Rational character table for $C_4.D_4^2$

		1A	2A	2B	2C	2D	2E	2F	2G	2H	2I	2J	2K	2L	2M	4A	4B	4C	4D	4E	4F	4G	4H	4I	4J	4K	4L	4M	4N	8A	8B	8C	8D	8E	8F	8G	8H	8I	8J	8K	8L
	Size	1	1	1	1	2	2	4	4	8	8	8	8	8	8	2	2	2	2	4	4	8	8	8	8	8	8	16	16	4	4	4	4	8	8	8	8	8	8	16	16
	2 P	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	1A	2A	2A	2A	2A	2A	2A	2E	2E	2B	2A	2C	2A	2A	2A	4A	4A	4A	4A	4B	4B	4C	4A	4C	4A	4D	4D
256.18792.1a		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
256.18792.1b		$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$
256.18792.1c		$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$
256.18792.1d		$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$
256.18792.1e		$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$
256.18792.1f		$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$
256.18792.1g		$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$
256.18792.1h		$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$
256.18792.1i		$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
256.18792.1j		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$
256.18792.1k		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$
256.18792.1l		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$
256.18792.1m		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$
256.18792.1n		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$
256.18792.1o		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$1$
256.18792.1p		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$-1$	$-1$
256.18792.2a		$2$	$2$	$-2$	$-2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$
256.18792.2b		$2$	$2$	$-2$	$-2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$-2$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$2$	$0$	$0$	$0$
256.18792.2c		$2$	$2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2d		$2$	$2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$-2$	$2$	$2$	$-2$	$0$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2e		$2$	$2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2f		$2$	$2$	$-2$	$-2$	$-2$	$2$	$0$	$0$	$2$	$2$	$-2$	$-2$	$0$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2g		$2$	$2$	$-2$	$-2$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$-2$	$2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$2$	$0$	$0$	$0$
256.18792.2h		$2$	$2$	$-2$	$-2$	$-2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$-2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$
256.18792.2i		$2$	$2$	$-2$	$-2$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$
256.18792.2j		$2$	$2$	$-2$	$-2$	$2$	$-2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$-2$	$0$	$2$	$0$	$0$
256.18792.2k		$2$	$2$	$-2$	$-2$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$-2$	$0$	$2$	$0$	$0$
256.18792.2l		$2$	$2$	$-2$	$-2$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$
256.18792.2m		$2$	$2$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$-2$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2n		$2$	$2$	$2$	$2$	$-2$	$-2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2o		$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$-2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$2$	$0$	$0$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2p		$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$2$	$0$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2q		$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2r		$2$	$2$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$-2$	$0$	$0$	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2s		$2$	$2$	$2$	$2$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$-2$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.2t		$2$	$2$	$2$	$2$	$-2$	$-2$	$2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$2$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.4a		$4$	$4$	$-4$	$-4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.4b		$4$	$4$	$4$	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-4$	$-4$	$-4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.4c		$16$	$-16$	$-16$	$16$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
256.18792.4d		$16$	$-16$	$16$	$-16$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$