Group #11756722 — 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
size	1	1	2	4	4	4	4	5	5	6	6	8	8	8	8	10	16	16	16	16	16	16	16	16	24	24	30	30	40	40	40	40	60	60	60	60	60	60	60	60
order	1	2	2	5	10	10	10	2	2	4	4	3	6	6	6	2	15	15	30	30	30	30	30	30	20	20	4	4	6	6	6	6	4	4	4	4	8	8	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	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	-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	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
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	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
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	1	1	1	-1	-1	1	-1	1	-1	1	-1	1	-1
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	1	1	1	-1	-1	-1	1	-1	1	-1	1	-1	1
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	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$
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	-1	-1	-1	1	1	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	-2	-2	2	2	-1	-1	-1	-1	-2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₁	2	2	-2	2	-2	-2	2	2	2	2	-2	-1	-1	1	1	-2	-1	-1	-1	-1	1	1	1	1	2	-2	-2	2	-1	-1	1	1	0	0	0	0	0	0	0	0
χ₁₂	2	2	-2	2	-2	-2	2	-2	-2	2	-2	-1	-1	1	1	2	-1	-1	-1	-1	1	1	1	1	2	-2	2	-2	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₁₃	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	3	0	0	0	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	-1	-1
χ₁₄	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	3	0	0	0	0	0	0	0	0	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	-1	1	1	1	1
χ₁₅	3	3	3	3	3	3	3	-3	-3	-1	-1	0	0	0	0	-3	0	0	0	0	0	0	0	0	-1	-1	1	1	0	0	0	0	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
χ₁₆	3	3	3	3	3	3	3	-3	-3	-1	-1	0	0	0	0	-3	0	0	0	0	0	0	0	0	-1	-1	1	1	0	0	0	0	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
χ₁₇	3	3	-3	3	-3	-3	3	3	3	-1	1	0	0	0	0	-3	0	0	0	0	0	0	0	0	-1	1	1	-1	0	0	0	0	1	-1	1	-1	-1	1	-1	1
χ₁₈	3	3	-3	3	-3	-3	3	3	3	-1	1	0	0	0	0	-3	0	0	0	0	0	0	0	0	-1	1	1	-1	0	0	0	0	-1	1	-1	1	1	-1	1	-1
χ₁₉	3	3	-3	3	-3	-3	3	-3	-3	-1	1	0	0	0	0	3	0	0	0	0	0	0	0	0	-1	1	-1	1	0	0	0	0	$i$	$- i$	$- i$	$i$	$- i$	$i$	$i$	$- i$
χ₂₀	3	3	-3	3	-3	-3	3	-3	-3	-1	1	0	0	0	0	3	0	0	0	0	0	0	0	0	-1	1	-1	1	0	0	0	0	$- i$	$i$	$i$	$- i$	$i$	$- i$	$- i$	$i$
χ₂₁	4	4	4	-1	-1	-1	-1	0	0	4	4	4	4	4	4	0	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	-1	-1	-1	-1	0	0	4	4	-2	-2	-2	-2	0	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	-1	-1	-1	-1	0	0	4	4	-2	-2	-2	-2	0	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	-4	-1	1	1	-1	0	0	4	-4	4	4	-4	-4	0	-1	-1	-1	-1	1	1	1	1	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	-4	-1	1	1	-1	0	0	4	-4	-2	-2	2	2	0	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	-4	-1	1	1	-1	0	0	4	-4	-2	-2	2	2	0	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	0	4	0	0	-4	4	-4	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₈	4	-4	0	4	0	0	-4	4	-4	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₉	4	-4	0	4	0	0	-4	4	-4	0	0	-2	2	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	0	4	0	0	-4	-4	4	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	1	1	-1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	4	0	0	-4	-4	4	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	1	1	-1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₂	4	-4	0	4	0	0	-4	-4	4	0	0	-2	2	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	-8	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	0	0	0	2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	8	-8	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	0	0	0	2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	-8	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	0	0	0	-4	4	0	0	0	1	1	-1	-1	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	-8	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	0	0	0	2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	8	-8	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	0	0	0	2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	-8	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	0	0	0	-4	4	0	0	0	1	1	-1	-1	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	12	12	12	-3	-3	-3	-3	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	12	12	-12	-3	3	3	-3	0	0	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11756722