Character table for $D_4.D_8$

		1A	2A	2B	2C	2D	4A	4B	4C	4D	4E	4F	4G	8A1	8A3	8B	8C	8D	16A1	16A3	16A5	16A7	16B1	16B3
	Size	1	1	2	4	8	2	2	4	8	8	8	16	2	2	4	8	16	4	4	4	4	8	8
	2 P	1A	1A	1A	1A	1A	2A	2A	2A	2A	2A	2A	2A	4A	4A	4A	4A	4B	8B	8B	8B	8B	8A1	8A3
	Type
128.927.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
128.927.1b	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
128.927.1c	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$
128.927.1d	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$
128.927.1e	R	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
128.927.1f	R	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$
128.927.1g	R	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
128.927.1h	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
128.927.2a	R	$2$	$2$	$-2$	$0$	$-2$	$2$	$-2$	$0$	$2$	$0$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.927.2b	R	$2$	$2$	$-2$	$0$	$0$	$2$	$-2$	$0$	$0$	$-2$	$2$	$0$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.927.2c	R	$2$	$2$	$-2$	$0$	$0$	$2$	$-2$	$0$	$0$	$2$	$-2$	$0$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.927.2d	R	$2$	$2$	$-2$	$0$	$2$	$2$	$-2$	$0$	$-2$	$0$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.927.2e	R	$2$	$2$	$2$	$-2$	$0$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.927.2f	R	$2$	$2$	$2$	$2$	$0$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.927.2g1	R	$2$	$2$	$-2$	$-2$	$0$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
128.927.2g2	R	$2$	$2$	$-2$	$-2$	$0$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
128.927.2h1	R	$2$	$2$	$-2$	$2$	$0$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$
128.927.2h2	R	$2$	$2$	$-2$	$2$	$0$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$	$-{\zeta }_8^{-1}-{\zeta }_8$	${\zeta }_8^{-1}+{\zeta }_8$
128.927.4a	R	$4$	$4$	$4$	$0$	$0$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
128.927.4b1	S	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$0$	$0$	$0$	$-{\zeta }_{16}-{\zeta }_{16}^3+{\zeta }_{16}^5+{\zeta }_{16}^7$	${\zeta }_{16}-{\zeta }_{16}^3+{\zeta }_{16}^5-{\zeta }_{16}^7$	$-{\zeta }_{16}+{\zeta }_{16}^3-{\zeta }_{16}^5+{\zeta }_{16}^7$	${\zeta }_{16}+{\zeta }_{16}^3-{\zeta }_{16}^5-{\zeta }_{16}^7$	$0$	$0$
128.927.4b2	S	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$0$	$0$	$0$	${\zeta }_{16}+{\zeta }_{16}^3-{\zeta }_{16}^5-{\zeta }_{16}^7$	$-{\zeta }_{16}+{\zeta }_{16}^3-{\zeta }_{16}^5+{\zeta }_{16}^7$	${\zeta }_{16}-{\zeta }_{16}^3+{\zeta }_{16}^5-{\zeta }_{16}^7$	$-{\zeta }_{16}-{\zeta }_{16}^3+{\zeta }_{16}^5+{\zeta }_{16}^7$	$0$	$0$
128.927.4b3	S	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$0$	$0$	$0$	$-{\zeta }_{16}+{\zeta }_{16}^3-{\zeta }_{16}^5+{\zeta }_{16}^7$	$-{\zeta }_{16}-{\zeta }_{16}^3+{\zeta }_{16}^5+{\zeta }_{16}^7$	${\zeta }_{16}+{\zeta }_{16}^3-{\zeta }_{16}^5-{\zeta }_{16}^7$	${\zeta }_{16}-{\zeta }_{16}^3+{\zeta }_{16}^5-{\zeta }_{16}^7$	$0$	$0$
128.927.4b4	S	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2{\zeta }_{16}^{-2}+2{\zeta }_{16}^2$	$-2{\zeta }_{16}^{-2}-2{\zeta }_{16}^2$	$0$	$0$	$0$	${\zeta }_{16}-{\zeta }_{16}^3+{\zeta }_{16}^5-{\zeta }_{16}^7$	${\zeta }_{16}+{\zeta }_{16}^3-{\zeta }_{16}^5-{\zeta }_{16}^7$	$-{\zeta }_{16}-{\zeta }_{16}^3+{\zeta }_{16}^5+{\zeta }_{16}^7$	$-{\zeta }_{16}+{\zeta }_{16}^3-{\zeta }_{16}^5+{\zeta }_{16}^7$	$0$	$0$