Group #588 — 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	C₃₁	C₃₂	C₃₃
size	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	2	2	2	2	2	2	3	3	3	3	3	3	3	3	3	3	3
order	1	11	11	11	11	11	11	11	11	11	11	3	33	33	33	33	33	33	33	33	33	33	2	22	22	22	22	22	22	22	22	22	22
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	1	1	1
χ₂	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶	ζ⁷	ζ⁸	ζ⁹	ζ¹⁰	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶	ζ⁷	ζ⁸	ζ⁹	ζ¹⁰	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶	ζ⁷	ζ⁸	ζ⁹	ζ¹⁰
χ₃	1	ζ²	ζ⁴	ζ⁶	ζ⁸	ζ¹⁰	ζ	ζ³	ζ⁵	ζ⁷	ζ⁹	1	ζ²	ζ⁴	ζ⁶	ζ⁸	ζ¹⁰	ζ	ζ³	ζ⁵	ζ⁷	ζ⁹	1	ζ²	ζ⁴	ζ⁶	ζ⁸	ζ¹⁰	ζ	ζ³	ζ⁵	ζ⁷	ζ⁹
χ₄	1	ζ³	ζ⁶	ζ⁹	ζ	ζ⁴	ζ⁷	ζ¹⁰	ζ²	ζ⁵	ζ⁸	1	ζ³	ζ⁶	ζ⁹	ζ	ζ⁴	ζ⁷	ζ¹⁰	ζ²	ζ⁵	ζ⁸	1	ζ³	ζ⁶	ζ⁹	ζ	ζ⁴	ζ⁷	ζ¹⁰	ζ²	ζ⁵	ζ⁸
χ₅	1	ζ⁴	ζ⁸	ζ	ζ⁵	ζ⁹	ζ²	ζ⁶	ζ¹⁰	ζ³	ζ⁷	1	ζ⁴	ζ⁸	ζ	ζ⁵	ζ⁹	ζ²	ζ⁶	ζ¹⁰	ζ³	ζ⁷	1	ζ⁴	ζ⁸	ζ	ζ⁵	ζ⁹	ζ²	ζ⁶	ζ¹⁰	ζ³	ζ⁷
χ₆	1	ζ⁵	ζ¹⁰	ζ⁴	ζ⁹	ζ³	ζ⁸	ζ²	ζ⁷	ζ	ζ⁶	1	ζ⁵	ζ¹⁰	ζ⁴	ζ⁹	ζ³	ζ⁸	ζ²	ζ⁷	ζ	ζ⁶	1	ζ⁵	ζ¹⁰	ζ⁴	ζ⁹	ζ³	ζ⁸	ζ²	ζ⁷	ζ	ζ⁶
χ₇	1	ζ⁶	ζ	ζ⁷	ζ²	ζ⁸	ζ³	ζ⁹	ζ⁴	ζ¹⁰	ζ⁵	1	ζ⁶	ζ	ζ⁷	ζ²	ζ⁸	ζ³	ζ⁹	ζ⁴	ζ¹⁰	ζ⁵	1	ζ⁶	ζ	ζ⁷	ζ²	ζ⁸	ζ³	ζ⁹	ζ⁴	ζ¹⁰	ζ⁵
χ₈	1	ζ⁷	ζ³	ζ¹⁰	ζ⁶	ζ²	ζ⁹	ζ⁵	ζ	ζ⁸	ζ⁴	1	ζ⁷	ζ³	ζ¹⁰	ζ⁶	ζ²	ζ⁹	ζ⁵	ζ	ζ⁸	ζ⁴	1	ζ⁷	ζ³	ζ¹⁰	ζ⁶	ζ²	ζ⁹	ζ⁵	ζ	ζ⁸	ζ⁴
χ₉	1	ζ⁸	ζ⁵	ζ²	ζ¹⁰	ζ⁷	ζ⁴	ζ	ζ⁹	ζ⁶	ζ³	1	ζ⁸	ζ⁵	ζ²	ζ¹⁰	ζ⁷	ζ⁴	ζ	ζ⁹	ζ⁶	ζ³	1	ζ⁸	ζ⁵	ζ²	ζ¹⁰	ζ⁷	ζ⁴	ζ	ζ⁹	ζ⁶	ζ³
χ₁₀	1	ζ⁹	ζ⁷	ζ⁵	ζ³	ζ	ζ¹⁰	ζ⁸	ζ⁶	ζ⁴	ζ²	1	ζ⁹	ζ⁷	ζ⁵	ζ³	ζ	ζ¹⁰	ζ⁸	ζ⁶	ζ⁴	ζ²	1	ζ⁹	ζ⁷	ζ⁵	ζ³	ζ	ζ¹⁰	ζ⁸	ζ⁶	ζ⁴	ζ²
χ₁₁	1	ζ¹⁰	ζ⁹	ζ⁸	ζ⁷	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ	1	ζ¹⁰	ζ⁹	ζ⁸	ζ⁷	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ	1	ζ¹⁰	ζ⁹	ζ⁸	ζ⁷	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ
χ₁₂	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	-1	-1	-1
χ₁₃	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶	ζ⁷	ζ⁸	ζ⁹	ζ¹⁰	1	ζ	ζ²	ζ³	ζ⁴	ζ⁵	ζ⁶	ζ⁷	ζ⁸	ζ⁹	ζ¹⁰	-1	−ζ	−ζ²	−ζ³	−ζ⁴	−ζ⁵	−ζ⁶	−ζ⁷	−ζ⁸	−ζ⁹	−ζ¹⁰
χ₁₄	1	ζ²	ζ⁴	ζ⁶	ζ⁸	ζ¹⁰	ζ	ζ³	ζ⁵	ζ⁷	ζ⁹	1	ζ²	ζ⁴	ζ⁶	ζ⁸	ζ¹⁰	ζ	ζ³	ζ⁵	ζ⁷	ζ⁹	-1	−ζ²	−ζ⁴	−ζ⁶	−ζ⁸	−ζ¹⁰	−ζ	−ζ³	−ζ⁵	−ζ⁷	−ζ⁹
χ₁₅	1	ζ³	ζ⁶	ζ⁹	ζ	ζ⁴	ζ⁷	ζ¹⁰	ζ²	ζ⁵	ζ⁸	1	ζ³	ζ⁶	ζ⁹	ζ	ζ⁴	ζ⁷	ζ¹⁰	ζ²	ζ⁵	ζ⁸	-1	−ζ³	−ζ⁶	−ζ⁹	−ζ	−ζ⁴	−ζ⁷	−ζ¹⁰	−ζ²	−ζ⁵	−ζ⁸
χ₁₆	1	ζ⁴	ζ⁸	ζ	ζ⁵	ζ⁹	ζ²	ζ⁶	ζ¹⁰	ζ³	ζ⁷	1	ζ⁴	ζ⁸	ζ	ζ⁵	ζ⁹	ζ²	ζ⁶	ζ¹⁰	ζ³	ζ⁷	-1	−ζ⁴	−ζ⁸	−ζ	−ζ⁵	−ζ⁹	−ζ²	−ζ⁶	−ζ¹⁰	−ζ³	−ζ⁷
χ₁₇	1	ζ⁵	ζ¹⁰	ζ⁴	ζ⁹	ζ³	ζ⁸	ζ²	ζ⁷	ζ	ζ⁶	1	ζ⁵	ζ¹⁰	ζ⁴	ζ⁹	ζ³	ζ⁸	ζ²	ζ⁷	ζ	ζ⁶	-1	−ζ⁵	−ζ¹⁰	−ζ⁴	−ζ⁹	−ζ³	−ζ⁸	−ζ²	−ζ⁷	−ζ	−ζ⁶
χ₁₈	1	ζ⁶	ζ	ζ⁷	ζ²	ζ⁸	ζ³	ζ⁹	ζ⁴	ζ¹⁰	ζ⁵	1	ζ⁶	ζ	ζ⁷	ζ²	ζ⁸	ζ³	ζ⁹	ζ⁴	ζ¹⁰	ζ⁵	-1	−ζ⁶	−ζ	−ζ⁷	−ζ²	−ζ⁸	−ζ³	−ζ⁹	−ζ⁴	−ζ¹⁰	−ζ⁵
χ₁₉	1	ζ⁷	ζ³	ζ¹⁰	ζ⁶	ζ²	ζ⁹	ζ⁵	ζ	ζ⁸	ζ⁴	1	ζ⁷	ζ³	ζ¹⁰	ζ⁶	ζ²	ζ⁹	ζ⁵	ζ	ζ⁸	ζ⁴	-1	−ζ⁷	−ζ³	−ζ¹⁰	−ζ⁶	−ζ²	−ζ⁹	−ζ⁵	−ζ	−ζ⁸	−ζ⁴
χ₂₀	1	ζ⁸	ζ⁵	ζ²	ζ¹⁰	ζ⁷	ζ⁴	ζ	ζ⁹	ζ⁶	ζ³	1	ζ⁸	ζ⁵	ζ²	ζ¹⁰	ζ⁷	ζ⁴	ζ	ζ⁹	ζ⁶	ζ³	-1	−ζ⁸	−ζ⁵	−ζ²	−ζ¹⁰	−ζ⁷	−ζ⁴	−ζ	−ζ⁹	−ζ⁶	−ζ³
χ₂₁	1	ζ⁹	ζ⁷	ζ⁵	ζ³	ζ	ζ¹⁰	ζ⁸	ζ⁶	ζ⁴	ζ²	1	ζ⁹	ζ⁷	ζ⁵	ζ³	ζ	ζ¹⁰	ζ⁸	ζ⁶	ζ⁴	ζ²	-1	−ζ⁹	−ζ⁷	−ζ⁵	−ζ³	−ζ	−ζ¹⁰	−ζ⁸	−ζ⁶	−ζ⁴	−ζ²
χ₂₂	1	ζ¹⁰	ζ⁹	ζ⁸	ζ⁷	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ	1	ζ¹⁰	ζ⁹	ζ⁸	ζ⁷	ζ⁶	ζ⁵	ζ⁴	ζ³	ζ²	ζ	-1	−ζ¹⁰	−ζ⁹	−ζ⁸	−ζ⁷	−ζ⁶	−ζ⁵	−ζ⁴	−ζ³	−ζ²	−ζ
χ₂₃	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	2	2ζ	2ζ²	2ζ³	2ζ⁴	2ζ⁵	2ζ⁶	2ζ⁷	2ζ⁸	2ζ⁹	2ζ¹⁰	-1	−ζ	−ζ²	−ζ³	−ζ⁴	−ζ⁵	−ζ⁶	−ζ⁷	−ζ⁸	−ζ⁹	−ζ¹⁰	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	2	2ζ²	2ζ⁴	2ζ⁶	2ζ⁸	2ζ¹⁰	2ζ	2ζ³	2ζ⁵	2ζ⁷	2ζ⁹	-1	−ζ²	−ζ⁴	−ζ⁶	−ζ⁸	−ζ¹⁰	−ζ	−ζ³	−ζ⁵	−ζ⁷	−ζ⁹	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	2ζ³	2ζ⁶	2ζ⁹	2ζ	2ζ⁴	2ζ⁷	2ζ¹⁰	2ζ²	2ζ⁵	2ζ⁸	-1	−ζ³	−ζ⁶	−ζ⁹	−ζ	−ζ⁴	−ζ⁷	−ζ¹⁰	−ζ²	−ζ⁵	−ζ⁸	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	2ζ⁴	2ζ⁸	2ζ	2ζ⁵	2ζ⁹	2ζ²	2ζ⁶	2ζ¹⁰	2ζ³	2ζ⁷	-1	−ζ⁴	−ζ⁸	−ζ	−ζ⁵	−ζ⁹	−ζ²	−ζ⁶	−ζ¹⁰	−ζ³	−ζ⁷	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	2	2ζ⁵	2ζ¹⁰	2ζ⁴	2ζ⁹	2ζ³	2ζ⁸	2ζ²	2ζ⁷	2ζ	2ζ⁶	-1	−ζ⁵	−ζ¹⁰	−ζ⁴	−ζ⁹	−ζ³	−ζ⁸	−ζ²	−ζ⁷	−ζ	−ζ⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	2	2ζ⁶	2ζ	2ζ⁷	2ζ²	2ζ⁸	2ζ³	2ζ⁹	2ζ⁴	2ζ¹⁰	2ζ⁵	-1	−ζ⁶	−ζ	−ζ⁷	−ζ²	−ζ⁸	−ζ³	−ζ⁹	−ζ⁴	−ζ¹⁰	−ζ⁵	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	2	2ζ⁷	2ζ³	2ζ¹⁰	2ζ⁶	2ζ²	2ζ⁹	2ζ⁵	2ζ	2ζ⁸	2ζ⁴	-1	−ζ⁷	−ζ³	−ζ¹⁰	−ζ⁶	−ζ²	−ζ⁹	−ζ⁵	−ζ	−ζ⁸	−ζ⁴	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	2	2ζ⁸	2ζ⁵	2ζ²	2ζ¹⁰	2ζ⁷	2ζ⁴	2ζ	2ζ⁹	2ζ⁶	2ζ³	-1	−ζ⁸	−ζ⁵	−ζ²	−ζ¹⁰	−ζ⁷	−ζ⁴	−ζ	−ζ⁹	−ζ⁶	−ζ³	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	2	2ζ⁹	2ζ⁷	2ζ⁵	2ζ³	2ζ	2ζ¹⁰	2ζ⁸	2ζ⁶	2ζ⁴	2ζ²	-1	−ζ⁹	−ζ⁷	−ζ⁵	−ζ³	−ζ	−ζ¹⁰	−ζ⁸	−ζ⁶	−ζ⁴	−ζ²	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	2	2ζ¹⁰	2ζ⁹	2ζ⁸	2ζ⁷	2ζ⁶	2ζ⁵	2ζ⁴	2ζ³	2ζ²	2ζ	-1	−ζ¹⁰	−ζ⁹	−ζ⁸	−ζ⁷	−ζ⁶	−ζ⁵	−ζ⁴	−ζ³	−ζ²	−ζ	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #588