Group #14315914 — 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	C₅₄	C₅₅	C₅₆	C₅₇
size	1	1	2	2	2	4	4	4	4	8	8	8	8	8	8	8	10	10	16	16	16	16	20	20	20	20	20	24	24	24	24	24	24	32	32	32	40	40	40	40	40	40	40	40	40	60	60	60	60	80	80	80	96	120	120	120	120
order	1	2	3	4	6	5	8	10	12	2	15	20	24	30	40	40	2	4	6	60	120	120	6	8	12	24	24	2	16	80	80	80	80	10	30	30	2	8	8	16	16	48	48	48	48	4	4	8	8	6	24	24	10	4	4	4	16
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	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	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	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	-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	$i$	$- i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$- i$	$i$	$- i$	-1	$i$	$- i$	1	-1	$i$	$- i$	-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	$- i$	$i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$i$	$- i$	$i$	-1	$- i$	$i$	1	-1	$- i$	$i$	-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	$i$	$- i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$- i$	$i$	-1	$i$	$- i$	-1	1	$- i$	$i$	1
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	$- i$	$i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$i$	$- i$	-1	$- i$	$i$	-1	1	$i$	$- i$	1
χ₉	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	-1
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	-1	-1	-1	-1	-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	1	-1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	1
χ₁₂	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1
χ₁₃	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$i$	$- i$	1	$i$	$- i$	1	-1	$- i$	$i$	1
χ₁₄	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$- i$	$i$	1	$- i$	$i$	1	-1	$i$	$- i$	1
χ₁₅	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	1	$i$	$- i$	$- i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$i$	$- i$	$i$	1	$i$	$- i$	-1	1	$i$	$- i$	-1
χ₁₆	1	1	1	1	1	1	1	1	1	-1	1	1	1	1	1	1	-1	-1	-1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	1	$- i$	$i$	$i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$- i$	$i$	$- i$	1	$- i$	$i$	-1	1	$- i$	$i$	-1
χ₁₇	2	2	2	2	2	2	-2	2	2	0	2	2	-2	2	-2	-2	2	2	0	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	0	2	2	-2	-2	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	2	-2	2	2	0	2	2	-2	2	-2	-2	2	2	0	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	0	-2	-2	2	2	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	2	2	2	-2	2	2	0	2	2	-2	2	-2	-2	-2	-2	0	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	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	2	2	2	-2	2	2	0	2	2	-2	2	-2	-2	-2	-2	0	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	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0
χ₂₁	2	2	-1	2	-1	2	2	2	-1	2	-1	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	2	-1	-1	2	2	2	2	2	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	0	0	0	0	0
χ₂₂	2	2	-1	2	-1	2	2	2	-1	2	-1	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	2	-1	-1	2	-2	-2	-2	-2	1	1	1	1	0	0	0	0	-1	1	1	0	0	0	0	0
χ₂₃	2	2	-1	2	-1	2	2	2	-1	2	-1	2	-1	-1	2	2	-2	-2	-1	-1	-1	-1	1	-2	1	1	1	0	0	0	0	0	0	2	-1	-1	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	$- i$	$- i$	$i$	$i$	0	0	0	0	1	$- i$	$i$	0	0	0	0	0
χ₂₄	2	2	-1	2	-1	2	2	2	-1	2	-1	2	-1	-1	2	2	-2	-2	-1	-1	-1	-1	1	-2	1	1	1	0	0	0	0	0	0	2	-1	-1	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	$i$	$i$	$- i$	$- i$	0	0	0	0	1	$i$	$- i$	0	0	0	0	0
χ₂₅	2	2	-1	2	-1	2	2	2	-1	-2	-1	2	-1	-1	2	2	2	2	1	-1	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	-2	1	1	-2	2	2	-2	-2	1	1	1	1	0	0	0	0	1	-1	-1	0	0	0	0	0
χ₂₆	2	2	-1	2	-1	2	2	2	-1	-2	-1	2	-1	-1	2	2	2	2	1	-1	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	-2	1	1	-2	-2	-2	2	2	-1	-1	-1	-1	0	0	0	0	1	1	1	0	0	0	0	0
χ₂₇	2	2	-1	2	-1	2	2	2	-1	-2	-1	2	-1	-1	2	2	-2	-2	1	-1	-1	-1	1	-2	1	1	1	0	0	0	0	0	0	-2	1	1	2	$2 i$	$- 2 i$	$- 2 i$	$2 i$	$i$	$i$	$- i$	$- i$	0	0	0	0	-1	$- i$	$i$	0	0	0	0	0
χ₂₈	2	2	-1	2	-1	2	2	2	-1	-2	-1	2	-1	-1	2	2	-2	-2	1	-1	-1	-1	1	-2	1	1	1	0	0	0	0	0	0	-2	1	1	2	$- 2 i$	$2 i$	$2 i$	$- 2 i$	$- i$	$- i$	$i$	$i$	0	0	0	0	-1	$i$	$- i$	0	0	0	0	0
χ₂₉	4	4	4	4	4	-1	4	-1	4	4	-1	-1	4	-1	-1	-1	0	0	4	-1	-1	-1	0	0	0	0	0	4	4	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0
χ₃₀	4	4	4	4	4	-1	4	-1	4	4	-1	-1	4	-1	-1	-1	0	0	4	-1	-1	-1	0	0	0	0	0	-4	-4	1	1	1	1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0
χ₃₁	4	4	4	4	4	-1	4	-1	4	-4	-1	-1	4	-1	-1	-1	0	0	-4	-1	-1	-1	0	0	0	0	0	4	-4	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0
χ₃₂	4	4	4	4	4	-1	4	-1	4	-4	-1	-1	4	-1	-1	-1	0	0	-4	-1	-1	-1	0	0	0	0	0	-4	4	-1	-1	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0
χ₃₃	4	4	4	-4	4	4	0	4	-4	0	4	-4	0	4	0	0	4	-4	0	-4	0	0	4	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
χ₃₄	4	4	4	-4	4	4	0	4	-4	0	4	-4	0	4	0	0	-4	4	0	-4	0	0	-4	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
χ₃₅	4	4	-2	4	-2	4	-4	4	-2	0	-2	4	2	-2	-4	-4	4	4	0	-2	2	2	-2	-4	-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	0
χ₃₆	4	4	-2	4	-2	4	-4	4	-2	0	-2	4	2	-2	-4	-4	-4	-4	0	-2	2	2	2	4	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	0
χ₃₇	4	4	-2	-4	-2	4	0	4	2	0	-2	-4	0	-2	0	0	4	-4	0	2	0	0	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	4	-2	-4	-2	4	0	4	2	0	-2	-4	0	-2	0	0	4	-4	0	2	0	0	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	4	-2	-4	-2	4	0	4	2	0	-2	-4	0	-2	0	0	-4	4	0	2	0	0	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	-2	-4	-2	4	0	4	2	0	-2	-4	0	-2	0	0	-4	4	0	2	0	0	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	8	8	8	8	-2	-8	-2	8	0	-2	-2	-8	-2	2	2	0	0	0	-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	0	0	0	0	0	0
χ₄₂	8	8	8	-8	8	-2	0	-2	-8	0	-2	2	0	-2	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	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	-8	8	-2	0	-2	-8	0	-2	2	0	-2	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	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	-4	8	-4	-2	8	-2	-4	8	1	-2	-4	1	-2	-2	0	0	-4	1	1	1	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	8	8	-4	8	-4	-2	8	-2	-4	-8	1	-2	-4	1	-2	-2	0	0	4	1	1	1	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	8	8	-4	8	-4	-2	-8	-2	-4	0	1	-2	4	1	2	2	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{15}$	$i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	8	-4	8	-4	-2	-8	-2	-4	0	1	-2	4	1	2	2	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{15}$	$- i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	-8	8	0	-8	8	0	-8	0	0	8	0	0	-8	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	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	-8	8	0	-8	-2	0	2	0	0	-2	0	0	2	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	0	0	−ζ¹¹−ζ²⁹+ζ⁴⁷+ζ⁵⁹+ζ⁶¹+ζ⁷³−ζ⁹¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹³⁷+ζ¹³⁹−ζ¹⁴³−ζ²¹⁷+ζ²²¹−ζ²²³+ζ²³³	ζ¹¹+ζ²⁹−ζ⁴⁷−ζ⁵⁹−ζ⁶¹−ζ⁷³+ζ⁹¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹³⁷−ζ¹³⁹+ζ¹⁴³+ζ²¹⁷−ζ²²¹+ζ²²³−ζ²³³	ζ¹³+ζ³¹−ζ⁴¹−ζ⁴³−ζ⁷⁷−ζ⁷⁹+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹−ζ¹⁵⁷+ζ¹⁶⁹+ζ¹⁷³+ζ¹⁸⁷+ζ¹⁹¹−ζ²⁰³−ζ²³⁹	−ζ¹³−ζ³¹+ζ⁴¹+ζ⁴³+ζ⁷⁷+ζ⁷⁹−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹+ζ¹⁵⁷−ζ¹⁶⁹−ζ¹⁷³−ζ¹⁸⁷−ζ¹⁹¹+ζ²⁰³+ζ²³⁹	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	8	-8	8	0	-8	-2	0	2	0	0	-2	0	0	2	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	0	0	ζ¹¹+ζ²⁹−ζ⁴⁷−ζ⁵⁹−ζ⁶¹−ζ⁷³+ζ⁹¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹³⁷−ζ¹³⁹+ζ¹⁴³+ζ²¹⁷−ζ²²¹+ζ²²³−ζ²³³	−ζ¹¹−ζ²⁹+ζ⁴⁷+ζ⁵⁹+ζ⁶¹+ζ⁷³−ζ⁹¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹³⁷+ζ¹³⁹−ζ¹⁴³−ζ²¹⁷+ζ²²¹−ζ²²³+ζ²³³	−ζ¹³−ζ³¹+ζ⁴¹+ζ⁴³+ζ⁷⁷+ζ⁷⁹−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹+ζ¹⁵⁷−ζ¹⁶⁹−ζ¹⁷³−ζ¹⁸⁷−ζ¹⁹¹+ζ²⁰³+ζ²³⁹	ζ¹³+ζ³¹−ζ⁴¹−ζ⁴³−ζ⁷⁷−ζ⁷⁹+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹−ζ¹⁵⁷+ζ¹⁶⁹+ζ¹⁷³+ζ¹⁸⁷+ζ¹⁹¹−ζ²⁰³−ζ²³⁹	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	8	-8	8	0	-8	-2	0	2	0	0	-2	0	0	2	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	0	0	ζ¹³+ζ³¹−ζ⁴¹−ζ⁴³−ζ⁷⁷−ζ⁷⁹+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹−ζ¹⁵⁷+ζ¹⁶⁹+ζ¹⁷³+ζ¹⁸⁷+ζ¹⁹¹−ζ²⁰³−ζ²³⁹	−ζ¹³−ζ³¹+ζ⁴¹+ζ⁴³+ζ⁷⁷+ζ⁷⁹−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹+ζ¹⁵⁷−ζ¹⁶⁹−ζ¹⁷³−ζ¹⁸⁷−ζ¹⁹¹+ζ²⁰³+ζ²³⁹	ζ¹¹+ζ²⁹−ζ⁴⁷−ζ⁵⁹−ζ⁶¹−ζ⁷³+ζ⁹¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹³⁷−ζ¹³⁹+ζ¹⁴³+ζ²¹⁷−ζ²²¹+ζ²²³−ζ²³³	−ζ¹¹−ζ²⁹+ζ⁴⁷+ζ⁵⁹+ζ⁶¹+ζ⁷³−ζ⁹¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹³⁷+ζ¹³⁹−ζ¹⁴³−ζ²¹⁷+ζ²²¹−ζ²²³+ζ²³³	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	8	-8	8	0	-8	-2	0	2	0	0	-2	0	0	2	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	0	0	−ζ¹³−ζ³¹+ζ⁴¹+ζ⁴³+ζ⁷⁷+ζ⁷⁹−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹+ζ¹⁵⁷−ζ¹⁶⁹−ζ¹⁷³−ζ¹⁸⁷−ζ¹⁹¹+ζ²⁰³+ζ²³⁹	ζ¹³+ζ³¹−ζ⁴¹−ζ⁴³−ζ⁷⁷−ζ⁷⁹+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹−ζ¹⁵⁷+ζ¹⁶⁹+ζ¹⁷³+ζ¹⁸⁷+ζ¹⁹¹−ζ²⁰³−ζ²³⁹	−ζ¹¹−ζ²⁹+ζ⁴⁷+ζ⁵⁹+ζ⁶¹+ζ⁷³−ζ⁹¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹³⁷+ζ¹³⁹−ζ¹⁴³−ζ²¹⁷+ζ²²¹−ζ²²³+ζ²³³	ζ¹¹+ζ²⁹−ζ⁴⁷−ζ⁵⁹−ζ⁶¹−ζ⁷³+ζ⁹¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹³⁷−ζ¹³⁹+ζ¹⁴³+ζ²¹⁷−ζ²²¹+ζ²²³−ζ²³³	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	8	-8	-4	0	4	8	0	-8	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{6}$	$2 i \sqrt{6}$	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
χ₅₄	8	-8	-4	0	4	8	0	-8	0	0	-4	0	0	4	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{6}$	$- 2 i \sqrt{6}$	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
χ₅₅	16	16	-8	-16	-8	-4	0	-4	8	0	2	4	0	2	0	0	0	0	0	-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	0	0	0	0
χ₅₆	16	-16	-8	0	8	-4	0	4	0	0	2	0	0	-2	$2 \sqrt{10}$	$- 2 \sqrt{10}$	0	0	0	0	$- \sqrt{10}$	$\sqrt{10}$	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	0	0
χ₅₇	16	-16	-8	0	8	-4	0	4	0	0	2	0	0	-2	$- 2 \sqrt{10}$	$2 \sqrt{10}$	0	0	0	0	$\sqrt{10}$	$- \sqrt{10}$	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	0	0

Here ζ is a primitive root of unity of order 240 (ζ²⁴⁰ = 1); i = ζ⁶⁰.

Character table — Group #14315914