Character table for $D_8:C_8$

The row representing the character 128.68.2e2 is highlighted below.

		1A	2A	2B	2C	4A1	4A-1	4B	4C1	4C-1	4D1	4D-1	4E	8A1	8A-1	8B1	8B-1	8C	8D	8E1	8E-1	8E3	8E-3	8F1	8F-1	8F3	8F-3	8G1	8G-1	16A1	16A-1	16A3	16A-3
	Size	1	1	2	8	1	1	2	2	2	2	2	8	2	2	2	2	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8
	2 P	1A	1A	1A	1A	2A	2A	2A	2B	2B	2B	2B	2A	4A1	4A-1	4A1	4A-1	4B	4B	4C1	4C-1	4C-1	4C1	4D1	4D-1	4D-1	4D1	4A1	4A-1	8B1	8B-1	8B-1	8B1
	Type
128.68.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
128.68.1b	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$
128.68.1c	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
128.68.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
128.68.1e1	C	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-i$	$1$	$i$	$-i$	$-i$	$i$	$-i$	$1$	$i$	$i$	$1$	$1$	$-i$	$i$	$i$	$-i$
128.68.1e2	C	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$i$	$1$	$-i$	$i$	$i$	$-i$	$i$	$1$	$-i$	$-i$	$1$	$1$	$i$	$-i$	$-i$	$i$
128.68.1f1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-i$	$1$	$i$	$-i$	$-i$	$i$	$-i$	$1$	$i$	$i$	$-1$	$-1$	$i$	$-i$	$-i$	$i$
128.68.1f2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$i$	$1$	$-i$	$i$	$i$	$-i$	$i$	$1$	$-i$	$-i$	$-1$	$-1$	$-i$	$i$	$i$	$-i$
128.68.1g1	C	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^3$	$-1$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	$1$	$-{\zeta }_8$	$-{\zeta }_8$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	${\zeta }_8$
128.68.1g2	C	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8$	$-1$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	$1$	${\zeta }_8^3$	${\zeta }_8^3$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	$-{\zeta }_8^3$
128.68.1g3	C	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^3$	$-1$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	$1$	${\zeta }_8$	${\zeta }_8$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	$-{\zeta }_8$
128.68.1g4	C	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8$	$-1$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	$1$	$-{\zeta }_8^3$	$-{\zeta }_8^3$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	${\zeta }_8^3$
128.68.1h1	C	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^3$	$-1$	${\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8^3$	$1$	$-{\zeta }_8$	$-{\zeta }_8$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	$-{\zeta }_8$
128.68.1h2	C	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8$	$-1$	$-{\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8$	$1$	${\zeta }_8^3$	${\zeta }_8^3$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	${\zeta }_8^3$
128.68.1h3	C	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-1$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^3$	$-1$	$-{\zeta }_8$	$-{\zeta }_8^3$	${\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8^3$	$1$	${\zeta }_8$	${\zeta }_8$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8^3$	${\zeta }_8$
128.68.1h4	C	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	${\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-1$	${\zeta }_8^2$	${\zeta }_8^2$	$-{\zeta }_8^2$	$-{\zeta }_8^2$	${\zeta }_8$	$-1$	${\zeta }_8^3$	${\zeta }_8$	$-{\zeta }_8$	${\zeta }_8^3$	$-{\zeta }_8$	$1$	$-{\zeta }_8^3$	$-{\zeta }_8^3$	$-{\zeta }_8^2$	${\zeta }_8^2$	${\zeta }_8^3$	$-{\zeta }_8$	${\zeta }_8$	$-{\zeta }_8^3$
128.68.2a	R	$2$	$2$	$2$	$0$	$2$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$0$	$2$	$2$	$2$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2b	R	$2$	$2$	$2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$-2$	$-2$	$-2$	$-2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2c1	R	$2$	$2$	$-2$	$0$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$-2$	$2$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2c2	R	$2$	$2$	$-2$	$0$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$-2$	$2$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2d1	C	$2$	$2$	$-2$	$0$	$-2$	$-2$	$2$	$-2i$	$2i$	$-2i$	$2i$	$0$	$2i$	$2i$	$-2i$	$-2i$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2d2	C	$2$	$2$	$-2$	$0$	$-2$	$-2$	$2$	$2i$	$-2i$	$2i$	$-2i$	$0$	$-2i$	$-2i$	$2i$	$2i$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2e1	C	$2$	$2$	$-2$	$0$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	$-{\zeta }_8-{\zeta }_8^3$	$0$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2e2	C	$2$	$2$	$-2$	$0$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	${\zeta }_8+{\zeta }_8^3$	$0$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2f1	C	$2$	$2$	$2$	$0$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2i$	$2i$	$2i$	$-2i$	$-1-i$	$0$	$1-i$	$1+i$	$-1-i$	$-1+i$	$1+i$	$0$	$1-i$	$-1+i$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2f2	C	$2$	$2$	$2$	$0$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$2i$	$-2i$	$-2i$	$2i$	$-1+i$	$0$	$1+i$	$1-i$	$-1+i$	$-1-i$	$1-i$	$0$	$1+i$	$-1-i$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2g1	C	$2$	$2$	$2$	$0$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2i$	$2i$	$2i$	$-2i$	$1+i$	$0$	$-1+i$	$-1-i$	$1+i$	$1-i$	$-1-i$	$0$	$-1+i$	$1-i$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.2g2	C	$2$	$2$	$2$	$0$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$2i$	$-2i$	$-2i$	$2i$	$1-i$	$0$	$-1-i$	$-1+i$	$1-i$	$1+i$	$-1+i$	$0$	$-1-i$	$1+i$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.4a1	C	$4$	$-4$	$0$	$0$	$-4i$	$4i$	$0$	$-2-2i$	$-2+2i$	$2+2i$	$2-2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.4a2	C	$4$	$-4$	$0$	$0$	$4i$	$-4i$	$0$	$-2+2i$	$-2-2i$	$2-2i$	$2+2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.4b1	C	$4$	$-4$	$0$	$0$	$-4i$	$4i$	$0$	$2+2i$	$2-2i$	$-2-2i$	$-2+2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.68.4b2	C	$4$	$-4$	$0$	$0$	$4i$	$-4i$	$0$	$2-2i$	$2+2i$	$-2+2i$	$-2-2i$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$