Character table for $D_8\wr C_2$

		1A	2A	2B	2C	2D	2E	2F	2G	2H	2I	2J	4A	4B	4C	4D	4E	4F	4G	4H	8A1	8A3	8B1	8B3	8C1	8C3	8D	8E1	8E3	8F1	8F3	8G1	8G3	8H	16A1	16A3
	Size	1	1	2	8	8	8	8	16	16	16	32	4	4	4	16	16	16	64	64	4	4	4	4	4	4	8	8	8	16	16	16	16	32	32	32
	2 P	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	2B	2A	2B	2A	2B	2B	2H	2I	4A	4A	4A	4A	4B	4B	4B	4C	4C	4A	4A	4A	4A	4B	8C1	8C3
	Type
512.60809.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
512.60809.1b	R	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
512.60809.1c	R	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$
512.60809.1d	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$
512.60809.1e	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$
512.60809.1f	R	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$
512.60809.1g	R	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$
512.60809.1h	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$
512.60809.2a	R	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$-2$	$0$	$2$	$0$	$2$	$2$	$2$	$0$	$-2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$
512.60809.2b	R	$2$	$2$	$2$	$0$	$0$	$-2$	$-2$	$2$	$0$	$-2$	$0$	$2$	$2$	$2$	$0$	$0$	$-2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$0$
512.60809.2c	R	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$-2$	$-2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.60809.2d	R	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$0$	$-2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$-2$	$-2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.60809.2e	R	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$2$	$0$	$-2$	$0$	$2$	$2$	$2$	$0$	$0$	$2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$
512.60809.2f	R	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$-2$	$0$	$2$	$0$	$2$	$2$	$2$	$0$	$2$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$
512.60809.4a	R	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-4$	$4$	$-4$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$
512.60809.4b	R	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$-4$	$4$	$-4$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$
512.60809.4c	R	$4$	$4$	$4$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$2$	$2$	$2$	$2$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.60809.4d	R	$4$	$4$	$4$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$2$	$-2$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.60809.4e	R	$4$	$4$	$4$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.60809.4f	R	$4$	$4$	$4$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$2$	$2$	$2$	$2$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.60809.4g1	R	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$2$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
512.60809.4g2	R	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$2$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
512.60809.4h1	R	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$2$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
512.60809.4h2	R	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$2$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
512.60809.4i1	R	$4$	$-4$	$0$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2+{\zeta }_8-{\zeta }_8^3$	$-2+{\zeta }_8-{\zeta }_8^3$	$2-{\zeta }_8+{\zeta }_8^3$	$-2-{\zeta }_8+{\zeta }_8^3$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$
512.60809.4i2	R	$4$	$-4$	$0$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2-{\zeta }_8+{\zeta }_8^3$	$-2-{\zeta }_8+{\zeta }_8^3$	$2+{\zeta }_8-{\zeta }_8^3$	$-2+{\zeta }_8-{\zeta }_8^3$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$
512.60809.4j1	R	$4$	$-4$	$0$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$-2-{\zeta }_8+{\zeta }_8^3$	$2-{\zeta }_8+{\zeta }_8^3$	$-2+{\zeta }_8-{\zeta }_8^3$	$2+{\zeta }_8-{\zeta }_8^3$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$
512.60809.4j2	R	$4$	$-4$	$0$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2+{\zeta }_8-{\zeta }_8^3$	$2+{\zeta }_8-{\zeta }_8^3$	$-2-{\zeta }_8+{\zeta }_8^3$	$2-{\zeta }_8+{\zeta }_8^3$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$
512.60809.4k1	R	$4$	$-4$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$-2-{\zeta }_8+{\zeta }_8^3$	$2-{\zeta }_8+{\zeta }_8^3$	$-2+{\zeta }_8-{\zeta }_8^3$	$2+{\zeta }_8-{\zeta }_8^3$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$
512.60809.4k2	R	$4$	$-4$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2+{\zeta }_8-{\zeta }_8^3$	$2+{\zeta }_8-{\zeta }_8^3$	$-2-{\zeta }_8+{\zeta }_8^3$	$2-{\zeta }_8+{\zeta }_8^3$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$
512.60809.4l1	R	$4$	$-4$	$0$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2+{\zeta }_8-{\zeta }_8^3$	$-2+{\zeta }_8-{\zeta }_8^3$	$2-{\zeta }_8+{\zeta }_8^3$	$-2-{\zeta }_8+{\zeta }_8^3$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$0$	$0$	$0$
512.60809.4l2	R	$4$	$-4$	$0$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2-{\zeta }_8+{\zeta }_8^3$	$-2-{\zeta }_8+{\zeta }_8^3$	$2+{\zeta }_8-{\zeta }_8^3$	$-2+{\zeta }_8-{\zeta }_8^3$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$0$	$0$	$0$
512.60809.8a	R	$8$	$8$	$-8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$-4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.60809.8b1	R	$8$	$-8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.60809.8b2	R	$8$	$-8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$0$	$0$	$-2{\zeta }_8^{-1}-2{\zeta }_8$	$2{\zeta }_8^{-1}+2{\zeta }_8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$