Group #10621541 — 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
size	1	1	2	6	6	6	6	6	6	12	12	12	12	12	12	14	14	28	28	28	28	42	42	56	56	56	56	56	56
order	1	2	4	2	4	7	14	28	28	14	14	14	28	28	28	2	2	3	3	6	6	4	4	6	6	6	6	12	12
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
χ₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
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
χ₈	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	-1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₉	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	-1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
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
χ₁₁	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	1	1	-1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₁₂	1	1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	1	1	-1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₁₃	3	3	3	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	3	3	0	0	0	0	-1	-1	0	0	0	0	0	0
χ₁₄	3	3	3	-1	-1	3	3	3	3	-1	-1	-1	-1	-1	-1	-3	-3	0	0	0	0	1	1	0	0	0	0	0	0
χ₁₅	3	3	-3	1	-1	3	3	-3	-3	1	1	1	-1	-1	-1	3	-3	0	0	0	0	-1	1	0	0	0	0	0	0
χ₁₆	3	3	-3	1	-1	3	3	-3	-3	1	1	1	-1	-1	-1	-3	3	0	0	0	0	1	-1	0	0	0	0	0	0
χ₁₇	4	-4	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0
χ₁₈	4	-4	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	$1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₉	4	-4	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	$1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₀	6	6	6	6	6	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	6	6	6	-2	-2	-1	-1	-1	-1	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	6	6	6	-2	-2	-1	-1	-1	-1	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	6	6	6	-2	-2	-1	-1	-1	-1	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	6	6	-6	2	-2	-1	-1	1	1	−ζ²+ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²+ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²+ζ⁷⁴+ζ⁸²	ζ²−ζ¹⁰+ζ²²+ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰+ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁸²	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	6	-6	2	-2	-1	-1	1	1	ζ²+ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²+ζ⁷⁴+ζ⁸²	ζ²−ζ¹⁰+ζ²²+ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰+ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²+ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁸²	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	6	6	-6	2	-2	-1	-1	1	1	ζ²−ζ¹⁰+ζ²²+ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰+ζ⁵⁸+ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²+ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²+ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²+ζ⁷⁴+ζ⁸²	−ζ²+ζ¹⁰−ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁰−ζ⁵⁸−ζ⁶²+ζ⁷⁴−ζ⁸²	ζ²−ζ¹⁰−ζ²²+ζ²⁶−ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁰+ζ⁵⁸−ζ⁶²−ζ⁷⁴+ζ⁸²	−ζ²−ζ¹⁰+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁰−ζ⁵⁸+ζ⁶²−ζ⁷⁴−ζ⁸²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	6	6	-6	-6	6	-1	-1	1	1	1	1	1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	12	-12	0	0	0	-2	2	$2 \sqrt{7}$	$- 2 \sqrt{7}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	12	-12	0	0	0	-2	2	$- 2 \sqrt{7}$	$2 \sqrt{7}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #10621541