Character table for $\PSL(2,37)$

		1A	2A	3A	6A	9A1	9A2	9A4	18A1	18A5	18A7	19A1	19A2	19A3	19A4	19A5	19A6	19A7	19A8	19A9	37A1	37A2
	Size	1	703	1406	1406	1406	1406	1406	1406	1406	1406	1332	1332	1332	1332	1332	1332	1332	1332	1332	684	684
	2 P	1A	1A	3A	3A	9A2	9A4	9A1	9A1	9A4	9A2	19A2	19A4	19A6	19A8	19A9	19A7	19A5	19A3	19A1	37A2	37A1
	3 P	1A	2A	1A	2A	3A	3A	3A	6A	6A	6A	19A3	19A6	19A9	19A7	19A4	19A1	19A2	19A5	19A8	37A1	37A2
	19 P	1A	2A	3A	6A	9A1	9A2	9A4	18A1	18A5	18A7	1A	1A	1A	1A	1A	1A	1A	1A	1A	37A2	37A1
	37 P	1A	2A	3A	6A	9A1	9A2	9A4	18A1	18A5	18A7	19A1	19A2	19A3	19A4	19A5	19A6	19A7	19A8	19A9	1A	1A
	Type
25308.a.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
25308.a.19a1	R	$19$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	${\zeta }_{37}^{-18}+{\zeta }_{37}^{-17}+{\zeta }_{37}^{-15}+{\zeta }_{37}^{-14}+{\zeta }_{37}^{-13}+{\zeta }_{37}^{-8}+{\zeta }_{37}^{-6}+{\zeta }_{37}^{-5}+{\zeta }_{37}^{-2}+1+{\zeta }_{37}^2+{\zeta }_{37}^5+{\zeta }_{37}^6+{\zeta }_{37}^8+{\zeta }_{37}^{13}+{\zeta }_{37}^{14}+{\zeta }_{37}^{15}+{\zeta }_{37}^{17}+{\zeta }_{37}^{18}$	$-{\zeta }_{37}^{-18}-{\zeta }_{37}^{-17}-{\zeta }_{37}^{-15}-{\zeta }_{37}^{-14}-{\zeta }_{37}^{-13}-{\zeta }_{37}^{-8}-{\zeta }_{37}^{-6}-{\zeta }_{37}^{-5}-{\zeta }_{37}^{-2}-{\zeta }_{37}^2-{\zeta }_{37}^5-{\zeta }_{37}^6-{\zeta }_{37}^8-{\zeta }_{37}^{13}-{\zeta }_{37}^{14}-{\zeta }_{37}^{15}-{\zeta }_{37}^{17}-{\zeta }_{37}^{18}$
25308.a.19a2	R	$19$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{37}^{-18}-{\zeta }_{37}^{-17}-{\zeta }_{37}^{-15}-{\zeta }_{37}^{-14}-{\zeta }_{37}^{-13}-{\zeta }_{37}^{-8}-{\zeta }_{37}^{-6}-{\zeta }_{37}^{-5}-{\zeta }_{37}^{-2}-{\zeta }_{37}^2-{\zeta }_{37}^5-{\zeta }_{37}^6-{\zeta }_{37}^8-{\zeta }_{37}^{13}-{\zeta }_{37}^{14}-{\zeta }_{37}^{15}-{\zeta }_{37}^{17}-{\zeta }_{37}^{18}$	${\zeta }_{37}^{-18}+{\zeta }_{37}^{-17}+{\zeta }_{37}^{-15}+{\zeta }_{37}^{-14}+{\zeta }_{37}^{-13}+{\zeta }_{37}^{-8}+{\zeta }_{37}^{-6}+{\zeta }_{37}^{-5}+{\zeta }_{37}^{-2}+1+{\zeta }_{37}^2+{\zeta }_{37}^5+{\zeta }_{37}^6+{\zeta }_{37}^8+{\zeta }_{37}^{13}+{\zeta }_{37}^{14}+{\zeta }_{37}^{15}+{\zeta }_{37}^{17}+{\zeta }_{37}^{18}$
25308.a.36a1	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-1$	$-1$
25308.a.36a2	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-1$	$-1$
25308.a.36a3	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-1$	$-1$
25308.a.36a4	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-1$	$-1$
25308.a.36a5	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-1$	$-1$
25308.a.36a6	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-1$	$-1$
25308.a.36a7	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-1$	$-1$
25308.a.36a8	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-1$	$-1$
25308.a.36a9	R	$36$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$-{\zeta }_{19}^{-9}-{\zeta }_{19}^9$	$-{\zeta }_{19}^{-1}-{\zeta }_{19}$	$-{\zeta }_{19}^{-8}-{\zeta }_{19}^8$	$-{\zeta }_{19}^{-2}-{\zeta }_{19}^2$	$-{\zeta }_{19}^{-7}-{\zeta }_{19}^7$	$-{\zeta }_{19}^{-3}-{\zeta }_{19}^3$	$-{\zeta }_{19}^{-6}-{\zeta }_{19}^6$	$-{\zeta }_{19}^{-4}-{\zeta }_{19}^4$	$-{\zeta }_{19}^{-5}-{\zeta }_{19}^5$	$-1$	$-1$
25308.a.37a	R	$37$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$
25308.a.38a	R	$38$	$2$	$2$	$2$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
25308.a.38b	R	$38$	$-2$	$2$	$-2$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
25308.a.38c1	R	$38$	$2$	$-1$	$-1$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-4}+{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
25308.a.38c2	R	$38$	$2$	$-1$	$-1$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-2}+{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
25308.a.38c3	R	$38$	$2$	$-1$	$-1$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-1}+{\zeta }_9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
25308.a.38d1	R	$38$	$-2$	$-1$	$1$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-2}+{\zeta }_9^2$	$-{\zeta }_9^{-2}-{\zeta }_9^2$	$-{\zeta }_9^{-1}-{\zeta }_9$	$-{\zeta }_9^{-4}-{\zeta }_9^4$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
25308.a.38d2	R	$38$	$-2$	$-1$	$1$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-4}+{\zeta }_9^4$	${\zeta }_9^{-1}+{\zeta }_9$	$-{\zeta }_9^{-1}-{\zeta }_9$	$-{\zeta }_9^{-4}-{\zeta }_9^4$	$-{\zeta }_9^{-2}-{\zeta }_9^2$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$
25308.a.38d3	R	$38$	$-2$	$-1$	$1$	${\zeta }_9^{-1}+{\zeta }_9$	${\zeta }_9^{-2}+{\zeta }_9^2$	${\zeta }_9^{-4}+{\zeta }_9^4$	$-{\zeta }_9^{-4}-{\zeta }_9^4$	$-{\zeta }_9^{-2}-{\zeta }_9^2$	$-{\zeta }_9^{-1}-{\zeta }_9$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$0$	$1$	$1$