Character table for $D_8$

The row representing the character 16.7.1d is highlighted below.

		1A	2A	2B	2C	4A	8A1	8A3
	Size	1	1	4	4	2	2	2
	2 P	1A	1A	1A	1A	2A	4A	4A
	Type
16.7.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$
16.7.1b	R	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$
16.7.1c	R	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$
16.7.1d	R	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$
16.7.2a	R	$2$	$2$	$0$	$0$	$-2$	$0$	$0$
16.7.2b1	R	$2$	$-2$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
16.7.2b2	R	$2$	$-2$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$