Group #91160 — 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
size	1	1	2	2	2	4	4	4	4	4	5	5	6	6	8	8	8	8	10	10	10	12	12	12	12	20	20	20	20	20	20	20	30	30	60	60
order	1	2	3	4	6	5	10	12	20	20	2	2	8	8	15	30	60	60	4	6	6	40	40	40	40	4	4	12	12	12	12	12	8	8	4	4
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
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
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
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
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	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	-1	-1	$i$	$- i$
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	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	-1	-1	$- i$	$i$
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	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	1	1	$- i$	$i$
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	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	1	1	$i$	$- i$
χ₉	2	2	2	-2	2	2	2	-2	-2	-2	2	2	0	0	2	2	-2	-2	-2	2	2	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	-2	2	2	2	-2	-2	-2	-2	-2	0	0	2	2	-2	-2	2	-2	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0
χ₁₁	2	2	-1	2	-1	2	2	-1	2	2	2	2	0	0	-1	-1	-1	-1	2	-1	-1	0	0	0	0	2	2	-1	-1	-1	-1	-1	0	0	0	0
χ₁₂	2	2	-1	2	-1	2	2	-1	2	2	2	2	0	0	-1	-1	-1	-1	2	-1	-1	0	0	0	0	-2	-2	-1	1	1	1	1	0	0	0	0
χ₁₃	2	2	-1	2	-1	2	2	-1	2	2	-2	-2	0	0	-1	-1	-1	-1	-2	1	1	0	0	0	0	$2 i$	$- 2 i$	1	$- i$	$- i$	$i$	$i$	0	0	0	0
χ₁₄	2	2	-1	2	-1	2	2	-1	2	2	-2	-2	0	0	-1	-1	-1	-1	-2	1	1	0	0	0	0	$- 2 i$	$2 i$	1	$i$	$i$	$- i$	$- i$	0	0	0	0
χ₁₅	2	2	-1	-2	-1	2	2	1	-2	-2	2	2	0	0	-1	-1	1	1	-2	-1	-1	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₁₆	2	2	-1	-2	-1	2	2	1	-2	-2	2	2	0	0	-1	-1	1	1	-2	-1	-1	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₁₇	2	2	-1	-2	-1	2	2	1	-2	-2	-2	-2	0	0	-1	-1	1	1	2	1	1	0	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₁₈	2	2	-1	-2	-1	2	2	1	-2	-2	-2	-2	0	0	-1	-1	1	1	2	1	1	0	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₁₉	2	-2	2	0	-2	2	-2	0	0	0	2	-2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	0	2	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₀	2	-2	2	0	-2	2	-2	0	0	0	2	-2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	0	2	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₁	2	-2	2	0	-2	2	-2	0	0	0	-2	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	0	0	0	-2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0
χ₂₂	2	-2	2	0	-2	2	-2	0	0	0	-2	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	0	0	0	-2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0
χ₂₃	4	4	4	4	4	-1	-1	4	-1	-1	0	0	4	4	-1	-1	-1	-1	0	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	4	4	-1	-1	4	-1	-1	0	0	-4	-4	-1	-1	-1	-1	0	0	0	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	-4	4	-1	-1	-4	1	1	0	0	0	0	-1	-1	1	1	0	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	-4	4	-1	-1	-4	1	1	0	0	0	0	-1	-1	1	1	0	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	4	0	-4	-1	1	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	−ζ⁷−ζ²³+ζ²⁹−ζ⁴⁷+ζ⁶¹+ζ¹⁰¹−ζ¹⁰³+ζ¹⁰⁹	ζ¹³−ζ³¹+ζ³⁷+ζ⁵³−ζ⁷¹+ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	ζ⁷+ζ²³−ζ²⁹+ζ⁴⁷−ζ⁶¹−ζ¹⁰¹+ζ¹⁰³−ζ¹⁰⁹	−ζ¹³+ζ³¹−ζ³⁷−ζ⁵³+ζ⁷¹−ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	-4	4	0	-4	-1	1	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	ζ⁷+ζ²³−ζ²⁹+ζ⁴⁷−ζ⁶¹−ζ¹⁰¹+ζ¹⁰³−ζ¹⁰⁹	−ζ¹³+ζ³¹−ζ³⁷−ζ⁵³+ζ⁷¹−ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	−ζ⁷−ζ²³+ζ²⁹−ζ⁴⁷+ζ⁶¹+ζ¹⁰¹−ζ¹⁰³+ζ¹⁰⁹	ζ¹³−ζ³¹+ζ³⁷+ζ⁵³−ζ⁷¹+ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	-4	4	0	-4	-1	1	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	ζ¹³−ζ³¹+ζ³⁷+ζ⁵³−ζ⁷¹+ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	−ζ⁷−ζ²³+ζ²⁹−ζ⁴⁷+ζ⁶¹+ζ¹⁰¹−ζ¹⁰³+ζ¹⁰⁹	−ζ¹³+ζ³¹−ζ³⁷−ζ⁵³+ζ⁷¹−ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	ζ⁷+ζ²³−ζ²⁹+ζ⁴⁷−ζ⁶¹−ζ¹⁰¹+ζ¹⁰³−ζ¹⁰⁹	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	4	0	-4	-1	1	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	−ζ¹³+ζ³¹−ζ³⁷−ζ⁵³+ζ⁷¹−ζ⁷⁷+ζ⁷⁹+ζ¹¹⁹	ζ⁷+ζ²³−ζ²⁹+ζ⁴⁷−ζ⁶¹−ζ¹⁰¹+ζ¹⁰³−ζ¹⁰⁹	ζ¹³−ζ³¹+ζ³⁷+ζ⁵³−ζ⁷¹+ζ⁷⁷−ζ⁷⁹−ζ¹¹⁹	−ζ⁷−ζ²³+ζ²⁹−ζ⁴⁷+ζ⁶¹+ζ¹⁰¹−ζ¹⁰³+ζ¹⁰⁹	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	-2	0	2	4	-4	0	0	0	4	-4	0	0	-2	2	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	-2	0	2	4	-4	0	0	0	-4	4	0	0	-2	2	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	8	8	-4	8	-4	-2	-2	-4	-2	-2	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
χ₃₄	8	8	-4	-8	-4	-2	-2	4	2	2	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
χ₃₅	8	-8	-4	0	4	-2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	0	0	0	0	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	-8	-4	0	4	-2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	0	0	0	0	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #91160