Character table for $C_4\times D_5$

The column representing the conjugacy class 2A is highlighted below.

		1A	2A	2B	2C	4A1	4A-1	4B1	4B-1	5A1	5A2	10A1	10A3	20A1	20A-1	20A3	20A-3
	Size	1	1	5	5	1	1	5	5	2	2	2	2	2	2	2	2
	2 P	1A	1A	1A	1A	2A	2A	2A	2A	5A2	5A1	5A1	5A2	10A1	10A1	10A3	10A3
	5 P	1A	2A	2B	2C	4A1	4A-1	4B1	4B-1	1A	1A	2A	2A	4A1	4A-1	4A-1	4A1
	Type
40.5.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
40.5.1b	R	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
40.5.1c	R	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
40.5.1d	R	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
40.5.1e1	C	$1$	$-1$	$-1$	$1$	$-i$	$i$	$i$	$-i$	$1$	$1$	$-1$	$-1$	$-i$	$i$	$i$	$-i$
40.5.1e2	C	$1$	$-1$	$-1$	$1$	$i$	$-i$	$-i$	$i$	$1$	$1$	$-1$	$-1$	$i$	$-i$	$-i$	$i$
40.5.1f1	C	$1$	$-1$	$1$	$-1$	$-i$	$i$	$-i$	$i$	$1$	$1$	$-1$	$-1$	$-i$	$i$	$i$	$-i$
40.5.1f2	C	$1$	$-1$	$1$	$-1$	$i$	$-i$	$i$	$-i$	$1$	$1$	$-1$	$-1$	$i$	$-i$	$-i$	$i$
40.5.2a1	R	$2$	$2$	$0$	$0$	$2$	$2$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$
40.5.2a2	R	$2$	$2$	$0$	$0$	$2$	$2$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$
40.5.2b1	R	$2$	$2$	$0$	$0$	$-2$	$-2$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$
40.5.2b2	R	$2$	$2$	$0$	$0$	$-2$	$-2$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$
40.5.2c1	C	$2$	$-2$	$0$	$0$	$-2{\zeta }_{20}^5$	$2{\zeta }_{20}^5$	$0$	$0$	$-{\zeta }_{20}^{-2}-{\zeta }_{20}^2$	${\zeta }_{20}^{-4}+{\zeta }_{20}^4$	$-{\zeta }_{20}^{-4}-{\zeta }_{20}^4$	${\zeta }_{20}^{-2}+{\zeta }_{20}^2$	${\zeta }_{20}^3+{\zeta }_{20}^7$	$-{\zeta }_{20}^3-{\zeta }_{20}^7$	${\zeta }_{20}^3-{\zeta }_{20}^5+{\zeta }_{20}^7$	$-{\zeta }_{20}^3+{\zeta }_{20}^5-{\zeta }_{20}^7$
40.5.2c2	C	$2$	$-2$	$0$	$0$	$2{\zeta }_{20}^5$	$-2{\zeta }_{20}^5$	$0$	$0$	$-{\zeta }_{20}^{-2}-{\zeta }_{20}^2$	${\zeta }_{20}^{-4}+{\zeta }_{20}^4$	$-{\zeta }_{20}^{-4}-{\zeta }_{20}^4$	${\zeta }_{20}^{-2}+{\zeta }_{20}^2$	$-{\zeta }_{20}^3-{\zeta }_{20}^7$	${\zeta }_{20}^3+{\zeta }_{20}^7$	$-{\zeta }_{20}^3+{\zeta }_{20}^5-{\zeta }_{20}^7$	${\zeta }_{20}^3-{\zeta }_{20}^5+{\zeta }_{20}^7$
40.5.2c3	C	$2$	$-2$	$0$	$0$	$-2{\zeta }_{20}^5$	$2{\zeta }_{20}^5$	$0$	$0$	${\zeta }_{20}^{-4}+{\zeta }_{20}^4$	$-{\zeta }_{20}^{-2}-{\zeta }_{20}^2$	${\zeta }_{20}^{-2}+{\zeta }_{20}^2$	$-{\zeta }_{20}^{-4}-{\zeta }_{20}^4$	$-{\zeta }_{20}^3+{\zeta }_{20}^5-{\zeta }_{20}^7$	${\zeta }_{20}^3-{\zeta }_{20}^5+{\zeta }_{20}^7$	$-{\zeta }_{20}^3-{\zeta }_{20}^7$	${\zeta }_{20}^3+{\zeta }_{20}^7$
40.5.2c4	C	$2$	$-2$	$0$	$0$	$2{\zeta }_{20}^5$	$-2{\zeta }_{20}^5$	$0$	$0$	${\zeta }_{20}^{-4}+{\zeta }_{20}^4$	$-{\zeta }_{20}^{-2}-{\zeta }_{20}^2$	${\zeta }_{20}^{-2}+{\zeta }_{20}^2$	$-{\zeta }_{20}^{-4}-{\zeta }_{20}^4$	${\zeta }_{20}^3-{\zeta }_{20}^5+{\zeta }_{20}^7$	$-{\zeta }_{20}^3+{\zeta }_{20}^5-{\zeta }_{20}^7$	${\zeta }_{20}^3+{\zeta }_{20}^7$	$-{\zeta }_{20}^3-{\zeta }_{20}^7$