Character table for $D_{30}$

The column representing the conjugacy class 5A1 is highlighted below.

		1A	2A	2B	2C	3A	5A1	5A2	6A	10A1	10A3	15A1	15A2	15A4	15A7	30A1	30A7	30A11	30A13
	Size	1	1	15	15	2	2	2	2	2	2	2	2	2	2	2	2	2	2
	2 P	1A	1A	1A	1A	3A	5A2	5A1	3A	5A1	5A2	15A2	15A4	15A7	15A1	15A1	15A7	15A4	15A2
	3 P	1A	2A	2B	2C	1A	5A2	5A1	2A	10A3	10A1	5A1	5A2	5A1	5A2	10A1	10A3	10A1	10A3
	5 P	1A	2A	2B	2C	3A	1A	1A	6A	2A	2A	3A	3A	3A	3A	6A	6A	6A	6A
	Type
60.12.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
60.12.1b	R	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
60.12.1c	R	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
60.12.1d	R	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
60.12.2a	R	$2$	$2$	$0$	$0$	$-1$	$2$	$2$	$-1$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
60.12.2b	R	$2$	$-2$	$0$	$0$	$-1$	$2$	$2$	$1$	$-2$	$-2$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$
60.12.2c1	R	$2$	$2$	$0$	$0$	$2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$
60.12.2c2	R	$2$	$2$	$0$	$0$	$2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$
60.12.2d1	R	$2$	$-2$	$0$	$0$	$2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$-2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$
60.12.2d2	R	$2$	$-2$	$0$	$0$	$2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$
60.12.2e1	R	$2$	$2$	$0$	$0$	$-1$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	$-1$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-1}+{\zeta }_{15}$
60.12.2e2	R	$2$	$2$	$0$	$0$	$-1$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	$-1$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$
60.12.2e3	R	$2$	$2$	$0$	$0$	$-1$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	$-1$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$
60.12.2e4	R	$2$	$2$	$0$	$0$	$-1$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	$-1$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$
60.12.2f1	R	$2$	$-2$	$0$	$0$	$-1$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	$1$	$-{\zeta }_{15}^{-3}-{\zeta }_{15}^3$	$-{\zeta }_{15}^{-6}-{\zeta }_{15}^6$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	$-{\zeta }_{15}^{-2}-{\zeta }_{15}^2$	$-{\zeta }_{15}^{-4}-{\zeta }_{15}^4$	$-{\zeta }_{15}^{-7}-{\zeta }_{15}^7$	$-{\zeta }_{15}^{-1}-{\zeta }_{15}$
60.12.2f2	R	$2$	$-2$	$0$	$0$	$-1$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	$1$	$-{\zeta }_{15}^{-3}-{\zeta }_{15}^3$	$-{\zeta }_{15}^{-6}-{\zeta }_{15}^6$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	$-{\zeta }_{15}^{-7}-{\zeta }_{15}^7$	$-{\zeta }_{15}^{-1}-{\zeta }_{15}$	$-{\zeta }_{15}^{-2}-{\zeta }_{15}^2$	$-{\zeta }_{15}^{-4}-{\zeta }_{15}^4$
60.12.2f3	R	$2$	$-2$	$0$	$0$	$-1$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	$1$	$-{\zeta }_{15}^{-6}-{\zeta }_{15}^6$	$-{\zeta }_{15}^{-3}-{\zeta }_{15}^3$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	$-{\zeta }_{15}^{-4}-{\zeta }_{15}^4$	$-{\zeta }_{15}^{-7}-{\zeta }_{15}^7$	$-{\zeta }_{15}^{-1}-{\zeta }_{15}$	$-{\zeta }_{15}^{-2}-{\zeta }_{15}^2$
60.12.2f4	R	$2$	$-2$	$0$	$0$	$-1$	${\zeta }_{15}^{-3}+{\zeta }_{15}^3$	${\zeta }_{15}^{-6}+{\zeta }_{15}^6$	$1$	$-{\zeta }_{15}^{-6}-{\zeta }_{15}^6$	$-{\zeta }_{15}^{-3}-{\zeta }_{15}^3$	${\zeta }_{15}^{-2}+{\zeta }_{15}^2$	${\zeta }_{15}^{-7}+{\zeta }_{15}^7$	${\zeta }_{15}^{-4}+{\zeta }_{15}^4$	${\zeta }_{15}^{-1}+{\zeta }_{15}$	$-{\zeta }_{15}^{-1}-{\zeta }_{15}$	$-{\zeta }_{15}^{-2}-{\zeta }_{15}^2$	$-{\zeta }_{15}^{-4}-{\zeta }_{15}^4$	$-{\zeta }_{15}^{-7}-{\zeta }_{15}^7$