Group #63689 — 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
size	1	1	2	2	2	2	2	6	6	8	8	8	8	8	8	8	8	8	8	8	8	12	12	36	36	36	36
order	1	2	2	3	6	6	6	4	4	9	9	9	18	18	18	18	18	18	18	18	18	12	12	2	4	8	8
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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0
χ₆	2	2	2	-1	-1	-1	-1	2	2	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	-1	-1	0	0	0	0
χ₇	2	2	2	-1	-1	-1	-1	2	2	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	-1	-1	0	0	0	0
χ₈	2	2	2	-1	-1	-1	-1	2	2	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ⁴+ζ⁵	ζ+ζ⁸	ζ+ζ⁸	ζ²+ζ⁷	ζ²+ζ⁷	-1	-1	0	0	0	0
χ₉	2	2	-2	2	-2	-2	2	-2	2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	2	-2	0	0	0	0
χ₁₀	2	2	-2	-1	1	1	-1	-2	2	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	-1	1	0	0	0	0
χ₁₁	2	2	-2	-1	1	1	-1	-2	2	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	-1	1	0	0	0	0
χ₁₂	2	2	-2	-1	1	1	-1	-2	2	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	−ζ⁴−ζ⁵	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ²−ζ⁷	-1	1	0	0	0	0
χ₁₃	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	-1	-1
χ₁₄	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1
χ₁₅	3	3	-3	3	-3	-3	3	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1	-1	1
χ₁₆	3	3	-3	3	-3	-3	3	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	1	-1
χ₁₇	4	-4	0	4	0	0	-4	0	0	1	1	1	-1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₁₈	4	-4	0	4	0	0	-4	0	0	1	1	1	-1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₁₉	4	-4	0	4	0	0	-4	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	-4	0	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	0	0	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ−ζ⁸	−ζ+ζ⁸	−ζ²+ζ⁷	ζ²−ζ⁷	ζ⁴−ζ⁵	−ζ⁴+ζ⁵	0	0	0	0	0	0
χ₂₁	4	-4	0	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	0	0	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	−ζ²+ζ⁷	ζ²−ζ⁷	ζ⁴−ζ⁵	−ζ⁴+ζ⁵	ζ−ζ⁸	−ζ+ζ⁸	0	0	0	0	0	0
χ₂₂	4	-4	0	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	0	0	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴−ζ⁵	−ζ⁴+ζ⁵	ζ−ζ⁸	−ζ+ζ⁸	−ζ²+ζ⁷	ζ²−ζ⁷	0	0	0	0	0	0
χ₂₃	4	-4	0	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	0	0	−ζ−ζ⁸	−ζ²−ζ⁷	−ζ⁴−ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	−ζ+ζ⁸	ζ−ζ⁸	ζ²−ζ⁷	−ζ²+ζ⁷	−ζ⁴+ζ⁵	ζ⁴−ζ⁵	0	0	0	0	0	0
χ₂₄	4	-4	0	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	0	0	−ζ²−ζ⁷	−ζ⁴−ζ⁵	−ζ−ζ⁸	ζ²+ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²−ζ⁷	−ζ²+ζ⁷	−ζ⁴+ζ⁵	ζ⁴−ζ⁵	−ζ+ζ⁸	ζ−ζ⁸	0	0	0	0	0	0
χ₂₅	4	-4	0	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	0	0	−ζ⁴−ζ⁵	−ζ−ζ⁸	−ζ²−ζ⁷	ζ⁴+ζ⁵	ζ+ζ⁸	ζ²+ζ⁷	−ζ⁴+ζ⁵	ζ⁴−ζ⁵	−ζ+ζ⁸	ζ−ζ⁸	ζ²−ζ⁷	−ζ²+ζ⁷	0	0	0	0	0	0
χ₂₆	6	6	6	-3	-3	-3	-3	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0
χ₂₇	6	6	-6	-3	3	3	-3	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	0	0

Character table — Group #63689