Character table for $C_8^2.D_4$

The column representing the conjugacy class 2A is highlighted below.

		1A	2A	2B	2C	4A	4B	4C	4D	4E	4F	8A1	8A3	8B1	8B3	8C1	8C3	8D	8E1	8E3	8F	8G1	8G-1	16A1	16A-1	16A3	16A-3	16A5	16A-5	16A7	16A-7	16B1	16B3
	Size	1	1	2	16	4	4	4	16	32	32	4	4	4	4	4	4	8	8	8	32	64	64	16	16	16	16	16	16	16	16	32	32
	2 P	1A	1A	1A	1A	2B	2A	2B	2A	2A	2A	4A	4A	4A	4A	4B	4B	4B	4C	4C	4B	4E	4E	8B1	8B1	8B3	8B3	8B3	8B3	8B1	8B1	8C1	8C3
	Type
512.2018.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
512.2018.1b	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$
512.2018.1c	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
512.2018.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
512.2018.1e1	C	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-i$	$i$	$i$	$i$	$-i$	$-i$	$i$	$i$	$-i$	$-i$	$1$	$1$
512.2018.1e2	C	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$i$	$-i$	$-i$	$-i$	$i$	$i$	$-i$	$-i$	$i$	$i$	$1$	$1$
512.2018.1f1	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-i$	$i$	$-i$	$-i$	$i$	$i$	$-i$	$-i$	$i$	$i$	$-1$	$-1$
512.2018.1f2	C	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$i$	$-i$	$i$	$i$	$-i$	$-i$	$i$	$i$	$-i$	$-i$	$-1$	$-1$
512.2018.2a	R	$2$	$2$	$2$	$0$	$2$	$2$	$2$	$0$	$-2$	$-2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.2018.2b	R	$2$	$2$	$2$	$0$	$2$	$2$	$2$	$0$	$2$	$-2$	$2$	$-2$	$-2$	$2$	$-2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.2018.4a	R	$4$	$4$	$4$	$0$	$4$	$4$	$4$	$0$	$0$	$0$	$-4$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.2018.4b	R	$4$	$4$	$4$	$-2$	$-4$	$4$	$-4$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.2018.4c	R	$4$	$4$	$4$	$2$	$-4$	$4$	$-4$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.2018.4d1	C	$4$	$4$	$4$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$0$	$0$
512.2018.4d2	C	$4$	$4$	$4$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	$0$	$0$
512.2018.4e1	R	$4$	$4$	$4$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$
512.2018.4e2	R	$4$	$4$	$4$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$
512.2018.4f1	R	$4$	$4$	$-4$	$-2$	$0$	$0$	$0$	$2$	$0$	$0$	$2$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
512.2018.4f2	R	$4$	$4$	$-4$	$-2$	$0$	$0$	$0$	$2$	$0$	$0$	$2$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
512.2018.4g1	R	$4$	$4$	$-4$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
512.2018.4g2	R	$4$	$4$	$-4$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
512.2018.4h1	C	$4$	$-4$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$-2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$-2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$0$	$0$	$0$	$0$	$-{\zeta }_{16}-{\zeta }_{16}^7$	${\zeta }_{16}^3+{\zeta }_{16}^5$	${\zeta }_{16}+{\zeta }_{16}^7$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	${\zeta }_{16}+{\zeta }_{16}^7$	${\zeta }_{16}^3+{\zeta }_{16}^5$	$-{\zeta }_{16}-{\zeta }_{16}^7$	$0$	$0$
512.2018.4h2	C	$4$	$-4$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$-2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$-2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$0$	$0$	$0$	$0$	${\zeta }_{16}+{\zeta }_{16}^7$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	$-{\zeta }_{16}-{\zeta }_{16}^7$	${\zeta }_{16}^3+{\zeta }_{16}^5$	${\zeta }_{16}^3+{\zeta }_{16}^5$	$-{\zeta }_{16}-{\zeta }_{16}^7$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	${\zeta }_{16}+{\zeta }_{16}^7$	$0$	$0$
512.2018.4h3	C	$4$	$-4$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$-2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-2+{\zeta }_{16}^2-{\zeta }_{16}^6$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	$0$	$0$	$0$	$0$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	$-{\zeta }_{16}-{\zeta }_{16}^7$	${\zeta }_{16}^3+{\zeta }_{16}^5$	${\zeta }_{16}+{\zeta }_{16}^7$	${\zeta }_{16}+{\zeta }_{16}^7$	${\zeta }_{16}^3+{\zeta }_{16}^5$	$-{\zeta }_{16}-{\zeta }_{16}^7$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	$0$	$0$
512.2018.4h4	C	$4$	$-4$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$-2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-2+{\zeta }_{16}^2-{\zeta }_{16}^6$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	$0$	$0$	$0$	$0$	${\zeta }_{16}^3+{\zeta }_{16}^5$	${\zeta }_{16}+{\zeta }_{16}^7$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	$-{\zeta }_{16}-{\zeta }_{16}^7$	$-{\zeta }_{16}-{\zeta }_{16}^7$	$-{\zeta }_{16}^3-{\zeta }_{16}^5$	${\zeta }_{16}+{\zeta }_{16}^7$	${\zeta }_{16}^3+{\zeta }_{16}^5$	$0$	$0$
512.2018.4i1	S	$4$	$-4$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$-2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$-2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$2+{\zeta }_{16}^2-{\zeta }_{16}^6$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	$0$	$0$	$0$	$0$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$0$	$0$
512.2018.4i2	S	$4$	$-4$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$-2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$-2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$2+{\zeta }_{16}^2-{\zeta }_{16}^6$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	$0$	$0$	$0$	$0$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	$0$	$0$
512.2018.4i3	S	$4$	$-4$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$-2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$0$	$0$	$0$	$0$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	$0$	$0$
512.2018.4i4	S	$4$	$-4$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$-2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$2+{\zeta }_{16}^2-{\zeta }_{16}^6$	$2-{\zeta }_{16}^2+{\zeta }_{16}^6$	$-{\zeta }_{16}^{-2}-{\zeta }_{16}^2$	${\zeta }_{16}^{-2}+{\zeta }_{16}^2$	$0$	$0$	$0$	$0$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	${\zeta }_{16}^{-1}+{\zeta }_{16}$	${\zeta }_{16}^{-3}+{\zeta }_{16}^3$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	$-{\zeta }_{16}^{-3}-{\zeta }_{16}^3$	$-{\zeta }_{16}^{-1}-{\zeta }_{16}$	$0$	$0$
512.2018.8a	R	$8$	$8$	$-8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.2018.8b1	S	$8$	$-8$	$0$	$0$	$-4$	$0$	$4$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.2018.8b2	S	$8$	$-8$	$0$	$0$	$-4$	$0$	$4$	$0$	$0$	$0$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$