Group #72219549 — 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
size	1	1	20	20	20	20	24	24	24	24	30	30	200	288	288	288	288	400	400	400	400	400	400	450	480	480	480	480	600	600	600	600	600	600	600	600	720	720	900	900
order	1	2	3	3	6	6	5	5	10	10	4	4	2	5	5	10	10	3	6	6	6	6	6	2	15	15	30	30	8	8	12	12	24	24	24	24	20	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
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
χ₃	4	4	1	4	1	4	4	-1	4	-1	0	4	2	-1	-1	-1	-1	1	2	-1	1	-1	-1	0	1	-1	1	-1	0	2	0	1	0	0	-1	-1	0	-1	0	0
χ₄	4	4	1	4	1	4	4	-1	4	-1	0	4	-2	-1	-1	-1	-1	1	-2	1	1	1	1	0	1	-1	1	-1	0	-2	0	1	0	0	1	1	0	-1	0	0
χ₅	4	4	4	1	4	1	-1	4	-1	4	4	0	2	-1	-1	-1	-1	1	-1	2	1	-1	-1	0	-1	1	-1	1	2	0	1	0	-1	-1	0	0	-1	0	0	0
χ₆	4	4	4	1	4	1	-1	4	-1	4	4	0	-2	-1	-1	-1	-1	1	1	-2	1	1	1	0	-1	1	-1	1	-2	0	1	0	1	1	0	0	-1	0	0	0
χ₇	5	5	5	-1	5	-1	0	5	0	5	5	1	1	0	0	0	0	-1	1	1	-1	1	1	1	0	-1	0	-1	1	-1	-1	1	1	1	-1	-1	0	1	-1	-1
χ₈	5	5	5	-1	5	-1	0	5	0	5	5	1	-1	0	0	0	0	-1	-1	-1	-1	-1	-1	1	0	-1	0	-1	-1	1	-1	1	-1	-1	1	1	0	1	1	1
χ₉	5	5	-1	5	-1	5	5	0	5	0	1	5	1	0	0	0	0	-1	1	1	-1	1	1	1	-1	0	-1	0	-1	1	1	-1	-1	-1	1	1	1	0	-1	-1
χ₁₀	5	5	-1	5	-1	5	5	0	5	0	1	5	-1	0	0	0	0	-1	-1	-1	-1	-1	-1	1	-1	0	-1	0	1	-1	1	-1	1	1	-1	-1	1	0	1	1
χ₁₁	6	6	0	6	0	6	6	1	6	1	-2	6	0	1	1	1	1	0	0	0	0	0	0	-2	0	1	0	1	0	0	-2	0	0	0	0	0	-2	1	0	0
χ₁₂	6	6	6	0	6	0	1	6	1	6	6	-2	0	1	1	1	1	0	0	0	0	0	0	-2	1	0	1	0	0	0	0	-2	0	0	0	0	1	-2	0	0
χ₁₃	8	-8	-4	-4	4	4	-2	-2	2	2	0	0	0	3	-2	2	-3	2	0	0	-2	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₄	8	-8	-4	-4	4	4	-2	-2	2	2	0	0	0	-2	3	-3	2	2	0	0	-2	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₅	16	16	4	4	4	4	-4	-4	-4	-4	0	0	4	1	1	1	1	1	-2	-2	1	1	1	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	16	16	4	4	4	4	-4	-4	-4	-4	0	0	-4	1	1	1	1	1	2	2	1	-1	-1	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₇	16	-16	4	4	-4	-4	-4	-4	4	4	0	0	0	1	1	-1	-1	1	0	0	-1	3	-3	0	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	16	-16	4	4	-4	-4	-4	-4	4	4	0	0	0	1	1	-1	-1	1	0	0	-1	-3	3	0	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	16	-16	4	-8	-4	8	-4	-4	4	4	0	0	0	1	1	-1	-1	-2	0	0	2	0	0	0	-1	2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	16	-16	-8	4	8	-4	-4	-4	4	4	0	0	0	1	1	-1	-1	-2	0	0	2	0	0	0	2	-1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	18	18	0	0	0	0	3	3	3	3	-6	-6	0	3	-2	-2	3	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0
χ₂₂	18	18	0	0	0	0	3	3	3	3	-6	-6	0	-2	3	3	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0
χ₂₃	20	20	5	-4	5	-4	0	-5	0	-5	0	4	2	0	0	0	0	-1	2	-1	-1	-1	-1	0	0	1	0	1	0	-2	0	1	0	0	1	1	0	-1	0	0
χ₂₄	20	20	5	-4	5	-4	0	-5	0	-5	0	4	-2	0	0	0	0	-1	-2	1	-1	1	1	0	0	1	0	1	0	2	0	1	0	0	-1	-1	0	-1	0	0
χ₂₅	20	20	-4	5	-4	5	-5	0	-5	0	4	0	2	0	0	0	0	-1	-1	2	-1	-1	-1	0	1	0	1	0	-2	0	1	0	1	1	0	0	-1	0	0	0
χ₂₆	20	20	-4	5	-4	5	-5	0	-5	0	4	0	-2	0	0	0	0	-1	1	-2	-1	1	1	0	1	0	1	0	2	0	1	0	-1	-1	0	0	-1	0	0	0
χ₂₇	24	24	0	6	0	6	-6	4	-6	4	-8	0	0	-1	-1	-1	-1	0	0	0	0	0	0	0	0	1	0	1	0	0	-2	0	0	0	0	0	2	0	0	0
χ₂₈	24	24	6	0	6	0	4	-6	4	-6	0	-8	0	-1	-1	-1	-1	0	0	0	0	0	0	0	1	0	1	0	0	0	0	-2	0	0	0	0	0	2	0	0
χ₂₉	24	-24	0	6	0	-6	-6	4	6	-4	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	1	0	-1	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0
χ₃₀	24	-24	0	6	0	-6	-6	4	6	-4	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	1	0	-1	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0
χ₃₁	24	-24	0	-12	0	12	-6	4	6	-4	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	24	-24	6	0	-6	0	4	-6	-4	6	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	1	0	-1	0	0	0	0	0	0	0	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0
χ₃₃	24	-24	6	0	-6	0	4	-6	-4	6	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	1	0	-1	0	0	0	0	0	0	0	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0
χ₃₄	24	-24	-12	0	12	0	4	-6	-4	6	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	25	25	-5	-5	-5	-5	0	0	0	0	5	5	1	0	0	0	0	1	1	1	1	1	1	1	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	0	0	1	1
χ₃₆	25	25	-5	-5	-5	-5	0	0	0	0	5	5	-1	0	0	0	0	1	-1	-1	1	-1	-1	1	0	0	0	0	1	1	-1	-1	1	1	1	1	0	0	-1	-1
χ₃₇	30	30	0	-6	0	-6	0	5	0	5	-10	6	0	0	0	0	0	0	0	0	0	0	0	-2	0	-1	0	-1	0	0	2	0	0	0	0	0	0	1	0	0
χ₃₈	30	30	-6	0	-6	0	5	0	5	0	6	-10	0	0	0	0	0	0	0	0	0	0	0	-2	-1	0	-1	0	0	0	0	2	0	0	0	0	1	0	0	0
χ₃₉	36	-36	0	0	0	0	6	6	-6	-6	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	0	0	0	2	-2
χ₄₀	36	-36	0	0	0	0	6	6	-6	-6	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	0	0	0	-2	2

Character table — Group #72219549