Character table for $(C_4\times C_8).D_4$

The row representing the character 256.507.1e2 is highlighted below.

		1A	2A	2B	2C	2D	4A	4B	4C	4D1	4D-1	4E	4F1	4F-1	8A1	8A-1	8B	8C1	8C3	16A1	16A-1	16A3	16A-3
	Size	1	1	2	16	16	4	4	4	8	8	16	32	32	4	4	8	16	16	16	16	16	16
	2 P	1A	1A	1A	1A	1A	2B	2A	2B	2B	2B	2A	2D	2D	4B	4B	4B	4C	4C	8A1	8A-1	8A1	8A-1
	Type
256.507.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
256.507.1b	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$
256.507.1c	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
256.507.1d	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
256.507.1e1	C	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-i$	$i$	$-1$	$-1$	$-1$	$1$	$1$	$i$	$-i$	$-i$	$i$
256.507.1e2	C	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$i$	$-i$	$-1$	$-1$	$-1$	$1$	$1$	$-i$	$i$	$i$	$-i$
256.507.1f1	C	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-i$	$i$	$-1$	$-1$	$-1$	$-1$	$-1$	$-i$	$i$	$i$	$-i$
256.507.1f2	C	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$i$	$-i$	$-1$	$-1$	$-1$	$-1$	$-1$	$i$	$-i$	$-i$	$i$
256.507.2a	R	$2$	$2$	$2$	$0$	$-2$	$2$	$2$	$2$	$0$	$0$	$-2$	$0$	$0$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
256.507.2b	R	$2$	$2$	$2$	$0$	$2$	$2$	$2$	$2$	$0$	$0$	$-2$	$0$	$0$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
256.507.4a	R	$4$	$4$	$4$	$0$	$0$	$-4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.507.4b	R	$4$	$4$	$4$	$-2$	$0$	$0$	$-4$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.507.4c	R	$4$	$4$	$4$	$2$	$0$	$0$	$-4$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.507.4d1	C	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$2$	$0$	$0$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$
256.507.4d2	C	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$2$	$0$	$0$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$	${\zeta }_8+{\zeta }_8^3$	$-{\zeta }_8-{\zeta }_8^3$
256.507.4e1	R	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
256.507.4e2	R	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
256.507.4f1	C	$4$	$-4$	$0$	$0$	$0$	$2$	$0$	$-2$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$0$	$0$	$0$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$	$0$
256.507.4f2	C	$4$	$-4$	$0$	$0$	$0$	$2$	$0$	$-2$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$0$	$0$	$0$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$	$0$
256.507.4f3	C	$4$	$-4$	$0$	$0$	$0$	$2$	$0$	$-2$	$-2{\zeta }_8^2$	$2{\zeta }_8^2$	$0$	$0$	$0$	$2{\zeta }_8+2{\zeta }_8^3$	$-2{\zeta }_8-2{\zeta }_8^3$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$	$0$
256.507.4f4	C	$4$	$-4$	$0$	$0$	$0$	$2$	$0$	$-2$	$2{\zeta }_8^2$	$-2{\zeta }_8^2$	$0$	$0$	$0$	$-2{\zeta }_8-2{\zeta }_8^3$	$2{\zeta }_8+2{\zeta }_8^3$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$	$0$
256.507.8a	R	$8$	$-8$	$0$	$0$	$0$	$-4$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$