Finite Group Databasebeta

← Group #72219556

Character table — Group #72219556

Order 15600.

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈
size	1	65	65	312	312	325	650	650	650	1200	1200	1200	1300	1300	1300	1560	1560	1950
order	1	2	2	5	5	2	3	4	6	13	13	13	6	6	12	10	10	4
χ₁	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
χ₃	13	1	5	3	-2	1	1	-1	1	0	0	0	1	-1	-1	0	1	-1
χ₄	13	5	1	-2	3	1	1	-1	1	0	0	0	-1	1	-1	1	0	-1
χ₅	13	-5	-1	-2	3	1	1	-1	1	0	0	0	1	-1	-1	-1	0	1
χ₆	13	-1	-5	3	-2	1	1	-1	1	0	0	0	-1	1	-1	0	-1	1
χ₇	25	5	5	0	0	1	1	1	1	-1	-1	-1	-1	-1	1	0	0	1
χ₈	25	-5	-5	0	0	1	1	1	1	-1	-1	-1	1	1	1	0	0	-1
χ₉	26	4	4	1	1	2	-1	2	-1	0	0	0	1	1	-1	-1	-1	0
χ₁₀	26	4	-4	1	1	2	-1	-2	-1	0	0	0	1	-1	1	1	-1	0
χ₁₁	26	6	-6	1	1	-2	2	0	-2	0	0	0	0	0	0	-1	1	0
χ₁₂	26	-6	6	1	1	-2	2	0	-2	0	0	0	0	0	0	1	-1	0
χ₁₃	26	-4	4	1	1	2	-1	-2	-1	0	0	0	-1	1	1	-1	1	0
χ₁₄	26	-4	-4	1	1	2	-1	2	-1	0	0	0	-1	-1	-1	1	1	0
χ₁₅	48	0	0	-2	-2	0	0	0	0	−ζ−ζ⁵−ζ⁸−ζ¹²	−ζ²−ζ³−ζ¹⁰−ζ¹¹	−ζ⁴−ζ⁶−ζ⁷−ζ⁹	0	0	0	0	0	0
χ₁₆	48	0	0	-2	-2	0	0	0	0	−ζ²−ζ³−ζ¹⁰−ζ¹¹	−ζ⁴−ζ⁶−ζ⁷−ζ⁹	−ζ−ζ⁵−ζ⁸−ζ¹²	0	0	0	0	0	0
χ₁₇	48	0	0	-2	-2	0	0	0	0	−ζ⁴−ζ⁶−ζ⁷−ζ⁹	−ζ−ζ⁵−ζ⁸−ζ¹²	−ζ²−ζ³−ζ¹⁰−ζ¹¹	0	0	0	0	0	0
χ₁₈	52	0	0	2	2	-4	-2	0	2	0	0	0	0	0	0	0	0	0

Here ζ is a primitive root of unity of order 13 (ζ¹³ = 1).