Character table for $C_5:C_4$

The column representing the conjugacy class 4A-1 is highlighted below.

		1A	2A	4A1	4A-1	5A1	5A2	10A1	10A3
	Size	1	1	5	5	2	2	2	2
	2 P	1A	1A	2A	2A	5A2	5A1	5A1	5A2
	5 P	1A	2A	4A1	4A-1	1A	1A	2A	2A
	Type
20.1.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
20.1.1b	R	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$
20.1.1c1	C	$1$	$-1$	$-i$	$i$	$1$	$1$	$-1$	$-1$
20.1.1c2	C	$1$	$-1$	$i$	$-i$	$1$	$1$	$-1$	$-1$
20.1.2a1	R	$2$	$2$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$
20.1.2a2	R	$2$	$2$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$
20.1.2b1	S	$2$	$-2$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$
20.1.2b2	S	$2$	$-2$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$