Character table for $D_4.D_4$

The column representing the conjugacy class 8A1 is highlighted below.

		1A	2A	2B	2C	2D	2E	2F	4A	4B	4C1	4C-1	4D	4E	4F	4G	8A1	8A-1	8B1	8B3
	Size	1	1	1	1	4	4	4	2	2	2	2	4	4	8	8	4	4	4	4
	2 P	1A	1A	1A	1A	1A	1A	1A	2B	2B	2B	2B	2B	2B	2B	2C	4A	4A	4B	4B
	Type
64.133.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
64.133.1b	R	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$
64.133.1c	R	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$
64.133.1d	R	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$
64.133.1e	R	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$
64.133.1f	R	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$
64.133.1g	R	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
64.133.1h	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
64.133.2a	R	$2$	$-2$	$2$	$-2$	$0$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.133.2b	R	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
64.133.2c	R	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
64.133.2d	R	$2$	$-2$	$2$	$-2$	$0$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.133.2e	R	$2$	$2$	$2$	$2$	$-2$	$0$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.133.2f	R	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
64.133.2g1	C	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
64.133.2g2	C	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
64.133.2g3	C	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
64.133.2g4	C	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
64.133.4a	S	$4$	$4$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$