Finite Group Databasebeta

← Group #72225614

Character table — Group #72225614

Order 51840.

	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
size	1	36	45	80	240	270	480	540	540	540	720	1440	1440	1440	1440	1620	2160	3240	4320	4320	4320	5184	5184	5760	6480
order	1	2	2	3	3	2	3	2	4	4	6	6	6	6	6	4	6	4	6	12	12	5	10	9	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
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
χ₃	6	4	-2	-3	3	2	0	0	-2	2	1	1	1	-2	-2	2	-1	0	0	-1	1	1	-1	0	0
χ₄	6	-4	-2	-3	3	2	0	0	2	2	1	1	-1	-2	2	-2	-1	0	0	-1	-1	1	1	0	0
χ₅	10	0	-6	1	-2	2	4	0	0	2	-3	0	0	0	0	0	2	-2	0	-1	0	0	0	1	0
χ₆	15	5	7	-3	0	3	3	1	3	-1	1	-2	2	1	-1	-1	0	1	1	-1	0	0	0	0	-1
χ₇	15	5	-1	6	3	-1	0	-3	1	3	2	-1	-1	2	2	1	-1	-1	0	0	1	0	0	0	-1
χ₈	15	-5	7	-3	0	3	3	-1	-3	-1	1	-2	-2	1	1	1	0	1	-1	-1	0	0	0	0	1
χ₉	15	-5	-1	6	3	-1	0	3	-1	3	2	-1	1	2	-2	-1	-1	-1	0	0	-1	0	0	0	1
χ₁₀	20	0	4	-7	2	-4	2	0	0	4	1	-2	0	-2	0	0	2	0	0	1	0	0	0	-1	0
χ₁₁	20	10	4	2	5	4	-1	2	2	0	-2	1	1	1	1	2	1	0	-1	0	-1	0	0	-1	0
χ₁₂	20	-10	4	2	5	4	-1	-2	-2	0	-2	1	-1	1	-1	-2	1	0	1	0	1	0	0	-1	0
χ₁₃	24	4	8	6	0	0	3	4	0	0	2	2	-2	-1	1	0	0	0	1	0	0	-1	-1	0	0
χ₁₄	24	-4	8	6	0	0	3	-4	0	0	2	2	2	-1	-1	0	0	0	-1	0	0	-1	1	0	0
χ₁₅	30	10	-10	3	3	2	3	-2	-4	-2	-1	-1	1	-1	1	0	-1	0	1	1	-1	0	0	0	0
χ₁₆	30	-10	-10	3	3	2	3	2	4	-2	-1	-1	-1	-1	-1	0	-1	0	-1	1	1	0	0	0	0
χ₁₇	60	0	12	-3	-6	4	0	0	0	4	-3	0	0	0	0	0	-2	0	0	1	0	0	0	0	0
χ₁₈	60	10	-4	6	-3	4	-3	2	-2	0	2	-1	1	-1	1	-2	1	0	-1	0	1	0	0	0	0
χ₁₉	60	-10	-4	6	-3	4	-3	-2	2	0	2	-1	-1	-1	-1	2	1	0	1	0	-1	0	0	0	0
χ₂₀	64	16	0	-8	4	0	-2	0	0	0	0	0	-2	0	-2	0	0	0	0	0	0	-1	1	1	0
χ₂₁	64	-16	0	-8	4	0	-2	0	0	0	0	0	2	0	2	0	0	0	0	0	0	-1	-1	1	0
χ₂₂	80	0	-16	-10	-4	0	2	0	0	0	2	2	0	2	0	0	0	0	0	0	0	0	0	-1	0
χ₂₃	81	9	9	0	0	-3	0	-3	3	-3	0	0	0	0	0	-1	0	-1	0	0	0	1	-1	0	1
χ₂₄	81	-9	9	0	0	-3	0	3	-3	-3	0	0	0	0	0	1	0	-1	0	0	0	1	1	0	-1
χ₂₅	90	0	-6	9	0	-6	0	0	0	2	-3	0	0	0	0	0	0	2	0	-1	0	0	0	0	0