Group #14279360 — 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
size	1	1	2	2	2	4	4	4	4	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	16	16	20	20	40	40	40	40	40	48	48	48	48	48	80	80	80	80	80	80	120	120	120	120	120	120
order	1	2	2	3	6	4	5	6	10	4	10	12	15	20	20	30	30	30	12	20	20	60	60	60	60	60	60	4	4	2	6	6	12	12	8	40	40	40	40	4	4	12	12	12	12	2	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
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
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	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	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	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	$i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1	$i$	$i$	$- i$	$- i$
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	$- i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1	$- i$	$- i$	$i$	$i$
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	$i$	$- i$	$i$	$i$	$- i$	$- i$	1	1	$- i$	$- i$	$i$	$i$
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	$- i$	$i$	$- i$	$- i$	$i$	$i$	1	1	$i$	$i$	$- i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	-2	2	2	2	2	2	2	2	2	-2	-2	-2	2	2	-2	-2	-2	-2	2	2	-2	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	-2	2	2	2	2	2	2	2	2	-2	-2	-2	2	2	-2	-2	-2	-2	-2	-2	2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	0	0	0	0	0	2	2	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₂	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	0	0	0	0	0	-2	-2	1	1	1	1	0	0	0	0	0	0
χ₁₃	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	1	1	0	0	0	0	0	$2 i$	$- 2 i$	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0
χ₁₄	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	1	1	0	0	0	0	0	$- 2 i$	$2 i$	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0
χ₁₅	2	2	2	-1	-1	2	2	-1	2	-2	2	-1	-1	2	2	-1	-1	-1	1	-2	-2	-1	-1	1	1	1	1	2	2	-2	1	1	-1	-1	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0
χ₁₆	2	2	2	-1	-1	2	2	-1	2	-2	2	-1	-1	2	2	-1	-1	-1	1	-2	-2	-1	-1	1	1	1	1	2	2	-2	1	1	-1	-1	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0
χ₁₇	2	2	2	-1	-1	2	2	-1	2	-2	2	-1	-1	2	2	-1	-1	-1	1	-2	-2	-1	-1	1	1	1	1	-2	-2	2	-1	-1	1	1	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0
χ₁₈	2	2	2	-1	-1	2	2	-1	2	-2	2	-1	-1	2	2	-1	-1	-1	1	-2	-2	-1	-1	1	1	1	1	-2	-2	2	-1	-1	1	1	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0
χ₁₉	4	4	4	4	4	4	-1	4	-1	4	-1	4	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	4	4	-1	4	-1	4	-1	4	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	4	4	-1	4	-1	-4	-1	4	-1	-1	-1	-1	-1	-1	-4	1	1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	4	4	4	-1	4	-1	-4	-1	4	-1	-1	-1	-1	-1	-1	-4	1	1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	4	4	4	-4	4	4	4	0	4	-4	4	-4	-4	4	4	4	0	0	0	-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
χ₂₄	4	4	4	4	4	-4	-1	4	-1	0	-1	-4	-1	1	1	-1	-1	-1	0	$- \sqrt{5}$	$\sqrt{5}$	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	4	-4	-1	4	-1	0	-1	-4	-1	1	1	-1	-1	-1	0	$- \sqrt{5}$	$\sqrt{5}$	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	4	4	-4	-1	4	-1	0	-1	-4	-1	1	1	-1	-1	-1	0	$\sqrt{5}$	$- \sqrt{5}$	1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	4	4	-4	-1	4	-1	0	-1	-4	-1	1	1	-1	-1	-1	0	$\sqrt{5}$	$- \sqrt{5}$	1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	−ζ⁷+ζ¹¹−ζ¹⁹+ζ²³+ζ³¹+ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹+ζ¹⁹−ζ²³−ζ³¹−ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹−ζ¹⁹−ζ²³+ζ³¹−ζ⁴³+ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹+ζ¹⁹+ζ²³−ζ³¹+ζ⁴³−ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	-2	-2	-4	4	-2	4	0	4	2	-2	-4	-4	-2	-2	-2	0	0	0	2	2	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	-2	-2	-4	4	-2	4	0	4	2	-2	-4	-4	-2	-2	-2	0	0	0	2	2	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	-4	4	4	0	4	-4	4	0	-4	0	4	0	0	-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	2	-2	0	0	0	0
χ₃₁	4	4	-4	4	4	0	4	-4	4	0	-4	0	4	0	0	-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	-2	2	0	0	0	0
χ₃₂	4	-4	0	4	-4	0	4	0	-4	0	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$
χ₃₃	4	-4	0	4	-4	0	4	0	-4	0	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$
χ₃₄	4	-4	0	4	-4	0	4	0	-4	0	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$
χ₃₅	4	-4	0	4	-4	0	4	0	-4	0	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$
χ₃₆	8	8	8	-4	-4	8	-2	-4	-2	8	-2	-4	1	-2	-2	1	1	1	-4	-2	-2	1	1	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
χ₃₇	8	8	8	-4	-4	8	-2	-4	-2	-8	-2	-4	1	-2	-2	1	1	1	4	2	2	1	1	-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
χ₃₈	8	8	8	-4	-4	-8	-2	-4	-2	0	-2	4	1	2	2	1	1	1	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-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	0	0	0	0	0	0	0	0
χ₃₉	8	8	8	-4	-4	-8	-2	-4	-2	0	-2	4	1	2	2	1	1	1	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-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	0	0	0	0	0	0	0	0
χ₄₀	8	8	-8	8	8	0	-2	-8	-2	0	2	0	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	2	-2	0	0	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	8	-8	8	8	0	-2	-8	-2	0	2	0	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	2	-2	0	0	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	8	-8	-4	-4	0	8	4	8	0	-8	0	-4	0	0	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	0
χ₄₃	8	8	-8	-4	-4	0	-2	4	-2	0	2	0	1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	1	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	ζ²+ζ¹⁴−ζ²²−ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	−ζ²−ζ¹⁴+ζ²²+ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴+ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴−ζ²²+ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	8	8	-8	-4	-4	0	-2	4	-2	0	2	0	1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	1	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	−ζ²−ζ¹⁴+ζ²²+ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴−ζ²²+ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴+ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁸	0	0	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	-8	-4	-4	0	-2	4	-2	0	2	0	1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	1	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	−ζ²+ζ¹⁴+ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴−ζ²²+ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁸	−ζ²−ζ¹⁴+ζ²²+ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	8	-8	-4	-4	0	-2	4	-2	0	2	0	1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	1	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	ζ²−ζ¹⁴−ζ²²+ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴+ζ²²−ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶−ζ⁵⁸	ζ²+ζ¹⁴−ζ²²−ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶+ζ⁵⁸	−ζ²−ζ¹⁴+ζ²²+ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	-8	0	-4	4	0	8	0	-8	0	0	0	-4	0	0	0	0	4	0	0	0	0	0	0	0	0	0	$4 i$	$- 4 i$	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	0	-4	4	0	8	0	-8	0	0	0	-4	0	0	0	0	4	0	0	0	0	0	0	0	0	0	$- 4 i$	$4 i$	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	16	-16	0	16	-16	0	-4	0	4	0	0	0	-4	0	0	0	0	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	0
χ₅₀	16	-16	0	-8	8	0	-4	0	4	0	0	0	2	0	0	$- 2 i \sqrt{15}$	$2 i \sqrt{15}$	-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	0	0	0	0
χ₅₁	16	-16	0	-8	8	0	-4	0	4	0	0	0	2	0	0	$2 i \sqrt{15}$	$- 2 i \sqrt{15}$	-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	0	0	0	0

Character table — Group #14279360