GAP Character Table Library
Simple Groups by Group Order
| A5 |
60 |
22 3 5 |
| L3(2) |
168 |
23 3 7 |
| A6 |
360 |
23 32 5 |
| L2(8) |
504 |
23 32 7 |
| L2(11) |
660 |
22 3 5 11 |
| L2(13) |
1092 |
22 3 7 13 |
| L2(17) |
2448 |
24 32 17 |
| A7 |
2520 |
23 32 5 7 |
| L2(19) |
3420 |
22 32 5 19 |
| L2(16) |
4080 |
24 3 5 17 |
| L3(3) |
5616 |
24 33 13 |
| U3(3) |
6048 |
25 33 7 |
| L2(23) |
6072 |
23 3 11 23 |
| L2(25) |
7800 |
23 3 52 13 |
| M11 |
7920 |
24 32 5 11 |
| L2(27) |
9828 |
22 33 7 13 |
| L2(29) |
12180 |
22 3 5 7 29 |
| L2(31) |
14880 |
25 3 5 31 |
| A8 |
20160 |
26 32 5 7 |
| L3(4) |
20160 |
26 32 5 7 |
| L2(37) |
25308 |
22 32 19 37 |
| S4(3) |
25920 |
26 34 5 |
| Sz(8) |
29120 |
26 5 7 13 |
| L2(32) |
32736 |
25 3 11 31 |
| L2(41) |
34440 |
23 3 5 7 41 |
| L2(43) |
39732 |
22 3 7 11 43 |
| L2(47) |
51888 |
24 3 23 47 |
| L2(49) |
58800 |
24 3 52 72 |
| U3(4) |
62400 |
26 3 52 13 |
| L2(53) |
74412 |
22 33 13 53 |
| M12 |
95040 |
26 33 5 11 |
| L2(59) |
102660 |
22 3 5 29 59 |
| L2(61) |
113460 |
22 3 5 31 61 |
| U3(5) |
126000 |
24 32 53 7 |
| L2(67) |
150348 |
22 3 11 17 67 |
| J1 |
175560 |
23 3 5 7 11 19 |
| L2(71) |
178920 |
23 32 5 7 71 |
| A9 |
181440 |
26 34 5 7 |
| L2(73) |
194472 |
23 32 37 73 |
| L2(79) |
246480 |
24 3 5 13 79 |
| L2(64) |
262080 |
26 32 5 7 13 |
| L2(81) |
265680 |
24 34 5 41 |
| L2(83) |
285852 |
22 3 7 41 83 |
| L2(89) |
352440 |
23 32 5 11 89 |
| L3(5) |
372000 |
25 3 53 31 |
| M22 |
443520 |
27 32 5 7 11 |
| L2(97) |
456288 |
25 3 72 97 |
| L2(101) |
515100 |
22 3 52 17 101 |
| L2(103) |
546312 |
23 3 13 17 103 |
| J2 |
604800 |
27 33 52 7 |
| L2(107) |
612468 |
22 33 53 107 |
| L2(109) |
647460 |
22 33 5 11 109 |
| L2(113) |
721392 |
24 3 7 19 113 |
| L2(121) |
885720 |
23 3 5 112 61 |
| L2(125) |
976500 |
22 32 53 7 31 |
| S4(4) |
979200 |
28 32 52 17 |
| L2(127) |
1024128 |
27 32 7 127 |
| L2(131) |
1123980 |
22 3 5 11 13 131 |
| L2(137) |
1285608 |
23 3 17 23 137 |
| L2(139) |
1342740 |
22 3 5 7 23 139 |
| S6(2) |
1451520 |
29 34 5 7 |
| L2(149) |
1653900 |
22 3 52 37 149 |
| L2(151) |
1721400 |
23 3 52 19 151 |
| A10 |
1814400 |
27 34 52 7 |
| L3(7) |
1876896 |
25 32 73 19 |
| L2(157) |
1934868 |
22 3 13 79 157 |
| L2(128) |
2097024 |
27 3 43 127 |
| L2(163) |
2165292 |
22 34 41 163 |
| L2(167) |
2328648 |
23 3 7 83 167 |
| L2(169) |
2413320 |
23 3 5 7 132 17 |
| L2(173) |
2588772 |
22 3 29 43 173 |
| L2(179) |
2867580 |
22 32 5 89 179 |
| L2(181) |
2964780 |
22 32 5 7 13 181 |
| U4(3) |
3265920 |
27 36 5 7 |
| L2(191) |
3483840 |
26 3 5 19 191 |
| L2(193) |
3594432 |
26 3 97 193 |
| L2(197) |
3822588 |
22 32 72 11 197 |
| L2(199) |
3940200 |
23 32 52 11 199 |
| G2(3) |
4245696 |
26 36 7 13 |
| S4(5) |
4680000 |
26 32 54 13 |
| L2(211) |
4696860 |
22 3 5 7 53 211 |
| U3(8) |
5515776 |
29 34 7 19 |
| L2(223) |
5544672 |
25 3 7 37 223 |
| U3(7) |
5663616 |
27 3 73 43 |
| L2(227) |
5848428 |
22 3 19 113 227 |
| L2(229) |
6004380 |
22 3 5 19 23 229 |
| L4(3) |
6065280 |
27 36 5 13 |
| L2(233) |
6324552 |
23 32 13 29 233 |
| L2(239) |
6825840 |
24 3 5 7 17 239 |
| L2(241) |
6998640 |
24 3 5 112 241 |
| L2(243) |
7174332 |
22 35 112 61 |
| L2(251) |
7906500 |
22 32 53 7 251 |
| L2(257) |
8487168 |
28 3 43 257 |
| L2(263) |
9095592 |
23 3 11 131 263 |
| L2(269) |
9732420 |
22 33 5 67 269 |
| L2(271) |
9951120 |
24 33 5 17 271 |
| L5(2) |
9999360 |
210 32 5 7 31 |
| M23 |
10200960 |
27 32 5 7 11 23 |
| L2(277) |
10626828 |
22 3 23 139 277 |
| L2(281) |
11093880 |
23 3 5 7 47 281 |
| L2(283) |
11332452 |
22 3 47 71 283 |
| L2(289) |
12068640 |
25 32 5 172 29 |
| L2(293) |
12576732 |
22 3 72 73 293 |
| U5(2) |
13685760 |
210 35 5 11 |
| L2(307) |
14467068 |
22 32 7 11 17 307 |
| L2(311) |
15039960 |
23 3 5 13 31 311 |
| L2(313) |
15331992 |
23 3 13 157 313 |
| L2(317) |
15927348 |
22 3 53 79 317 |
| L3(8) |
16482816 |
29 32 72 73 |
| L2(256) |
16776960 |
28 3 5 17 257 |
| 2F4(2)' |
17971200 |
211 33 52 13 |
| L2(331) |
18132180 |
22 3 5 11 83 331 |
| L2(337) |
19136208 |
24 3 7 132 337 |
| A11 |
19958400 |
27 34 52 7 11 |
| L2(343) |
20176632 |
23 32 73 19 43 |
| L2(347) |
20890788 |
22 3 29 173 347 |
| L2(349) |
21254100 |
22 3 52 7 29 349 |
| L2(353) |
21993312 |
25 3 11 59 353 |
| L2(359) |
23133960 |
23 32 5 179 359 |
| L2(361) |
23522760 |
23 32 5 192 181 |
| L2(367) |
24715248 |
24 3 23 61 367 |
| L2(373) |
25947372 |
22 3 11 17 31 373 |
| L2(379) |
27219780 |
22 33 5 7 19 379 |
| L2(383) |
28090752 |
27 3 191 383 |
| L2(389) |
29431740 |
22 3 5 13 97 389 |
| L2(397) |
31285188 |
22 32 11 199 397 |
| L2(401) |
32240400 |
24 3 52 67 401 |
| Sz(32) |
32537600 |
210 52 31 41 |
| L2(409) |
34208760 |
23 3 5 17 41 409 |
| L2(419) |
36779820 |
22 3 5 7 11 19 419 |
| L2(421) |
37309020 |
22 3 5 7 211 421 |
| L2(431) |
40031280 |
24 33 5 43 431 |
| L2(433) |
40591152 |
24 33 7 31 433 |
| L2(439) |
42302040 |
23 3 5 11 73 439 |
| L3(9) |
42456960 |
27 36 5 7 13 |
| U3(9) |
42573600 |
25 36 52 73 |
| L2(443) |
43468932 |
22 3 13 17 37 443 |
| HS |
44352000 |
29 32 53 7 11 |
| L2(449) |
45259200 |
26 32 52 7 449 |
| L2(457) |
47721768 |
23 3 19 229 457 |
| L2(461) |
48985860 |
22 3 5 7 11 23 461 |
| L2(463) |
49626192 |
24 3 7 11 29 463 |
| J3 |
50232960 |
27 35 5 17 19 |
| L2(467) |
50923548 |
22 32 13 233 467 |
| L2(479) |
54950880 |
25 3 5 239 479 |
| L2(487) |
57750408 |
23 35 61 487 |
| L2(491) |
59185140 |
22 3 5 72 41 491 |
| L2(499) |
62125500 |
22 3 53 83 499 |
| L2(503) |
63631512 |
23 32 7 251 503 |
| L2(509) |
65935860 |
22 3 5 17 127 509 |
| L2(521) |
70710120 |
23 32 5 13 29 521 |
| U3(11) |
70915680 |
25 32 5 113 37 |
| L2(523) |
71527572 |
22 32 29 131 523 |
| L2(529) |
74017680 |
24 3 5 11 232 53 |
| L2(541) |
79169940 |
22 33 5 271 541 |
| L2(547) |
81833388 |
22 3 7 13 137 547 |
| L2(557) |
86404068 |
22 32 31 139 557 |
| L2(563) |
89226492 |
22 3 47 281 563 |
| L2(569) |
92109720 |
23 3 5 19 71 569 |
| L2(571) |
93084420 |
22 3 5 11 13 19 571 |
| L2(577) |
96049728 |
26 32 172 577 |
| L2(587) |
101130708 |
22 3 72 293 587 |
| L2(593) |
104263632 |
24 33 11 37 593 |
| L2(599) |
107460600 |
23 3 52 13 23 599 |
| L2(601) |
108540600 |
23 3 52 7 43 601 |
| L2(607) |
111823968 |
25 3 19 101 607 |
| L2(613) |
115172892 |
22 32 17 307 613 |
| L2(617) |
117442248 |
23 3 7 11 103 617 |
| L2(619) |
118588020 |
22 3 5 31 103 619 |
| L2(625) |
122070000 |
24 3 54 13 313 |
| L2(631) |
125619480 |
23 32 5 7 79 631 |
| L2(641) |
131687040 |
27 3 5 107 641 |
| L2(643) |
132923532 |
22 3 7 23 107 643 |
| L2(512) |
134217216 |
29 33 7 19 73 |
| L2(647) |
135419688 |
23 34 17 19 647 |
| S4(7) |
138297600 |
28 32 52 74 |
| L2(653) |
139222212 |
22 3 109 163 653 |
| L2(659) |
143095260 |
22 3 5 7 11 47 659 |
| L2(661) |
144402060 |
22 3 5 11 331 661 |
| L2(673) |
152410272 |
25 3 7 337 673 |
| L2(677) |
155144028 |
22 3 132 113 677 |
| L2(683) |
159305652 |
22 32 11 19 31 683 |
| L2(691) |
164969340 |
22 3 5 23 173 691 |
| L2(701) |
172235700 |
22 33 52 7 13 701 |
| O8+(2) |
174182400 |
212 35 52 7 |
| L2(709) |
178200060 |
22 3 5 59 71 709 |
| L2(719) |
185847120 |
24 32 5 359 719 |
| L2(727) |
192119928 |
23 3 7 112 13 727 |
| L2(729) |
193709880 |
23 36 5 7 13 73 |
| L2(733) |
196916052 |
22 3 61 367 733 |
| O8-(2) |
197406720 |
212 34 5 7 17 |
| L2(739) |
201791340 |
22 32 5 37 41 739 |
| L2(743) |
205085832 |
23 3 7 31 53 743 |
| 3D4(2) |
211341312 |
212 34 72 13 |
| L2(751) |
211782000 |
24 3 53 47 751 |
| L3(11) |
212427600 |
24 3 52 7 113 19 |
| L2(757) |
216898668 |
22 33 7 379 757 |
| L2(761) |
220355160 |
23 3 5 19 127 761 |
| L2(769) |
227377920 |
28 3 5 7 11 769 |
| L2(773) |
230944572 |
22 32 43 193 773 |
| A12 |
239500800 |
29 35 52 7 11 |
| L2(787) |
243721308 |
22 3 131 197 787 |
| M24 |
244823040 |
210 33 5 7 11 23 |
| G2(4) |
251596800 |
212 33 52 7 13 |
| L2(797) |
253130388 |
22 3 7 19 199 797 |
| L2(809) |
264737160 |
23 34 5 101 809 |
| L2(811) |
266705460 |
22 34 5 7 29 811 |
| L3(13) |
270178272 |
25 32 7 133 61 |
| L2(821) |
276693420 |
22 3 5 41 137 821 |
| L2(823) |
278720472 |
23 3 103 137 823 |
| L2(827) |
282804228 |
22 32 7 23 59 827 |
| L2(829) |
284860980 |
22 32 5 23 83 829 |
| L2(839) |
295294440 |
23 3 5 7 419 839 |
| L2(841) |
297411240 |
23 3 5 7 292 421 |
| L2(853) |
310324812 |
22 3 7 61 71 853 |
| L2(857) |
314710968 |
23 3 11 13 107 857 |
| L2(859) |
316919460 |
22 3 5 11 13 43 859 |
| L2(863) |
321367392 |
25 33 431 863 |
| L2(877) |
337262628 |
22 3 73 439 877 |
| L2(881) |
341898480 |
24 32 5 72 11 881 |
| L2(883) |
344232252 |
22 32 72 13 17 883 |
| L2(887) |
348931608 |
23 3 37 443 887 |
| L2(907) |
373070868 |
22 3 151 227 907 |
| L2(911) |
378028560 |
24 3 5 7 13 19 911 |
| L2(919) |
388075320 |
23 33 5 17 23 919 |
| L2(929) |
400882080 |
25 3 5 29 31 929 |
| L2(937) |
411328008 |
23 32 7 13 67 937 |
| L2(941) |
416618340 |
22 3 5 47 157 941 |
| L2(947) |
424638588 |
22 3 11 43 79 947 |
| L2(953) |
432761112 |
23 32 7 17 53 953 |
| L2(961) |
443751360 |
26 3 5 13 312 37 |
| L2(967) |
452115048 |
23 3 7 112 23 967 |
| L2(971) |
457748820 |
22 35 5 97 971 |
| L2(977) |
466286928 |
24 3 61 163 977 |
| L2(983) |
474930552 |
23 3 41 491 983 |
| L2(991) |
486620640 |
25 32 5 11 31 991 |
| L2(997) |
495512988 |
22 3 83 499 997 |
| L2(1009) |
513621360 |
24 32 5 7 101 1009 |
| L2(1013) |
519754092 |
22 3 11 132 23 1013 |
| L2(1019) |
529044420 |
22 3 5 17 509 1019 |
| L2(1021) |
532165620 |
22 3 5 7 17 73 1021 |
| L2(1031) |
547955880 |
23 3 5 43 103 1031 |
| L2(1033) |
551150952 |
23 3 11 43 47 1033 |
| L2(1039) |
560810640 |
24 3 5 13 173 1039 |
| L2(1049) |
577159800 |
23 3 52 7 131 1049 |
| L2(1051) |
580467300 |
22 3 52 7 263 1051 |
| L2(1061) |
597194460 |
22 32 5 53 59 1061 |
| L2(1063) |
600577992 |
23 32 7 19 59 1063 |
| L2(1069) |
610805220 |
22 3 5 89 107 1069 |
| L2(1087) |
642182208 |
26 3 17 181 1087 |
| L2(1091) |
649297740 |
22 3 5 7 13 109 1091 |
| L2(1093) |
652875132 |
22 3 7 13 547 1093 |
| L2(1097) |
660069288 |
23 32 61 137 1097 |
| L2(1103) |
670959312 |
24 3 19 23 29 1103 |
| L2(1109) |
681968460 |
22 3 5 37 277 1109 |
| L2(1117) |
696833748 |
22 32 13 31 43 1117 |
| L2(1123) |
708123372 |
22 3 11 17 281 1123 |
| L2(1129) |
719534280 |
23 3 5 47 113 1129 |
| L2(1151) |
762422400 |
27 32 52 23 1151 |
| L2(1153) |
766403712 |
27 32 577 1153 |
| L2(1163) |
786518292 |
22 3 7 83 97 1163 |
| L2(1171) |
802861020 |
22 32 5 13 293 1171 |
| U3(13) |
811273008 |
24 3 72 133 157 |
| L2(1181) |
823605780 |
22 3 5 59 197 1181 |
| L2(1187) |
836222508 |
22 33 11 593 1187 |
| L2(1193) |
848967432 |
23 3 149 199 1193 |
| L2(1201) |
866161200 |
24 3 52 601 1201 |
| L2(1213) |
892384692 |
22 3 101 607 1213 |
| McL |
898128000 |
27 36 53 7 11 |
| L2(1217) |
901242048 |
26 3 7 19 29 1217 |
| L2(1223) |
914637672 |
23 32 13 17 47 1223 |
| L2(1229) |
928165380 |
22 3 5 41 307 1229 |
| L2(1231) |
932704080 |
24 3 5 7 11 41 1231 |
| L2(1237) |
946408908 |
22 3 103 619 1237 |
| L2(1249) |
974220000 |
25 3 54 13 1249 |
| L4(4) |
987033600 |
212 34 52 7 17 |
| L2(1259) |
997807860 |
22 32 5 7 17 37 1259 |
File created automatically by GAP on 29-Dec-2001.