Group #14512508 — 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	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃
size	1	1	2	4	4	4	5	5	6	6	8	8	8	8	8	10	12	16	16	16	16	16	16	16	20	24	24	24	24	30	30	32	32	32	32	32	32	40	40	60	60	60	60	60	80	80	80	120	120	120	120	120	120
order	1	2	4	2	5	10	2	2	2	4	3	6	10	10	20	4	4	6	6	12	15	15	30	30	2	10	20	20	20	2	4	30	30	30	30	60	60	6	6	4	4	4	4	4	6	6	12	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	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	-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	1	-1	-1	-1	$i$	$i$	$- i$	$- i$	-1	-1	-1	$i$	$- i$	$i$	$- i$	$i$	$- i$
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	1	1	1	1	1	-1	-1	-1	$- i$	$- i$	$i$	$i$	-1	-1	-1	$- i$	$i$	$- i$	$i$	$- i$	$i$
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	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	-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	-1	-1	-1	1	1	-1	-1	1	$i$	$i$	$- i$	$- i$	1	1	-1	$- i$	$i$	$i$	$- i$	$- i$	$i$
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	-1	-1	-1	1	1	-1	-1	1	$- i$	$- i$	$i$	$i$	1	1	-1	$i$	$- i$	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	-1	-1	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0	-1	-1	-1	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	-2	-2	2	2	-1	-1	2	2	2	-2	2	-1	-1	-1	-1	-1	-1	-1	-2	2	2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	-2	0	0	0	0	1	1	1	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	2	2	2	2	2	-1	-1	-2	-2	2	2	-2	1	1	-1	-1	-1	-1	-1	-2	2	2	-2	-2	2	2	1	1	1	1	-1	-1	-1	-1	-2	0	0	0	0	1	1	-1	0	0	0	0	0	0
χ₁₂	2	2	2	-2	2	2	-2	-2	2	2	-1	-1	-2	-2	2	-2	-2	1	1	-1	-1	-1	-1	-1	2	2	2	-2	-2	-2	-2	1	1	1	1	-1	-1	1	1	2	0	0	0	0	-1	-1	1	0	0	0	0	0	0
χ₁₃	2	2	-2	0	2	2	2	2	-2	2	2	2	0	0	-2	-2	0	0	0	-2	2	2	2	2	0	-2	2	0	0	-2	2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	0
χ₁₄	2	2	-2	0	2	2	2	2	-2	2	-1	-1	0	0	-2	-2	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	-1	-1	-1	-1	0	-2	2	0	0	-2	2	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	1	1	-1	-1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	0	0	0	0	0	0
χ₁₅	2	2	-2	0	2	2	2	2	-2	2	-1	-1	0	0	-2	-2	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	-1	-1	-1	-1	0	-2	2	0	0	-2	2	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	1	1	-1	-1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	0	0	0	0	0	0
χ₁₆	2	2	-2	0	2	2	-2	-2	-2	2	2	2	0	0	-2	2	0	0	0	-2	2	2	2	2	0	-2	2	0	0	2	-2	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	0
χ₁₇	2	2	-2	0	2	2	-2	-2	-2	2	-1	-1	0	0	-2	2	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	-1	-1	-1	-1	0	-2	2	0	0	2	-2	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	1	1	1	1	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	0	0	0	0	0	0
χ₁₈	2	2	-2	0	2	2	-2	-2	-2	2	-1	-1	0	0	-2	2	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	-1	-1	-1	-1	0	-2	2	0	0	2	-2	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	1	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	0	0	0	0	0	0
χ₁₉	3	3	3	3	3	3	3	3	-1	-1	0	0	3	3	3	3	-1	0	0	0	0	0	0	0	3	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	1	1	1	1	0	0	0	-1	-1	-1	-1	1	1
χ₂₀	3	3	3	3	3	3	3	3	-1	-1	0	0	3	3	3	3	-1	0	0	0	0	0	0	0	3	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	0	0	0	1	1	1	1	-1	-1
χ₂₁	3	3	3	3	3	3	-3	-3	-1	-1	0	0	3	3	3	-3	-1	0	0	0	0	0	0	0	-3	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	$i$	$i$	$- i$	$- i$	0	0	0	$- i$	$i$	$- i$	$i$	$i$	$- i$
χ₂₂	3	3	3	3	3	3	-3	-3	-1	-1	0	0	3	3	3	-3	-1	0	0	0	0	0	0	0	-3	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	1	$- i$	$- i$	$i$	$i$	0	0	0	$i$	$- i$	$i$	$- i$	$- i$	$i$
χ₂₃	3	3	3	-3	3	3	3	3	-1	-1	0	0	-3	-3	3	3	1	0	0	0	0	0	0	0	-3	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	1	0	0	0	1	1	-1	-1	-1	-1
χ₂₄	3	3	3	-3	3	3	3	3	-1	-1	0	0	-3	-3	3	3	1	0	0	0	0	0	0	0	-3	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	1	-1	-1	-1	-1	0	0	0	-1	-1	1	1	1	1
χ₂₅	3	3	3	-3	3	3	-3	-3	-1	-1	0	0	-3	-3	3	-3	1	0	0	0	0	0	0	0	3	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	-1	$i$	$i$	$- i$	$- i$	0	0	0	$i$	$- i$	$- i$	$i$	$- i$	$i$
χ₂₆	3	3	3	-3	3	3	-3	-3	-1	-1	0	0	-3	-3	3	-3	1	0	0	0	0	0	0	0	3	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	-1	$- i$	$- i$	$i$	$i$	0	0	0	$- i$	$i$	$i$	$- i$	$i$	$- i$
χ₂₇	4	4	4	4	-1	-1	0	0	4	4	4	4	-1	-1	-1	0	4	4	4	4	-1	-1	-1	-1	0	-1	-1	-1	-1	0	0	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	-1	-1	0	0	4	4	-2	-2	-1	-1	-1	0	4	-2	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	-1	-1	-1	-1	0	0	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	-1	-1	0	0	4	4	-2	-2	-1	-1	-1	0	4	-2	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	-1	-1	-1	-1	0	0	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	-4	-1	-1	0	0	4	4	4	4	1	1	-1	0	-4	-4	-4	4	-1	-1	-1	-1	0	-1	-1	1	1	0	0	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	4	-4	-1	-1	0	0	4	4	-2	-2	1	1	-1	0	-4	2	2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	-1	-1	1	1	0	0	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	4	-4	-1	-1	0	0	4	4	-2	-2	1	1	-1	0	-4	2	2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	-1	-1	1	1	0	0	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-4	0	-1	-1	0	0	-4	4	4	4	$- \sqrt{5}$	$\sqrt{5}$	1	0	0	0	0	-4	-1	-1	-1	-1	0	1	-1	$- \sqrt{5}$	$\sqrt{5}$	0	0	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-4	0	-1	-1	0	0	-4	4	4	4	$\sqrt{5}$	$- \sqrt{5}$	1	0	0	0	0	-4	-1	-1	-1	-1	0	1	-1	$\sqrt{5}$	$- \sqrt{5}$	0	0	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	-4	0	-1	-1	0	0	-4	4	-2	-2	$- \sqrt{5}$	$\sqrt{5}$	1	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	1	-1	$- \sqrt{5}$	$\sqrt{5}$	0	0	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	-4	0	-1	-1	0	0	-4	4	-2	-2	$- \sqrt{5}$	$\sqrt{5}$	1	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	1	-1	$- \sqrt{5}$	$\sqrt{5}$	0	0	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-4	0	-1	-1	0	0	-4	4	-2	-2	$\sqrt{5}$	$- \sqrt{5}$	1	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	1	-1	$\sqrt{5}$	$- \sqrt{5}$	0	0	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	4	-4	0	-1	-1	0	0	-4	4	-2	-2	$\sqrt{5}$	$- \sqrt{5}$	1	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	1	-1	$\sqrt{5}$	$- \sqrt{5}$	0	0	−ζ²+ζ³⁴−ζ³⁸+ζ⁴⁶	−ζ¹⁴+ζ²²−ζ²⁶+ζ⁵⁸	ζ²−ζ³⁴+ζ³⁸−ζ⁴⁶	ζ¹⁴−ζ²²+ζ²⁶−ζ⁵⁸	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	0	0	4	-4	4	-4	0	0	-2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	0	0	4	-4	4	-4	0	0	-2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	0	0	4	-4	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	0	0	4	-4	-4	4	0	0	-2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	-6	0	6	6	6	6	2	-2	0	0	0	0	-6	-6	0	0	0	0	0	0	0	0	0	2	-2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	-6	0	6	6	-6	-6	2	-2	0	0	0	0	-6	6	0	0	0	0	0	0	0	0	0	2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	-8	0	0	8	-8	8	-8	0	0	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	-8	0	0	8	-8	-8	8	0	0	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	12	12	12	12	-3	-3	0	0	-4	-4	0	0	-3	-3	-3	0	-4	0	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	12	12	12	-12	-3	-3	0	0	-4	-4	0	0	3	3	-3	0	4	0	0	0	0	0	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	12	12	-12	0	-3	-3	0	0	4	-4	0	0	$- 3 \sqrt{5}$	$3 \sqrt{5}$	3	0	0	0	0	0	0	0	0	0	0	-1	1	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	12	12	-12	0	-3	-3	0	0	4	-4	0	0	$3 \sqrt{5}$	$- 3 \sqrt{5}$	3	0	0	0	0	0	0	0	0	0	0	-1	1	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	16	-16	0	0	-4	4	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	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
χ₅₂	16	-16	0	0	-4	4	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	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
χ₅₃	16	-16	0	0	-4	4	0	0	0	0	-8	8	0	0	0	0	0	0	0	0	2	2	-2	-2	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

Character table — Group #14512508