1	-1	2	-1	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	0	2	-1	-1	2	-1	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	0
χ₁₃	2	-1	-1	-1	2	2	-1	-1	-1	2	-1	-1	-1	2	0	2	-1	-1	-1	2	2	-1	-1	-1	2	-1	-1	-1	2	0
χ₁₄	2	-1	-1	-1	2	-1	2	-1	-1	-1	2	2	-1	-1	0	2	-1	-1	-1	2	-1	2	-1	-1	-1	2	2	-1	-1	0
χ₁₅	2	-1	-1	-1	2	-1	-1	2	2	-1	-1	-1	2	-1	0	2	-1	-1	-1	2	-1	-1	2	2	-1	-1	-1	2	-1	0
χ₁₆	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	-1	-1	-1
χ₁₇	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	-1	-1	1
χ₁₈	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	1	0
χ₁₉	2	2	-1	-1	-1	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	0	-2	-2	1	1	1	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	0
χ₂₀	2	2	-1	-1	-1	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	0	-2	-2	1	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	0
χ₂₁	2	2	-1	-1	-1	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	-2	-2	1	1	1	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	0
χ₂₂	2	-1	2	-1	-1	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0	-2	1	-2	1	1	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	0
χ₂₃	2	-1	2	-1	-1	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0	-2	1	-2	1	1	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	0
χ₂₄	2	-1	2	-1	-1	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0	-2	1	-2	1	1	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	0
χ₂₅	2	-1	-1	2	-1	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	0	-2	1	1	-2	1	−ζ−ζ⁸	−ζ⁴−ζ⁵	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ²−ζ⁷	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ−ζ⁸	−ζ⁴−ζ⁵	0
χ₂₆	2	-1	-1	2	-1	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	0	-2	1	1	-2	1	−ζ²−ζ⁷	−ζ−ζ⁸	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ⁴−ζ⁵	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ²−ζ⁷	−ζ−ζ⁸	0
χ₂₇	2	-1	-1	2	-1	ζ⁴+ζ⁵	ζ²+ζ⁷	ζ+ζ⁸	ζ²+ζ⁷	ζ+ζ⁸	ζ⁴+ζ⁵	ζ+ζ⁸	ζ⁴+ζ⁵	ζ²+ζ⁷	0	-2	1	1	-2	1	−ζ⁴−ζ⁵	−ζ²−ζ⁷	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ−ζ⁸	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ⁴−ζ⁵	−ζ²−ζ⁷	0
χ₂₈	2	-1	-1	-1	2	2	-1	-1	-1	2	-1	-1	-1	2	0	-2	1	1	1	-2	-2	1	1	1	-2	1	1	1	-2	0
χ₂₉	2	-1	-1	-1	2	-1	2	-1	-1	-1	2	2	-1	-1	0	-2	1	1	1	-2	1	-2	1	1	1	-2	-2	1	1	0
χ₃₀	2	-1	-1	-1	2	-1	-1	2	2	-1	-1	-1	2	-1	0	-2	1	1	1	-2	1	1	-2	-2	1	1	1	-2	1	0

Character table — Group #1100