Group #13147125 — 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	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁
size	1	2	3	4	6	6	6	6	6	8	12	12	12	12	12	12	12	12	12	12	24	24	24	24	24	36	36	48	48	48	48	96	96	96	96	108	108	144	144	144	144
order	1	3	2	2	6	9	18	18	18	6	2	4	12	12	36	36	36	36	36	36	6	18	18	18	18	2	2	3	3	6	6	9	9	18	18	4	4	6	6	6	6
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	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
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	-1	-1	-1	-1	-1
χ₅	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₆	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₇	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	-1	1	-1	1	-1
χ₈	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₉	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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₀	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	1	-1	1	-1	1
χ₁₁	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	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	-1	1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	-1	1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₁₃	2	2	2	2	2	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	0	0	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	0	0	0	0	0
χ₁₅	2	2	2	2	2	-1	-1	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	-1	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	0	0	0	0	0
χ₁₆	2	2	2	-2	2	-1	-1	-1	-1	-2	-2	2	2	2	-1	-1	-1	-1	-1	-1	-2	1	1	1	1	0	0	2	2	-2	-2	-1	-1	1	1	0	0	0	0	0	0
χ₁₇	2	2	2	-2	2	-1	-1	-1	-1	-2	-2	2	2	2	-1	-1	-1	-1	-1	-1	-2	1	1	1	1	0	0	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	0	0	0	0	0	0
χ₁₈	2	2	2	-2	2	-1	-1	-1	-1	-2	-2	2	2	2	-1	-1	-1	-1	-1	-1	-2	1	1	1	1	0	0	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	0	0	0	0	0	0
χ₁₉	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	3	3	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0
χ₂₀	3	3	3	3	3	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	-3	-3	0	0	0	0	0	0	0	0	1	1	0	0	0	0
χ₂₁	3	3	3	-3	3	3	3	3	3	-3	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-3	1	1	1	3	-3	0	0	0	0	0	0	0	0	-1	1	0	0	0	0
χ₂₂	3	3	3	-3	3	3	3	3	3	-3	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-3	1	1	1	-3	3	0	0	0	0	0	0	0	0	1	-1	0	0	0	0
χ₂₃	6	6	6	6	6	-3	-3	-3	-3	6	-2	-2	-2	-2	1	1	1	1	1	1	-2	-3	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	6	6	-6	6	-3	-3	-3	-3	-6	2	-2	-2	-2	1	1	1	1	1	1	2	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	-3	6	6	-3	0	0	0	0	-3	6	6	-3	-3	0	0	0	0	0	0	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	-3	6	6	-3	0	0	0	0	-3	-2	-2	1	1	2ζ+2ζ⁸	2ζ+2ζ⁸	2ζ²+2ζ⁷	2ζ²+2ζ⁷	2ζ⁴+2ζ⁵	2ζ⁴+2ζ⁵	1	0	2ζ+2ζ⁸	2ζ²+2ζ⁷	2ζ⁴+2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	-3	6	6	-3	0	0	0	0	-3	-2	-2	1	1	2ζ²+2ζ⁷	2ζ²+2ζ⁷	2ζ⁴+2ζ⁵	2ζ⁴+2ζ⁵	2ζ+2ζ⁸	2ζ+2ζ⁸	1	0	2ζ²+2ζ⁷	2ζ⁴+2ζ⁵	2ζ+2ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	-3	6	6	-3	0	0	0	0	-3	-2	-2	1	1	2ζ⁴+2ζ⁵	2ζ⁴+2ζ⁵	2ζ+2ζ⁸	2ζ+2ζ⁸	2ζ²+2ζ⁷	2ζ²+2ζ⁷	1	0	2ζ⁴+2ζ⁵	2ζ+2ζ⁸	2ζ²+2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	6	-3	6	-6	-3	0	0	0	0	3	2	-2	1	1	2ζ+2ζ⁸	2ζ+2ζ⁸	2ζ²+2ζ⁷	2ζ²+2ζ⁷	2ζ⁴+2ζ⁵	2ζ⁴+2ζ⁵	-1	0	−2ζ−2ζ⁸	−2ζ²−2ζ⁷	−2ζ⁴−2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	6	-3	6	-6	-3	0	0	0	0	3	2	-2	1	1	2ζ²+2ζ⁷	2ζ²+2ζ⁷	2ζ⁴+2ζ⁵	2ζ⁴+2ζ⁵	2ζ+2ζ⁸	2ζ+2ζ⁸	-1	0	−2ζ²−2ζ⁷	−2ζ⁴−2ζ⁵	−2ζ−2ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	6	-3	6	-6	-3	0	0	0	0	3	2	-2	1	1	2ζ⁴+2ζ⁵	2ζ⁴+2ζ⁵	2ζ+2ζ⁸	2ζ+2ζ⁸	2ζ²+2ζ⁷	2ζ²+2ζ⁷	-1	0	−2ζ⁴−2ζ⁵	−2ζ−2ζ⁸	−2ζ²−2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	6	-3	6	-6	-3	0	0	0	0	3	-6	6	-3	-3	0	0	0	0	0	0	3	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	12	12	-4	0	-4	12	-4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	12	12	-4	0	-4	-6	2	2	2	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	12	12	-4	0	-4	-6	2	2	2	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	12	-6	-4	0	2	0	4ζ+4ζ⁸	4ζ²+4ζ⁷	4ζ⁴+4ζ⁵	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2ζ−2ζ⁸	−2ζ+2ζ⁸	−2ζ²+2ζ⁷	2ζ²−2ζ⁷	2ζ⁴−2ζ⁵	−2ζ⁴+2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	12	-6	-4	0	2	0	4ζ+4ζ⁸	4ζ²+4ζ⁷	4ζ⁴+4ζ⁵	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	−2ζ+2ζ⁸	2ζ−2ζ⁸	2ζ²−2ζ⁷	−2ζ²+2ζ⁷	−2ζ⁴+2ζ⁵	2ζ⁴−2ζ⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	12	-6	-4	0	2	0	4ζ²+4ζ⁷	4ζ⁴+4ζ⁵	4ζ+4ζ⁸	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	−2ζ²+2ζ⁷	2ζ²−2ζ⁷	2ζ⁴−2ζ⁵	−2ζ⁴+2ζ⁵	2ζ−2ζ⁸	−2ζ+2ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	12	-6	-4	0	2	0	4ζ²+4ζ⁷	4ζ⁴+4ζ⁵	4ζ+4ζ⁸	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2ζ²−2ζ⁷	−2ζ²+2ζ⁷	−2ζ⁴+2ζ⁵	2ζ⁴−2ζ⁵	−2ζ+2ζ⁸	2ζ−2ζ⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	12	-6	-4	0	2	0	4ζ⁴+4ζ⁵	4ζ+4ζ⁸	4ζ²+4ζ⁷	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2ζ⁴−2ζ⁵	−2ζ⁴+2ζ⁵	2ζ−2ζ⁸	−2ζ+2ζ⁸	−2ζ²+2ζ⁷	2ζ²−2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	12	-6	-4	0	2	0	4ζ⁴+4ζ⁵	4ζ+4ζ⁸	4ζ²+4ζ⁷	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	−2ζ⁴+2ζ⁵	2ζ⁴−2ζ⁵	−2ζ+2ζ⁸	2ζ−2ζ⁸	2ζ²−2ζ⁷	−2ζ²+2ζ⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13147125