Character table for $C_8:C_8$

The column representing the conjugacy class 8C-1 is highlighted below.

		1A	2A	2B	2C	4A1	4A-1	4B1	4B-1	4C	4D	4E1	4E-1	8A1	8A-1	8B1	8B-1	8C1	8C-1	8C3	8C-3	8D1	8D-1	8D3	8D-3	8E1	8E-1	8E3	8E-3
	Size	1	1	1	1	1	1	1	1	2	2	2	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4
	2 P	1A	1A	1A	1A	2C	2C	2C	2C	2B	2B	2A	2A	4C	4C	4C	4C	4D	4D	4D	4D	4A1	4A-1	4A-1	4A1	4B1	4B-1	4B-1	4B1
	Type
64.15.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
64.15.1b	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$
64.15.1c	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$
64.15.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
64.15.1e1	C	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-i$	$i$	$-i$	$i$	$-i$	$i$	$-i$	$i$
64.15.1e2	C	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$i$	$-i$	$i$	$-i$	$i$	$-i$	$i$	$-i$
64.15.1f1	C	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-i$	$i$	$i$	$-i$	$-i$	$i$	$i$	$-i$
64.15.1f2	C	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$i$	$-i$	$-i$	$i$	$i$	$-i$	$-i$	$i$
64.15.1g1	C	$1$	$-1$	$-1$	$1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$1$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	$-1$	$1$	$1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$
64.15.1g2	C	$1$	$-1$	$-1$	$1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-1$	$1$	$1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$
64.15.1g3	C	$1$	$-1$	$-1$	$1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$1$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	$-1$	$1$	$1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$
64.15.1g4	C	$1$	$-1$	$-1$	$1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-1$	$1$	$1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$
64.15.1h1	C	$1$	$-1$	$-1$	$1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$1$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$1$	$-1$	$-1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$
64.15.1h2	C	$1$	$-1$	$-1$	$1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$1$	$-1$	$-1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$
64.15.1h3	C	$1$	$-1$	$-1$	$1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$1$	$-1$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$1$	$-1$	$-1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$
64.15.1h4	C	$1$	$-1$	$-1$	$1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$-1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	$1$	$-1$	$-1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	$-{\zeta }_8$
64.15.2a	R	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2b	S	$2$	$2$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2c1	C	$2$	$-2$	$-2$	$2$	$-2i$	$-2i$	$2i$	$2i$	$-2$	$2$	$-2i$	$2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2c2	C	$2$	$-2$	$-2$	$2$	$2i$	$2i$	$-2i$	$-2i$	$-2$	$2$	$2i$	$-2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2d1	C	$2$	$2$	$-2$	$-2$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2d2	C	$2$	$2$	$-2$	$-2$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2e1	C	$2$	$2$	$-2$	$-2$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2e2	C	$2$	$2$	$-2$	$-2$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2f1	C	$2$	$-2$	$2$	$-2$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2f2	C	$2$	$-2$	$2$	$-2$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2f3	C	$2$	$-2$	$2$	$-2$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.15.2f4	C	$2$	$-2$	$2$	$-2$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$