Rational character table for $C_5\times S_3$

The row representing the character 30.1.2b is highlighted below.

		1A	2A	3A	5A	10A	15A
	Size	1	3	2	4	12	8
	2 P	1A	1A	3A	5A	5A	15A
	3 P	1A	2A	1A	5A	10A	5A
	5 P	1A	2A	3A	1A	2A	3A
30.1.1a		$1$	$1$	$1$	$1$	$1$	$1$
30.1.1b		$1$	$-1$	$1$	$1$	$-1$	$1$
30.1.1c		$4$	$4$	$4$	$-1$	$-1$	$-1$
30.1.1d		$4$	$-4$	$4$	$-1$	$1$	$-1$
30.1.2a		$2$	$0$	$-1$	$2$	$0$	$-1$
30.1.2b		$8$	$0$	$-4$	$-2$	$0$	$1$