LMFDB - Rational character table for $C_8^2:(C_2\times C

		1A	2A	2B	2C	2D	2E	2F	2G	4A	4B	4C	4D	4E	4F	4G	4H	4I	4J	8A	8B	8C	8D	8E	8F	8G	8H	8I	8J	8K	8L	16A	16B
	Size	1	1	2	4	16	16	16	32	2	2	4	4	4	8	16	32	32	32	8	8	8	8	8	8	8	8	16	16	32	32	64	64
	2 P	1A	1A	1A	1A	1A	1A	1A	1A	2A	2A	2B	2B	2A	2B	2A	2C	2C	2B	4A	4C	4B	4C	4D	4D	4B	4A	4D	4C	4E	4E	8G	8H
512.46623.1a		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
512.46623.1b		$1$	$1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$- 1$	$1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$1$	$1$	$- 1$
512.46623.1c		$1$	$1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$1$	$- 1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$- 1$	$1$
512.46623.1d		$1$	$1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$- 1$	$1$	$1$	$1$	$- 1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$1$	$- 1$	$- 1$	$- 1$	$1$	$- 1$	$1$
512.46623.1e		$1$	$1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$1$	$- 1$	$1$	$1$	$- 1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$1$	$- 1$	$- 1$	$1$	$- 1$	$1$	$- 1$
512.46623.1f		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$1$	$- 1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$1$	$- 1$	$- 1$	$- 1$	$- 1$	$1$	$1$
512.46623.1g		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$1$	$- 1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$1$	$- 1$	$- 1$	$1$	$1$	$- 1$	$- 1$
512.46623.1h		$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$- 1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$- 1$	$- 1$	$- 1$	$- 1$
512.46623.1i		$2$	$2$	$2$	$- 2$	$- 2$	$- 2$	$2$	$- 2$	$2$	$2$	$2$	$2$	$- 2$	$- 2$	$2$	$0$	$0$	$2$	$2$	$2$	$2$	$- 2$	$2$	$2$	$2$	$- 2$	$- 2$	$- 2$	$0$	$0$	$0$	$0$
512.46623.1j		$2$	$2$	$2$	$- 2$	$- 2$	$- 2$	$2$	$2$	$2$	$2$	$2$	$2$	$- 2$	$- 2$	$2$	$0$	$0$	$- 2$	$2$	$- 2$	$2$	$- 2$	$- 2$	$- 2$	$- 2$	$- 2$	$2$	$2$	$0$	$0$	$0$	$0$
512.46623.1k		$2$	$2$	$2$	$- 2$	$2$	$2$	$- 2$	$- 2$	$2$	$2$	$2$	$2$	$- 2$	$- 2$	$- 2$	$0$	$0$	$2$	$2$	$- 2$	$2$	$- 2$	$- 2$	$- 2$	$- 2$	$- 2$	$2$	$2$	$0$	$0$	$0$	$0$
512.46623.1l		$2$	$2$	$2$	$- 2$	$2$	$2$	$- 2$	$2$	$2$	$2$	$2$	$2$	$- 2$	$- 2$	$- 2$	$0$	$0$	$- 2$	$2$	$2$	$2$	$- 2$	$2$	$2$	$2$	$- 2$	$- 2$	$- 2$	$0$	$0$	$0$	$0$
512.46623.2a		$2$	$2$	$2$	$- 2$	$- 2$	$2$	$2$	$0$	$2$	$2$	$2$	$2$	$- 2$	$- 2$	$- 2$	$0$	$0$	$0$	$- 2$	$0$	$- 2$	$2$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.2b		$2$	$2$	$2$	$- 2$	$2$	$- 2$	$- 2$	$0$	$2$	$2$	$2$	$2$	$- 2$	$- 2$	$2$	$0$	$0$	$0$	$- 2$	$0$	$- 2$	$2$	$0$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.2c		$2$	$2$	$2$	$2$	$- 2$	$2$	$- 2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$- 2$	$0$	$- 2$	$- 2$	$0$	$0$	$0$	$- 2$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.2d		$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$- 2$	$- 2$	$2$	$- 2$	$0$	$- 2$	$0$	$0$	$2$	$0$	$- 2$	$- 2$	$0$	$0$	$0$	$2$	$0$	$0$	$2$	$0$	$0$	$0$
512.46623.2e		$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$- 2$	$- 2$	$2$	$- 2$	$0$	$0$	$- 2$	$0$	$- 2$	$0$	$2$	$2$	$0$	$0$	$0$	$- 2$	$0$	$0$	$0$	$2$	$0$	$0$
512.46623.2f		$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$- 2$	$- 2$	$2$	$- 2$	$0$	$0$	$2$	$0$	$- 2$	$0$	$2$	$2$	$0$	$0$	$0$	$- 2$	$0$	$0$	$0$	$- 2$	$0$	$0$
512.46623.2g		$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$- 2$	$- 2$	$2$	$- 2$	$0$	$2$	$0$	$0$	$2$	$0$	$- 2$	$- 2$	$0$	$0$	$0$	$2$	$0$	$0$	$- 2$	$0$	$0$	$0$
512.46623.2h		$2$	$2$	$2$	$2$	$2$	$- 2$	$2$	$0$	$2$	$2$	$2$	$2$	$2$	$2$	$- 2$	$0$	$0$	$0$	$- 2$	$0$	$- 2$	$- 2$	$0$	$0$	$0$	$- 2$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.2i		$4$	$4$	$4$	$- 4$	$0$	$0$	$0$	$0$	$4$	$4$	$- 4$	$- 4$	$- 4$	$4$	$0$	$0$	$0$	$0$	$- 4$	$0$	$4$	$- 4$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.2j		$4$	$4$	$4$	$- 4$	$0$	$0$	$0$	$0$	$4$	$4$	$- 4$	$- 4$	$- 4$	$4$	$0$	$0$	$0$	$0$	$4$	$0$	$- 4$	$4$	$0$	$0$	$0$	$- 4$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.4a		$4$	$4$	$4$	$- 4$	$0$	$0$	$0$	$0$	$- 4$	$- 4$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$- 2$	$0$	$0$	$2$	$2$	$- 2$	$0$	$- 2$	$2$	$0$	$0$	$0$	$0$
512.46623.4b		$4$	$4$	$4$	$- 4$	$0$	$0$	$0$	$0$	$- 4$	$- 4$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$- 2$	$- 2$	$2$	$0$	$2$	$- 2$	$0$	$0$	$0$	$0$
512.46623.4c		$4$	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$- 4$	$- 4$	$0$	$0$	$- 4$	$0$	$0$	$0$	$0$	$0$	$0$	$- 2$	$0$	$0$	$2$	$2$	$- 2$	$0$	$2$	$- 2$	$0$	$0$	$0$	$0$
512.46623.4d		$4$	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$- 4$	$- 4$	$0$	$0$	$- 4$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$0$	$0$	$- 2$	$- 2$	$2$	$0$	$- 2$	$2$	$0$	$0$	$0$	$0$
512.46623.8a		$8$	$8$	$- 8$	$0$	$0$	$0$	$0$	$0$	$- 8$	$8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.8b		$8$	$8$	$- 8$	$0$	$0$	$0$	$0$	$0$	$8$	$- 8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.8c		$8$	$- 8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$- 4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$- 4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.8d		$8$	$- 8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$- 4$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$- 4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.8e		$8$	$- 8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$- 4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$- 4$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$
512.46623.8f		$8$	$- 8$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$- 4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$0$	$0$	$- 4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.