Group #72277508 — 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	C₃₄	C₃₅	C₃₆
size	1	2	6	6	6	6	6	12	18	18	18	36	36	36	36	54	54	54	81	81	81	108	108	108	162	162	162	162	162	162	162	162	162	162	162	162
order	1	3	3	3	9	9	9	3	9	9	9	9	9	9	9	3	3	3	2	2	2	3	3	3	6	6	6	6	6	6	18	18	18	18	18	18
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	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	1	1	1	-1	-1	-1
χ₃	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	-1	-1	-1
χ₄	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	1	1	1
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	0	2	0	-1	-1	-1	0	2	0	-1	-1	-1	0	0	0	0	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	0	-2	0	-1	-1	-1	0	-2	0	1	1	1	0	0	0	0	0	0
χ₇	2	2	2	2	2	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	0	0	2	-1	-1	-1	0	0	2	0	0	0	0	0	0	-1	-1	-1
χ₈	2	2	2	2	2	2	2	2	-1	-1	-1	2	-1	-1	-1	2	2	2	0	0	-2	-1	-1	-1	0	0	-2	0	0	0	0	0	0	1	1	1
χ₉	2	2	-1	2	2	2	2	-1	2	2	2	-1	-1	-1	-1	2	-1	-1	0	2	0	2	-1	-1	0	-1	0	2	-1	-1	0	0	0	0	0	0
χ₁₀	2	2	-1	2	2	2	2	-1	2	2	2	-1	-1	-1	-1	2	-1	-1	0	-2	0	2	-1	-1	0	1	0	-2	1	1	0	0	0	0	0	0
χ₁₁	2	2	-1	2	2	2	2	-1	2	2	2	-1	-1	-1	-1	-1	2	-1	0	2	0	-1	2	-1	0	-1	0	-1	2	-1	0	0	0	0	0	0
χ₁₂	2	2	-1	2	2	2	2	-1	2	2	2	-1	-1	-1	-1	-1	2	-1	0	-2	0	-1	2	-1	0	1	0	1	-2	1	0	0	0	0	0	0
χ₁₃	2	2	-1	2	2	2	2	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	0	2	0	-1	-1	2	0	-1	0	-1	-1	2	0	0	0	0	0	0
χ₁₄	2	2	-1	2	2	2	2	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	0	-2	0	-1	-1	2	0	1	0	1	1	-2	0	0	0	0	0	0
χ₁₅	4	4	4	4	4	4	4	4	-2	-2	-2	4	-2	-2	-2	-2	-2	-2	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	4	4	-2	4	4	4	4	-2	-2	-2	-2	-2	1	1	1	4	-2	-2	0	0	0	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	4	4	-2	4	4	4	4	-2	-2	-2	-2	-2	1	1	1	-2	4	-2	0	0	0	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	4	4	-2	4	4	4	4	-2	-2	-2	-2	-2	1	1	1	-2	-2	4	0	0	0	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	6	6	6	6	-3	-3	-3	6	0	0	0	-3	0	0	0	0	0	0	2	0	0	0	0	0	2	0	0	0	0	0	-1	-1	-1	0	0	0
χ₂₀	6	6	6	6	-3	-3	-3	6	0	0	0	-3	0	0	0	0	0	0	-2	0	0	0	0	0	-2	0	0	0	0	0	1	1	1	0	0	0
χ₂₁	6	6	6	-3	0	0	0	-3	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	0	0	0	2	0	0	0	0	0	-1	0	0	0	0	0	0	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵
χ₂₂	6	6	6	-3	0	0	0	-3	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	0	0	0	0	0	-2	0	0	0	0	0	1	0	0	0	0	0	0	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵
χ₂₃	6	6	6	-3	0	0	0	-3	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	0	0	0	2	0	0	0	0	0	-1	0	0	0	0	0	0	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸
χ₂₄	6	6	6	-3	0	0	0	-3	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	ζ−ζ²−ζ⁴−2ζ⁵	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	0	0	0	0	0	-2	0	0	0	0	0	1	0	0	0	0	0	0	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸
χ₂₅	6	6	6	-3	0	0	0	-3	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	0	0	0	2	0	0	0	0	0	-1	0	0	0	0	0	0	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷
χ₂₆	6	6	6	-3	0	0	0	-3	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	−2ζ+2ζ²−ζ⁴+ζ⁵	ζ−ζ²+2ζ⁴+ζ⁵	ζ−ζ²−ζ⁴−2ζ⁵	0	0	0	0	0	-2	0	0	0	0	0	1	0	0	0	0	0	0	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷
χ₂₇	12	12	-6	12	-6	-6	-6	-6	0	0	0	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	12	12	-6	-6	0	0	0	3	2ζ−2ζ²+4ζ⁴+2ζ⁵	2ζ−2ζ²−2ζ⁴−4ζ⁵	−4ζ+4ζ²−2ζ⁴+2ζ⁵	0	−ζ+ζ²−2ζ⁴−ζ⁵	−ζ+ζ²+ζ⁴+2ζ⁵	2ζ−2ζ²+ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	12	12	-6	-6	0	0	0	3	2ζ−2ζ²−2ζ⁴−4ζ⁵	−4ζ+4ζ²−2ζ⁴+2ζ⁵	2ζ−2ζ²+4ζ⁴+2ζ⁵	0	−ζ+ζ²+ζ⁴+2ζ⁵	2ζ−2ζ²+ζ⁴−ζ⁵	−ζ+ζ²−2ζ⁴−ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	12	12	-6	-6	0	0	0	3	−4ζ+4ζ²−2ζ⁴+2ζ⁵	2ζ−2ζ²+4ζ⁴+2ζ⁵	2ζ−2ζ²−2ζ⁴−4ζ⁵	0	2ζ−2ζ²+ζ⁴−ζ⁵	−ζ+ζ²−2ζ⁴−ζ⁵	−ζ+ζ²+ζ⁴+2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	18	-9	0	0	3ζ−3ζ²+6ζ⁴+3ζ⁵	3ζ−3ζ²−3ζ⁴−6ζ⁵	−6ζ+6ζ²−3ζ⁴+3ζ⁵	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	-1	0	0	0	0	0	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	0	0	0
χ₃₂	18	-9	0	0	3ζ−3ζ²+6ζ⁴+3ζ⁵	3ζ−3ζ²−3ζ⁴−6ζ⁵	−6ζ+6ζ²−3ζ⁴+3ζ⁵	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	1	0	0	0	0	0	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	0	0	0
χ₃₃	18	-9	0	0	3ζ−3ζ²−3ζ⁴−6ζ⁵	−6ζ+6ζ²−3ζ⁴+3ζ⁵	3ζ−3ζ²+6ζ⁴+3ζ⁵	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	-1	0	0	0	0	0	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	0	0	0
χ₃₄	18	-9	0	0	3ζ−3ζ²−3ζ⁴−6ζ⁵	−6ζ+6ζ²−3ζ⁴+3ζ⁵	3ζ−3ζ²+6ζ⁴+3ζ⁵	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	1	0	0	0	0	0	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	0	0	0
χ₃₅	18	-9	0	0	−6ζ+6ζ²−3ζ⁴+3ζ⁵	3ζ−3ζ²+6ζ⁴+3ζ⁵	3ζ−3ζ²−3ζ⁴−6ζ⁵	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	-1	0	0	0	0	0	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	0	0	0
χ₃₆	18	-9	0	0	−6ζ+6ζ²−3ζ⁴+3ζ⁵	3ζ−3ζ²+6ζ⁴+3ζ⁵	3ζ−3ζ²−3ζ⁴−6ζ⁵	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	1	0	0	0	0	0	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	0	0	0

Character table — Group #72277508