Character table for $\GL(2,3):D_5$

The row representing the character 480.970.3a is highlighted below.

		1A	2A	2B	2C	2D	3A	4A	4B	5A1	5A2	6A	8A	8B	10A1	10A3	10B1	10B3	12A1	12A5	15A1	15A2	20A1	20A3	30A1	30A7	40A1	40A3	40A9	40A13
	Size	1	1	12	30	60	8	6	10	2	2	8	12	60	2	2	24	24	40	40	16	16	12	12	16	16	12	12	12	12
	2 P	1A	1A	1A	1A	1A	3A	2A	2A	5A2	5A1	3A	4A	4A	5A1	5A2	5A1	5A2	6A	6A	15A2	15A1	10A3	10A1	15A1	15A2	20A1	20A3	20A1	20A3
	3 P	1A	2A	2B	2C	2D	1A	4A	4B	5A2	5A1	2A	8A	8B	10A3	10A1	10B3	10B1	4B	4B	5A1	5A2	20A3	20A1	10A1	10A3	40A3	40A9	40A13	40A1
	5 P	1A	2A	2B	2C	2D	3A	4A	4B	1A	1A	6A	8A	8B	2A	2A	2B	2B	12A5	12A1	3A	3A	4A	4A	6A	6A	8A	8A	8A	8A
	Type
480.970.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
480.970.1b	R	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
480.970.1c	R	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$
480.970.1d	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
480.970.2a	R	$2$	$2$	$0$	$2$	$0$	$-1$	$2$	$2$	$2$	$2$	$-1$	$0$	$0$	$2$	$2$	$0$	$0$	$-1$	$-1$	$-1$	$-1$	$2$	$2$	$-1$	$-1$	$0$	$0$	$0$	$0$
480.970.2b	R	$2$	$2$	$0$	$-2$	$0$	$-1$	$2$	$-2$	$2$	$2$	$-1$	$0$	$0$	$2$	$2$	$0$	$0$	$1$	$1$	$-1$	$-1$	$2$	$2$	$-1$	$-1$	$0$	$0$	$0$	$0$
480.970.2c1	R	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$2$	$2$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$
480.970.2c2	R	$2$	$2$	$2$	$0$	$0$	$2$	$2$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$2$	$2$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$
480.970.2d1	R	$2$	$2$	$-2$	$0$	$0$	$2$	$2$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$2$	$-2$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$
480.970.2d2	R	$2$	$2$	$-2$	$0$	$0$	$2$	$2$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$2$	$-2$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$
480.970.3a	R	$3$	$3$	$1$	$-1$	$1$	$0$	$-1$	$3$	$3$	$3$	$0$	$-1$	$-1$	$3$	$3$	$1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
480.970.3b	R	$3$	$3$	$-1$	$-1$	$-1$	$0$	$-1$	$3$	$3$	$3$	$0$	$1$	$1$	$3$	$3$	$-1$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$1$	$1$	$1$	$1$
480.970.3c	R	$3$	$3$	$-1$	$1$	$1$	$0$	$-1$	$-3$	$3$	$3$	$0$	$1$	$-1$	$3$	$3$	$-1$	$-1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$1$	$1$	$1$	$1$
480.970.3d	R	$3$	$3$	$1$	$1$	$-1$	$0$	$-1$	$-3$	$3$	$3$	$0$	$-1$	$1$	$3$	$3$	$1$	$1$	$0$	$0$	$0$	$0$	$-1$	$-1$	$0$	$0$	$-1$	$-1$	$-1$	$-1$
480.970.4a	R	$4$	$-4$	$0$	$0$	$0$	$-2$	$0$	$0$	$4$	$4$	$2$	$0$	$0$	$-4$	$-4$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$0$
480.970.4b1	R	$4$	$4$	$0$	$0$	$0$	$-2$	$4$	$0$	$2{\zeta }_5^{-2}+2{\zeta }_5^2$	$2{\zeta }_5^{-1}+2{\zeta }_5$	$-2$	$0$	$0$	$2{\zeta }_5^{-1}+2{\zeta }_5$	$2{\zeta }_5^{-2}+2{\zeta }_5^2$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$2{\zeta }_5^{-1}+2{\zeta }_5$	$2{\zeta }_5^{-2}+2{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$	$0$	$0$
480.970.4b2	R	$4$	$4$	$0$	$0$	$0$	$-2$	$4$	$0$	$2{\zeta }_5^{-1}+2{\zeta }_5$	$2{\zeta }_5^{-2}+2{\zeta }_5^2$	$-2$	$0$	$0$	$2{\zeta }_5^{-2}+2{\zeta }_5^2$	$2{\zeta }_5^{-1}+2{\zeta }_5$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$2{\zeta }_5^{-2}+2{\zeta }_5^2$	$2{\zeta }_5^{-1}+2{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$	$0$	$0$
480.970.4c1	R	$4$	$-4$	$0$	$0$	$0$	$1$	$0$	$0$	$4$	$4$	$-1$	$0$	$0$	$-4$	$-4$	$0$	$0$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	$1$	$1$	$0$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$
480.970.4c2	R	$4$	$-4$	$0$	$0$	$0$	$1$	$0$	$0$	$4$	$4$	$-1$	$0$	$0$	$-4$	$-4$	$0$	$0$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$1$	$1$	$0$	$0$	$-1$	$-1$	$0$	$0$	$0$	$0$
480.970.4d1	R	$4$	$-4$	$0$	$0$	$0$	$-2$	$0$	$0$	$-2{\zeta }_{40}^{-4}-2{\zeta }_{40}^4$	$2{\zeta }_{40}^{-8}+2{\zeta }_{40}^8$	$2$	$0$	$0$	$-2{\zeta }_{40}^{-8}-2{\zeta }_{40}^8$	$2{\zeta }_{40}^{-4}+2{\zeta }_{40}^4$	$0$	$0$	$0$	$0$	$-{\zeta }_{40}^{-8}-{\zeta }_{40}^8$	${\zeta }_{40}^{-4}+{\zeta }_{40}^4$	$0$	$0$	$-{\zeta }_{40}^{-4}-{\zeta }_{40}^4$	${\zeta }_{40}^{-8}+{\zeta }_{40}^8$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7+{\zeta }_{40}^9-2{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7-{\zeta }_{40}^9+2{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5+{\zeta }_{40}^7+{\zeta }_{40}^9-2{\zeta }_{40}^{13}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5-{\zeta }_{40}^7-{\zeta }_{40}^9+2{\zeta }_{40}^{13}$
480.970.4d2	R	$4$	$-4$	$0$	$0$	$0$	$-2$	$0$	$0$	$-2{\zeta }_{40}^{-4}-2{\zeta }_{40}^4$	$2{\zeta }_{40}^{-8}+2{\zeta }_{40}^8$	$2$	$0$	$0$	$-2{\zeta }_{40}^{-8}-2{\zeta }_{40}^8$	$2{\zeta }_{40}^{-4}+2{\zeta }_{40}^4$	$0$	$0$	$0$	$0$	$-{\zeta }_{40}^{-8}-{\zeta }_{40}^8$	${\zeta }_{40}^{-4}+{\zeta }_{40}^4$	$0$	$0$	$-{\zeta }_{40}^{-4}-{\zeta }_{40}^4$	${\zeta }_{40}^{-8}+{\zeta }_{40}^8$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7-{\zeta }_{40}^9+2{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7+{\zeta }_{40}^9-2{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5-{\zeta }_{40}^7-{\zeta }_{40}^9+2{\zeta }_{40}^{13}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5+{\zeta }_{40}^7+{\zeta }_{40}^9-2{\zeta }_{40}^{13}$
480.970.4d3	R	$4$	$-4$	$0$	$0$	$0$	$-2$	$0$	$0$	$2{\zeta }_{40}^{-8}+2{\zeta }_{40}^8$	$-2{\zeta }_{40}^{-4}-2{\zeta }_{40}^4$	$2$	$0$	$0$	$2{\zeta }_{40}^{-4}+2{\zeta }_{40}^4$	$-2{\zeta }_{40}^{-8}-2{\zeta }_{40}^8$	$0$	$0$	$0$	$0$	${\zeta }_{40}^{-4}+{\zeta }_{40}^4$	$-{\zeta }_{40}^{-8}-{\zeta }_{40}^8$	$0$	$0$	${\zeta }_{40}^{-8}+{\zeta }_{40}^8$	$-{\zeta }_{40}^{-4}-{\zeta }_{40}^4$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5-{\zeta }_{40}^7-{\zeta }_{40}^9+2{\zeta }_{40}^{13}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5+{\zeta }_{40}^7+{\zeta }_{40}^9-2{\zeta }_{40}^{13}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7+{\zeta }_{40}^9-2{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7-{\zeta }_{40}^9+2{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$
480.970.4d4	R	$4$	$-4$	$0$	$0$	$0$	$-2$	$0$	$0$	$2{\zeta }_{40}^{-8}+2{\zeta }_{40}^8$	$-2{\zeta }_{40}^{-4}-2{\zeta }_{40}^4$	$2$	$0$	$0$	$2{\zeta }_{40}^{-4}+2{\zeta }_{40}^4$	$-2{\zeta }_{40}^{-8}-2{\zeta }_{40}^8$	$0$	$0$	$0$	$0$	${\zeta }_{40}^{-4}+{\zeta }_{40}^4$	$-{\zeta }_{40}^{-8}-{\zeta }_{40}^8$	$0$	$0$	${\zeta }_{40}^{-8}+{\zeta }_{40}^8$	$-{\zeta }_{40}^{-4}-{\zeta }_{40}^4$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^5+{\zeta }_{40}^7+{\zeta }_{40}^9-2{\zeta }_{40}^{13}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^5-{\zeta }_{40}^7-{\zeta }_{40}^9+2{\zeta }_{40}^{13}$	${\zeta }_{40}+{\zeta }_{40}^3-{\zeta }_{40}^7-{\zeta }_{40}^9+2{\zeta }_{40}^{11}-{\zeta }_{40}^{15}$	$-{\zeta }_{40}-{\zeta }_{40}^3+{\zeta }_{40}^7+{\zeta }_{40}^9-2{\zeta }_{40}^{11}+{\zeta }_{40}^{15}$
480.970.6a1	R	$6$	$6$	$2$	$0$	$0$	$0$	$-2$	$0$	$3{\zeta }_5^{-2}+3{\zeta }_5^2$	$3{\zeta }_5^{-1}+3{\zeta }_5$	$0$	$-2$	$0$	$3{\zeta }_5^{-1}+3{\zeta }_5$	$3{\zeta }_5^{-2}+3{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$
480.970.6a2	R	$6$	$6$	$2$	$0$	$0$	$0$	$-2$	$0$	$3{\zeta }_5^{-1}+3{\zeta }_5$	$3{\zeta }_5^{-2}+3{\zeta }_5^2$	$0$	$-2$	$0$	$3{\zeta }_5^{-2}+3{\zeta }_5^2$	$3{\zeta }_5^{-1}+3{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-2}-{\zeta }_5^2$
480.970.6b1	R	$6$	$6$	$-2$	$0$	$0$	$0$	$-2$	$0$	$3{\zeta }_5^{-2}+3{\zeta }_5^2$	$3{\zeta }_5^{-1}+3{\zeta }_5$	$0$	$2$	$0$	$3{\zeta }_5^{-1}+3{\zeta }_5$	$3{\zeta }_5^{-2}+3{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$
480.970.6b2	R	$6$	$6$	$-2$	$0$	$0$	$0$	$-2$	$0$	$3{\zeta }_5^{-1}+3{\zeta }_5$	$3{\zeta }_5^{-2}+3{\zeta }_5^2$	$0$	$2$	$0$	$3{\zeta }_5^{-2}+3{\zeta }_5^2$	$3{\zeta }_5^{-1}+3{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-2}+{\zeta }_5^2$
480.970.8a1	R	$8$	$-8$	$0$	$0$	$0$	$2$	$0$	$0$	$4{\zeta }_5^{-2}+4{\zeta }_5^2$	$4{\zeta }_5^{-1}+4{\zeta }_5$	$-2$	$0$	$0$	$-4{\zeta }_5^{-1}-4{\zeta }_5$	$-4{\zeta }_5^{-2}-4{\zeta }_5^2$	$0$	$0$	$0$	$0$	${\zeta }_5^{-1}+{\zeta }_5$	${\zeta }_5^{-2}+{\zeta }_5^2$	$0$	$0$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$-{\zeta }_5^{-1}-{\zeta }_5$	$0$	$0$	$0$	$0$
480.970.8a2	R	$8$	$-8$	$0$	$0$	$0$	$2$	$0$	$0$	$4{\zeta }_5^{-1}+4{\zeta }_5$	$4{\zeta }_5^{-2}+4{\zeta }_5^2$	$-2$	$0$	$0$	$-4{\zeta }_5^{-2}-4{\zeta }_5^2$	$-4{\zeta }_5^{-1}-4{\zeta }_5$	$0$	$0$	$0$	$0$	${\zeta }_5^{-2}+{\zeta }_5^2$	${\zeta }_5^{-1}+{\zeta }_5$	$0$	$0$	$-{\zeta }_5^{-1}-{\zeta }_5$	$-{\zeta }_5^{-2}-{\zeta }_5^2$	$0$	$0$	$0$	$0$