Group #72219553 — 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
size	1	1	40	40	48	48	60	60	60	60	60	200	288	288	288	288	400	400	400	400	450	800	900	900	960	960	1200	1200	1200	1200	1200	1200	1200	1200	1440	1440	1440	1440	1440	1800	1800
order	1	2	3	6	5	10	2	2	2	2	4	2	5	5	10	10	3	6	6	6	2	6	4	4	15	30	6	6	6	6	8	12	24	24	10	10	10	10	20	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	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
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
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
χ₅	8	8	5	5	3	3	0	0	0	0	4	4	-2	-2	-2	-2	2	2	-2	-2	0	1	0	0	0	0	0	0	0	0	2	1	-1	-1	0	0	0	0	-1	0	0
χ₆	8	8	5	5	3	3	0	0	0	0	4	-4	-2	-2	-2	-2	2	2	2	2	0	-1	0	0	0	0	0	0	0	0	-2	1	1	1	0	0	0	0	-1	0	0
χ₇	8	-8	-4	4	-2	2	0	0	4	-4	0	0	3	-2	2	-3	2	-2	0	0	0	0	0	0	1	-1	0	0	2	-2	0	0	0	0	0	0	1	-1	0	0	0
χ₈	8	-8	-4	4	-2	2	0	0	-4	4	0	0	3	-2	2	-3	2	-2	0	0	0	0	0	0	1	-1	0	0	-2	2	0	0	0	0	0	0	-1	1	0	0	0
χ₉	8	-8	-4	4	-2	2	4	-4	0	0	0	0	-2	3	-3	2	2	-2	0	0	0	0	0	0	1	-1	2	-2	0	0	0	0	0	0	1	-1	0	0	0	0	0
χ₁₀	8	-8	-4	4	-2	2	-4	4	0	0	0	0	-2	3	-3	2	2	-2	0	0	0	0	0	0	1	-1	-2	2	0	0	0	0	0	0	-1	1	0	0	0	0	0
χ₁₁	10	10	4	4	5	5	0	0	0	0	6	2	0	0	0	0	-2	-2	2	2	2	2	-2	-2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0
χ₁₂	10	10	4	4	5	5	0	0	0	0	6	-2	0	0	0	0	-2	-2	-2	-2	2	-2	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0
χ₁₃	12	12	6	6	7	7	0	0	0	0	4	0	2	2	2	2	0	0	0	0	-4	0	0	0	1	1	0	0	0	0	0	-2	0	0	0	0	0	0	-1	0	0
χ₁₄	16	16	4	4	-4	-4	4	4	4	4	0	4	1	1	1	1	1	1	1	1	0	-2	0	0	-1	-1	1	1	1	1	0	0	0	0	-1	-1	-1	-1	0	0	0
χ₁₅	16	16	4	4	-4	-4	4	4	-4	-4	0	-4	1	1	1	1	1	1	-1	-1	0	2	0	0	-1	-1	1	1	-1	-1	0	0	0	0	-1	-1	1	1	0	0	0
χ₁₆	16	16	4	4	-4	-4	-4	-4	4	4	0	-4	1	1	1	1	1	1	-1	-1	0	2	0	0	-1	-1	-1	-1	1	1	0	0	0	0	1	1	-1	-1	0	0	0
χ₁₇	16	16	4	4	-4	-4	-4	-4	-4	-4	0	4	1	1	1	1	1	1	1	1	0	-2	0	0	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	0	0	0
χ₁₈	16	-16	4	-4	-4	4	4	-4	4	-4	0	0	1	1	-1	-1	1	-1	3	-3	0	0	0	0	-1	1	-1	1	-1	1	0	0	0	0	1	-1	1	-1	0	0	0
χ₁₉	16	-16	4	-4	-4	4	4	-4	-4	4	0	0	1	1	-1	-1	1	-1	-3	3	0	0	0	0	-1	1	-1	1	1	-1	0	0	0	0	1	-1	-1	1	0	0	0
χ₂₀	16	-16	4	-4	-4	4	-4	4	4	-4	0	0	1	1	-1	-1	1	-1	-3	3	0	0	0	0	-1	1	1	-1	-1	1	0	0	0	0	-1	1	1	-1	0	0	0
χ₂₁	16	-16	4	-4	-4	4	-4	4	-4	4	0	0	1	1	-1	-1	1	-1	3	-3	0	0	0	0	-1	1	1	-1	1	-1	0	0	0	0	-1	1	-1	1	0	0	0
χ₂₂	18	18	0	0	3	3	0	0	6	6	-6	0	3	-2	-2	3	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	0	-2
χ₂₃	18	18	0	0	3	3	0	0	-6	-6	-6	0	3	-2	-2	3	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	0	2
χ₂₄	18	18	0	0	3	3	6	6	0	0	-6	0	-2	3	3	-2	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	-1	-2	0
χ₂₅	18	18	0	0	3	3	-6	-6	0	0	-6	0	-2	3	3	-2	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	-1	2	0
χ₂₆	25	25	-5	-5	0	0	5	5	5	5	5	1	0	0	0	0	1	1	1	1	1	1	1	1	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	1	1
χ₂₇	25	25	-5	-5	0	0	5	5	-5	-5	5	-1	0	0	0	0	1	1	-1	-1	1	-1	-1	-1	0	0	-1	-1	1	1	1	-1	1	1	0	0	0	0	0	1	-1
χ₂₈	25	25	-5	-5	0	0	-5	-5	5	5	5	-1	0	0	0	0	1	1	-1	-1	1	-1	-1	-1	0	0	1	1	-1	-1	1	-1	1	1	0	0	0	0	0	-1	1
χ₂₉	25	25	-5	-5	0	0	-5	-5	-5	-5	5	1	0	0	0	0	1	1	1	1	1	1	1	1	0	0	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	-1	-1
χ₃₀	32	-32	-4	4	-8	8	0	0	0	0	0	0	2	2	-2	-2	-4	4	0	0	0	0	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	36	-36	0	0	6	-6	6	-6	6	-6	0	0	1	1	-1	-1	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	-1	1	-1	1	0	0	0
χ₃₂	36	-36	0	0	6	-6	6	-6	-6	6	0	0	1	1	-1	-1	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	-1	1	1	-1	0	0	0
χ₃₃	36	-36	0	0	6	-6	-6	6	6	-6	0	0	1	1	-1	-1	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	1	-1	-1	1	0	0	0
χ₃₄	36	-36	0	0	6	-6	-6	6	-6	6	0	0	1	1	-1	-1	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	1	-1	1	-1	0	0	0
χ₃₅	40	40	1	1	-5	-5	0	0	0	0	4	4	0	0	0	0	-2	-2	-2	-2	0	1	0	0	1	1	0	0	0	0	-2	1	1	1	0	0	0	0	-1	0	0
χ₃₆	40	40	1	1	-5	-5	0	0	0	0	4	-4	0	0	0	0	-2	-2	2	2	0	-1	0	0	1	1	0	0	0	0	2	1	-1	-1	0	0	0	0	-1	0	0
χ₃₇	48	48	6	6	-2	-2	0	0	0	0	-8	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-2	0	0	0	0	0	0	2	0	0
χ₃₈	48	-48	6	-6	-2	2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	1	-1	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0
χ₃₉	48	-48	6	-6	-2	2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	1	-1	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0
χ₄₀	48	-48	-12	12	-2	2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	60	60	-6	-6	5	5	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	-4	0	0	0	-1	-1	0	0	0	0	0	2	0	0	0	0	0	0	1	0	0

Character table — Group #72219553