Group #72224467 — 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
size	1	1	130	130	312	312	312	312	650	650	650	1200	1200	1200	1200	1200	1200	1300	1300	1300	1300	1560	1560	1560	1560	2600	2600	3900
order	1	2	2	4	5	5	10	10	3	4	6	13	13	13	26	26	26	8	12	24	24	10	10	20	20	6	12	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
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
χ₃	12	-12	0	0	2	-3	3	-2	0	0	0	-1	-1	-1	1	1	1	0	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0
χ₄	12	-12	0	0	2	-3	3	-2	0	0	0	-1	-1	-1	1	1	1	0	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0
χ₅	12	-12	0	0	-3	2	-2	3	0	0	0	-1	-1	-1	1	1	1	0	0	0	0	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	0
χ₆	12	-12	0	0	-3	2	-2	3	0	0	0	-1	-1	-1	1	1	1	0	0	0	0	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	0
χ₇	13	13	1	5	-2	3	3	-2	1	1	1	0	0	0	0	0	0	-1	1	-1	-1	1	1	0	0	1	-1	-1
χ₈	13	13	5	1	3	-2	-2	3	1	1	1	0	0	0	0	0	0	-1	1	-1	-1	0	0	1	1	-1	1	-1
χ₉	13	13	-5	-1	3	-2	-2	3	1	1	1	0	0	0	0	0	0	-1	1	-1	-1	0	0	-1	-1	1	-1	1
χ₁₀	13	13	-1	-5	-2	3	3	-2	1	1	1	0	0	0	0	0	0	-1	1	-1	-1	-1	-1	0	0	-1	1	1
χ₁₁	25	25	5	5	0	0	0	0	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	-1	-1	1
χ₁₂	25	25	-5	-5	0	0	0	0	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	1	1	-1
χ₁₃	26	26	4	4	1	1	1	1	-1	2	-1	0	0	0	0	0	0	2	-1	-1	-1	-1	-1	-1	-1	1	1	0
χ₁₄	26	26	4	-4	1	1	1	1	-1	2	-1	0	0	0	0	0	0	-2	-1	1	1	-1	-1	1	1	1	-1	0
χ₁₅	26	26	6	-6	1	1	1	1	2	-2	2	0	0	0	0	0	0	0	-2	0	0	1	1	-1	-1	0	0	0
χ₁₆	26	26	-6	6	1	1	1	1	2	-2	2	0	0	0	0	0	0	0	-2	0	0	-1	-1	1	1	0	0	0
χ₁₇	26	26	-4	4	1	1	1	1	-1	2	-1	0	0	0	0	0	0	-2	-1	1	1	1	1	-1	-1	-1	1	0
χ₁₈	26	26	-4	-4	1	1	1	1	-1	2	-1	0	0	0	0	0	0	2	-1	-1	-1	1	1	1	1	-1	-1	0
χ₁₉	48	48	0	0	-2	-2	-2	-2	0	0	0	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	48	48	0	0	-2	-2	-2	-2	0	0	0	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	48	48	0	0	-2	-2	-2	-2	0	0	0	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	48	-48	0	0	-2	-2	2	2	0	0	0	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	−ζ⁴−ζ¹²⁴−ζ¹⁸⁸−ζ²¹²−ζ²⁹²−ζ³⁰⁸−ζ³¹⁶−ζ³³²−ζ⁴¹²−ζ⁴³⁶−ζ⁵²⁴−ζ⁶⁰⁴−ζ⁶²⁸−ζ⁶⁴⁴−ζ⁷²⁴−ζ⁷⁴⁸−ζ⁸¹²−ζ⁸³⁶−ζ⁹¹⁶−ζ⁹³²−ζ⁹⁵⁶−ζ¹⁰³⁶−ζ¹¹²⁴−ζ¹¹⁴⁸−ζ¹²²⁸−ζ¹²⁴⁴−ζ¹²⁵²−ζ¹²⁶⁸−ζ¹³⁴⁸−ζ¹³⁷²−ζ¹⁴³⁶−ζ¹⁵⁵⁶	−ζ²⁸−ζ⁶⁸−ζ⁷⁶−ζ¹⁷²−ζ²³⁶−ζ²⁴⁴−ζ²⁸⁴−ζ³⁸⁸−ζ⁴⁵²−ζ⁴⁸⁴−ζ⁵⁴⁸−ζ⁵⁵⁶−ζ⁵⁹⁶−ζ⁶⁵²−ζ⁶⁹²−ζ⁷⁶⁴−ζ⁷⁹⁶−ζ⁸⁶⁸−ζ⁹⁰⁸−ζ⁹⁶⁴−ζ¹⁰⁰⁴−ζ¹⁰¹²−ζ¹⁰⁷⁶−ζ¹¹⁰⁸−ζ¹¹⁷²−ζ¹²⁷⁶−ζ¹³¹⁶−ζ¹³²⁴−ζ¹³⁸⁸−ζ¹⁴⁸⁴−ζ¹⁴⁹²−ζ¹⁵³²	−ζ⁴⁴−ζ⁹²−ζ¹¹⁶−ζ¹⁴⁸−ζ¹⁶⁴−ζ¹⁹⁶−ζ²⁶⁸−ζ³⁵⁶−ζ⁴⁰⁴−ζ⁴²⁸−ζ⁴⁷⁶−ζ⁵⁰⁸−ζ⁵³²−ζ⁶⁶⁸−ζ⁷¹⁶−ζ⁷⁷²−ζ⁷⁸⁸−ζ⁸⁴⁴−ζ⁸⁹²−ζ¹⁰²⁸−ζ¹⁰⁵²−ζ¹⁰⁸⁴−ζ¹¹³²−ζ¹¹⁵⁶−ζ¹²⁰⁴−ζ¹²⁹²−ζ¹³⁶⁴−ζ¹³⁹⁶−ζ¹⁴¹²−ζ¹⁴⁴⁴−ζ¹⁴⁶⁸−ζ¹⁵¹⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	48	-48	0	0	-2	-2	2	2	0	0	0	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	−ζ²⁸−ζ⁶⁸−ζ⁷⁶−ζ¹⁷²−ζ²³⁶−ζ²⁴⁴−ζ²⁸⁴−ζ³⁸⁸−ζ⁴⁵²−ζ⁴⁸⁴−ζ⁵⁴⁸−ζ⁵⁵⁶−ζ⁵⁹⁶−ζ⁶⁵²−ζ⁶⁹²−ζ⁷⁶⁴−ζ⁷⁹⁶−ζ⁸⁶⁸−ζ⁹⁰⁸−ζ⁹⁶⁴−ζ¹⁰⁰⁴−ζ¹⁰¹²−ζ¹⁰⁷⁶−ζ¹¹⁰⁸−ζ¹¹⁷²−ζ¹²⁷⁶−ζ¹³¹⁶−ζ¹³²⁴−ζ¹³⁸⁸−ζ¹⁴⁸⁴−ζ¹⁴⁹²−ζ¹⁵³²	−ζ⁴⁴−ζ⁹²−ζ¹¹⁶−ζ¹⁴⁸−ζ¹⁶⁴−ζ¹⁹⁶−ζ²⁶⁸−ζ³⁵⁶−ζ⁴⁰⁴−ζ⁴²⁸−ζ⁴⁷⁶−ζ⁵⁰⁸−ζ⁵³²−ζ⁶⁶⁸−ζ⁷¹⁶−ζ⁷⁷²−ζ⁷⁸⁸−ζ⁸⁴⁴−ζ⁸⁹²−ζ¹⁰²⁸−ζ¹⁰⁵²−ζ¹⁰⁸⁴−ζ¹¹³²−ζ¹¹⁵⁶−ζ¹²⁰⁴−ζ¹²⁹²−ζ¹³⁶⁴−ζ¹³⁹⁶−ζ¹⁴¹²−ζ¹⁴⁴⁴−ζ¹⁴⁶⁸−ζ¹⁵¹⁶	−ζ⁴−ζ¹²⁴−ζ¹⁸⁸−ζ²¹²−ζ²⁹²−ζ³⁰⁸−ζ³¹⁶−ζ³³²−ζ⁴¹²−ζ⁴³⁶−ζ⁵²⁴−ζ⁶⁰⁴−ζ⁶²⁸−ζ⁶⁴⁴−ζ⁷²⁴−ζ⁷⁴⁸−ζ⁸¹²−ζ⁸³⁶−ζ⁹¹⁶−ζ⁹³²−ζ⁹⁵⁶−ζ¹⁰³⁶−ζ¹¹²⁴−ζ¹¹⁴⁸−ζ¹²²⁸−ζ¹²⁴⁴−ζ¹²⁵²−ζ¹²⁶⁸−ζ¹³⁴⁸−ζ¹³⁷²−ζ¹⁴³⁶−ζ¹⁵⁵⁶	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	48	-48	0	0	-2	-2	2	2	0	0	0	ζ⁴⁴+ζ⁹²+ζ¹¹⁶+ζ¹⁴⁸+ζ¹⁶⁴+ζ¹⁹⁶+ζ²⁶⁸+ζ³⁵⁶+ζ⁴⁰⁴+ζ⁴²⁸+ζ⁴⁷⁶+ζ⁵⁰⁸+ζ⁵³²+ζ⁶⁶⁸+ζ⁷¹⁶+ζ⁷⁷²+ζ⁷⁸⁸+ζ⁸⁴⁴+ζ⁸⁹²+ζ¹⁰²⁸+ζ¹⁰⁵²+ζ¹⁰⁸⁴+ζ¹¹³²+ζ¹¹⁵⁶+ζ¹²⁰⁴+ζ¹²⁹²+ζ¹³⁶⁴+ζ¹³⁹⁶+ζ¹⁴¹²+ζ¹⁴⁴⁴+ζ¹⁴⁶⁸+ζ¹⁵¹⁶	ζ⁴+ζ¹²⁴+ζ¹⁸⁸+ζ²¹²+ζ²⁹²+ζ³⁰⁸+ζ³¹⁶+ζ³³²+ζ⁴¹²+ζ⁴³⁶+ζ⁵²⁴+ζ⁶⁰⁴+ζ⁶²⁸+ζ⁶⁴⁴+ζ⁷²⁴+ζ⁷⁴⁸+ζ⁸¹²+ζ⁸³⁶+ζ⁹¹⁶+ζ⁹³²+ζ⁹⁵⁶+ζ¹⁰³⁶+ζ¹¹²⁴+ζ¹¹⁴⁸+ζ¹²²⁸+ζ¹²⁴⁴+ζ¹²⁵²+ζ¹²⁶⁸+ζ¹³⁴⁸+ζ¹³⁷²+ζ¹⁴³⁶+ζ¹⁵⁵⁶	ζ²⁸+ζ⁶⁸+ζ⁷⁶+ζ¹⁷²+ζ²³⁶+ζ²⁴⁴+ζ²⁸⁴+ζ³⁸⁸+ζ⁴⁵²+ζ⁴⁸⁴+ζ⁵⁴⁸+ζ⁵⁵⁶+ζ⁵⁹⁶+ζ⁶⁵²+ζ⁶⁹²+ζ⁷⁶⁴+ζ⁷⁹⁶+ζ⁸⁶⁸+ζ⁹⁰⁸+ζ⁹⁶⁴+ζ¹⁰⁰⁴+ζ¹⁰¹²+ζ¹⁰⁷⁶+ζ¹¹⁰⁸+ζ¹¹⁷²+ζ¹²⁷⁶+ζ¹³¹⁶+ζ¹³²⁴+ζ¹³⁸⁸+ζ¹⁴⁸⁴+ζ¹⁴⁹²+ζ¹⁵³²	−ζ⁴⁴−ζ⁹²−ζ¹¹⁶−ζ¹⁴⁸−ζ¹⁶⁴−ζ¹⁹⁶−ζ²⁶⁸−ζ³⁵⁶−ζ⁴⁰⁴−ζ⁴²⁸−ζ⁴⁷⁶−ζ⁵⁰⁸−ζ⁵³²−ζ⁶⁶⁸−ζ⁷¹⁶−ζ⁷⁷²−ζ⁷⁸⁸−ζ⁸⁴⁴−ζ⁸⁹²−ζ¹⁰²⁸−ζ¹⁰⁵²−ζ¹⁰⁸⁴−ζ¹¹³²−ζ¹¹⁵⁶−ζ¹²⁰⁴−ζ¹²⁹²−ζ¹³⁶⁴−ζ¹³⁹⁶−ζ¹⁴¹²−ζ¹⁴⁴⁴−ζ¹⁴⁶⁸−ζ¹⁵¹⁶	−ζ⁴−ζ¹²⁴−ζ¹⁸⁸−ζ²¹²−ζ²⁹²−ζ³⁰⁸−ζ³¹⁶−ζ³³²−ζ⁴¹²−ζ⁴³⁶−ζ⁵²⁴−ζ⁶⁰⁴−ζ⁶²⁸−ζ⁶⁴⁴−ζ⁷²⁴−ζ⁷⁴⁸−ζ⁸¹²−ζ⁸³⁶−ζ⁹¹⁶−ζ⁹³²−ζ⁹⁵⁶−ζ¹⁰³⁶−ζ¹¹²⁴−ζ¹¹⁴⁸−ζ¹²²⁸−ζ¹²⁴⁴−ζ¹²⁵²−ζ¹²⁶⁸−ζ¹³⁴⁸−ζ¹³⁷²−ζ¹⁴³⁶−ζ¹⁵⁵⁶	−ζ²⁸−ζ⁶⁸−ζ⁷⁶−ζ¹⁷²−ζ²³⁶−ζ²⁴⁴−ζ²⁸⁴−ζ³⁸⁸−ζ⁴⁵²−ζ⁴⁸⁴−ζ⁵⁴⁸−ζ⁵⁵⁶−ζ⁵⁹⁶−ζ⁶⁵²−ζ⁶⁹²−ζ⁷⁶⁴−ζ⁷⁹⁶−ζ⁸⁶⁸−ζ⁹⁰⁸−ζ⁹⁶⁴−ζ¹⁰⁰⁴−ζ¹⁰¹²−ζ¹⁰⁷⁶−ζ¹¹⁰⁸−ζ¹¹⁷²−ζ¹²⁷⁶−ζ¹³¹⁶−ζ¹³²⁴−ζ¹³⁸⁸−ζ¹⁴⁸⁴−ζ¹⁴⁹²−ζ¹⁵³²	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	52	52	0	0	2	2	2	2	-2	-4	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0
χ₂₆	52	-52	0	0	2	2	-2	-2	4	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	52	-52	0	0	2	2	-2	-2	-2	0	2	0	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0
χ₂₈	52	-52	0	0	2	2	-2	-2	-2	0	2	0	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0

Here ζ is a primitive root of unity of order 1560 (ζ¹⁵⁶⁰ = 1); i = ζ³⁹⁰.

Character table — Group #72224467