Fi22Database:= [rec( name := "Fi22", sbgname := "2.U6(2)", filename := "2.U62", origin := "The collapsed adjacency matrices were computed by C. E. Praeger and L. H. 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E. Praeger and L. H. Soicher.", degree := 14080, rank := 3, permchar := "1a + 429a + 13650a", permchar2 := "1a + 429a + 13650a", charnmbs := [ 1, 3, 9 ], charnmbs2 := [ 1, 3, 9 ], ctbl := [ [ 1, 3159, 10920 ], [ 1, 279, -280 ], [ 1, -9, 8 ] ], mats := [ [ [ 1, 0, 0 ], [ 0, 1, 0 ], [ 0, 0, 1 ] ], [ [ 0, 3159, 0 ], [ 1, 918, 2240 ], [ 0, 648, 2511 ] ], [ [ 0, 0, 10920 ], [ 0, 2240, 8680 ], [ 1, 2511, 8408 ] ] ] ), rec( name := "Fi22", sbgname := "O8^+(2).3.2", filename := "O8+2.3.2", origin := "The collapsed adjacency matrices were computed by C. E. Praeger and L. H. 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0, 4096, 10240, 10240, 25600, 10240, 71680, 29440, 286720 ], [ 0, 0, 3840, 1536, 13824, 13824, 16128, 19968, 30720, 79104, 270336 ], [ 0, 480, 1200, 2400, 9600, 9600, 18000, 21600, 55200, 52800, 278400 ], [ 0, 216, 1944, 1728, 12960, 12960, 21168, 18144, 44064, 57888, 278208 ], [ 0, 216, 1944, 1728, 12960, 12960, 21168, 18144, 44064, 57888, 278208 ], [ 0, 320, 1344, 1920, 12544, 12544, 22656, 17152, 49024, 51712, 280064 ], [ 0, 96, 1248, 1728, 8064, 8064, 12864, 30336, 43968, 59520, 283392 ], [ 0, 336, 960, 2208, 9792, 9792, 18384, 21984, 52896, 50304, 282624 ], [ 1, 115, 2060, 1760, 10720, 10720, 16160, 24800, 41920, 61664, 279360 ], [ 0, 224, 1408, 1856, 10304, 10304, 17504, 23616, 47104, 55872, 281088 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2246400 ], [ 0, 0, 5120, 10240, 51200, 51200, 87040, 102400, 215040, 286720, 1437440 ], [ 0, 768, 4608, 10752, 47616, 47616, 85248, 116736, 231936, 270336, 1430784 ], [ 0, 1200, 8400, 7200, 55200, 55200, 91200, 124800, 237600, 278400, 1387200 ], [ 0, 1080, 6696, 9936, 50976, 50112, 86400, 117504, 236304, 278208, 1409184 ], [ 0, 1080, 6696, 9936, 50112, 50976, 86400, 117504, 236304, 278208, 1409184 ], [ 0, 1088, 7104, 9728, 51200, 51200, 86528, 116480, 235520, 280064, 1407488 ], [ 0, 960, 7296, 9984, 52224, 52224, 87360, 113664, 230400, 283392, 1408896 ], [ 0, 1008, 7248, 9504, 52512, 52512, 88320, 115200, 230304, 282624, 1407168 ], [ 0, 1120, 7040, 9280, 51520, 51520, 87520, 118080, 235520, 279360, 1405440 ], [ 1, 1123, 7452, 9248, 52192, 52192, 87968, 117408, 234528, 281088, 1403200 ] ] ] ), rec( name := "Fi22.2", sbgname := "2.U6(2).2", filename := "2.U62.2", origin := "The collapsed adjacency matrices were computed by C. E. Praeger and L. H. Soicher.", degree := 3510, rank := 3, permchar := "1a^+ + 429a^+ + 3080a^+", charnmbs := [ 1, 5, 13 ], ctbl := [ [ 1, 693, 2816 ], [ 1, 63, -64 ], [ 1, -9, 8 ] ], mats := [ [ [ 1, 0, 0 ], [ 0, 1, 0 ], [ 0, 0, 1 ] ], [ [ 0, 693, 0 ], [ 1, 180, 512 ], [ 0, 126, 567 ] ], [ [ 0, 0, 2816 ], [ 0, 512, 2304 ], [ 1, 567, 2248 ] ] ] ), rec( name := "Fi22.2", sbgname := "2.U6(2) leq 2.U6(2).2", filename := "2.U62", degree := 7020, rank := 6, permchar := "1a^{+-} + 429a^{+-} + 3080a^{+-}", charnmbs := [ 1, 2, 5, 6, 13, 14 ], ctbl := [ [ 1, 1, 693, 693, 2816, 2816 ], [ 1, -1, -693, 693, 2816, -2816 ], [ 1, 1, 63, 63, -64, -64 ], [ 1, -1, -63, 63, -64, 64 ], [ 1, 1, -9, -9, 8, 8 ], [ 1, -1, 9, -9, 8, -8 ] ], mats := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ], [ [ 0, 0, 693, 0, 0, 0 ], [ 0, 0, 0, 693, 0, 0 ], [ 1, 0, 0, 180, 512, 0 ], [ 0, 1, 180, 0, 0, 512 ], [ 0, 0, 126, 0, 0, 567 ], [ 0, 0, 0, 126, 567, 0 ] ], [ [ 0, 0, 0, 693, 0, 0 ], [ 0, 0, 693, 0, 0, 0 ], [ 0, 1, 180, 0, 0, 512 ], [ 1, 0, 0, 180, 512, 0 ], [ 0, 0, 0, 126, 567, 0 ], [ 0, 0, 126, 0, 0, 567 ] ], [ [ 0, 0, 0, 0, 2816, 0 ], [ 0, 0, 0, 0, 0, 2816 ], [ 0, 0, 512, 0, 0, 2304 ], [ 0, 0, 0, 512, 2304, 0 ], [ 1, 0, 0, 567, 2248, 0 ], [ 0, 1, 567, 0, 0, 2248 ] ], [ [ 0, 0, 0, 0, 0, 2816 ], [ 0, 0, 0, 0, 2816, 0 ], [ 0, 0, 0, 512, 2304, 0 ], [ 0, 0, 512, 0, 0, 2304 ], [ 0, 1, 567, 0, 0, 2248 ], [ 1, 0, 0, 567, 2248, 0 ] ] ] ), rec( name := "Fi22.2", sbgname := "O7(3)", filename := "O73", degree := 28160, rank := 6, permchar := "1a^{+-} + 429a^{+-} + 13650a^{+-}", charnmbs := [ 1, 2, 5, 6, 17, 18 ], ctbl := [ [ 1, 364, 1080, 3159, 10920, 12636 ], [ 1, -364, -1080, 3159, 10920, -12636 ], [ 1, 84, -120, 279, -280, 36 ], [ 1, -84, 120, 279, -280, -36 ], [ 1, 12, 24, -9, 8, -36 ], [ 1, -12, -24, -9, 8, 36 ] ], mats := [ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 364, 0, 0, 0, 0 ], [ 1, 0, 0, 243, 120, 0 ], [ 0, 0, 0, 0, 364, 0 ], [ 0, 28, 0, 0, 0, 336 ], [ 0, 4, 36, 0, 0, 324 ], [ 0, 0, 0, 84, 280, 0 ] ], [ [ 0, 0, 1080, 0, 0, 0 ], [ 0, 0, 0, 0, 1080, 0 ], [ 1, 0, 0, 351, 728, 0 ], [ 0, 0, 120, 0, 0, 960 ], [ 0, 36, 72, 0, 0, 972 ], [ 0, 0, 0, 240, 840, 0 ] ], [ [ 0, 0, 0, 3159, 0, 0 ], [ 0, 243, 0, 0, 0, 2916 ], [ 0, 0, 351, 0, 0, 2808 ], [ 1, 0, 0, 918, 2240, 0 ], [ 0, 0, 0, 648, 2511, 0 ], [ 0, 84, 240, 0, 0, 2835 ] ], [ [ 0, 0, 0, 0, 10920, 0 ], [ 0, 120, 1080, 0, 0, 9720 ], [ 0, 364, 728, 0, 0, 9828 ], [ 0, 0, 0, 2240, 8680, 0 ], [ 1, 0, 0, 2511, 8408, 0 ], [ 0, 280, 840, 0, 0, 9800 ] ], [ [ 0, 0, 0, 0, 0, 12636 ], [ 0, 0, 0, 2916, 9720, 0 ], [ 0, 0, 0, 2808, 9828, 0 ], [ 0, 336, 960, 0, 0, 11340 ], [ 0, 324, 972, 0, 0, 11340 ], [ 1, 0, 0, 2835, 9800, 0 ] ] ] ), rec( name := "Fi22.2", sbgname := "O8^+(2).3.2x2", filename := "O8+2.3.2x2", origin := "The collapsed adjacency matrices were computed by C. E. Praeger and L. H. Soicher.", degree := 61776, rank := 4, permchar := "1a^+ + 3080a^+ + 13650a^+ + 45045a^+", charnmbs := [ 1, 13, 17, 25 ], ctbl := [ [ 1, 1575, 22400, 37800 ], [ 1, 171, -64, -108 ], [ 1, -9, 224, -216 ], [ 1, -9, -64, 72 ] ], mats := [ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], [ [ 0, 1575, 0, 0 ], [ 1, 198, 512, 864 ], [ 0, 36, 567, 972 ], [ 0, 36, 576, 963 ] ], [ [ 0, 0, 22400, 0 ], [ 0, 512, 8064, 13824 ], [ 1, 567, 8224, 13608 ], [ 0, 576, 8064, 13760 ] ], [ [ 0, 0, 0, 37800 ], [ 0, 864, 13824, 23112 ], [ 0, 972, 13608, 23220 ], [ 1, 963, 13760, 23076 ] ] ] ), rec( name := "Fi22.2", sbgname := "O8^+(2).3.2 leq O8^+(2).3.2x2", filename := "O8+2.3.2", degree := 123552, rank := 8, permchar := "1a^{+-} + 3080a^{+-} + 13650a^{+-} + 45045a^{+-}", charnmbs := [ 1, 2, 13, 14, 17, 18, 25, 26 ], ctbl := [ [ 1, 1, 1575, 1575, 22400, 22400, 37800, 37800 ], [ 1, -1, 1575, -1575, -22400, 22400, 37800, -37800 ], [ 1, 1, 171, 171, -64, -64, -108, -108 ], [ 1, -1, 171, -171, 64, -64, -108, 108 ], [ 1, 1, -9, -9, 224, 224, -216, -216 ], [ 1, -1, -9, 9, -224, 224, -216, 216 ], [ 1, 1, -9, -9, -64, -64, 72, 72 ], [ 1, -1, -9, 9, 64, -64, 72, -72 ] ], mats := [ [ [ 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0 ] ], [ [ 0, 0, 1575, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1575, 0, 0, 0, 0 ], [ 1, 0, 198, 0, 0, 512, 864, 0 ], [ 0, 1, 0, 198, 512, 0, 0, 864 ], [ 0, 0, 0, 36, 567, 0, 0, 972 ], [ 0, 0, 36, 0, 0, 567, 972, 0 ], [ 0, 0, 36, 0, 0, 576, 963, 0 ], [ 0, 0, 0, 36, 576, 0, 0, 963 ] ], [ [ 0, 0, 0, 1575, 0, 0, 0, 0 ], [ 0, 0, 1575, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 198, 512, 0, 0, 864 ], [ 1, 0, 198, 0, 0, 512, 864, 0 ], [ 0, 0, 36, 0, 0, 567, 972, 0 ], [ 0, 0, 0, 36, 567, 0, 0, 972 ], [ 0, 0, 0, 36, 576, 0, 0, 963 ], [ 0, 0, 36, 0, 0, 576, 963, 0 ] ], [ [ 0, 0, 0, 0, 22400, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 22400, 0, 0 ], [ 0, 0, 0, 512, 8064, 0, 0, 13824 ], [ 0, 0, 512, 0, 0, 8064, 13824, 0 ], [ 1, 0, 567, 0, 0, 8224, 13608, 0 ], [ 0, 1, 0, 567, 8224, 0, 0, 13608 ], [ 0, 0, 0, 576, 8064, 0, 0, 13760 ], [ 0, 0, 576, 0, 0, 8064, 13760, 0 ] ], [ [ 0, 0, 0, 0, 0, 22400, 0, 0 ], [ 0, 0, 0, 0, 22400, 0, 0, 0 ], [ 0, 0, 512, 0, 0, 8064, 13824, 0 ], [ 0, 0, 0, 512, 8064, 0, 0, 13824 ], [ 0, 1, 0, 567, 8224, 0, 0, 13608 ], [ 1, 0, 567, 0, 0, 8224, 13608, 0 ], [ 0, 0, 576, 0, 0, 8064, 13760, 0 ], [ 0, 0, 0, 576, 8064, 0, 0, 13760 ] ], [ [ 0, 0, 0, 0, 0, 0, 37800, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 37800 ], [ 0, 0, 864, 0, 0, 13824, 23112, 0 ], [ 0, 0, 0, 864, 13824, 0, 0, 23112 ], [ 0, 0, 0, 972, 13608, 0, 0, 23220 ], [ 0, 0, 972, 0, 0, 13608, 23220, 0 ], [ 1, 0, 963, 0, 0, 13760, 23076, 0 ], [ 0, 1, 0, 963, 13760, 0, 0, 23076 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 37800 ], [ 0, 0, 0, 0, 0, 0, 37800, 0 ], [ 0, 0, 0, 864, 13824, 0, 0, 23112 ], [ 0, 0, 864, 0, 0, 13824, 23112, 0 ], [ 0, 0, 972, 0, 0, 13608, 23220, 0 ], [ 0, 0, 0, 972, 13608, 0, 0, 23220 ], [ 0, 1, 0, 963, 13760, 0, 0, 23076 ], [ 1, 0, 963, 0, 0, 13760, 23076, 0 ] ] ] ), rec( name := "Fi22.2", sbgname := "O8^+(2).S3 leq O8^+(2).3.2x2", filename := "O8+2.S3", degree := 123552, rank := 7, permchar := "1a^+ + 1001a^+ + 3080a^+ + 10725a^- + 13650a^+ + 45045a^+ + 50050a^-", charnmbs := [ 1, 7, 13, 16, 17, 25, 30 ], ctbl := [ [ 1, 1, 1575, 1575, 22400, 22400, 75600 ], [ 1, -1, -225, 225, -800, 800, 0 ], [ 1, 1, 171, 171, -64, -64, -216 ], [ 1, -1, 63, -63, -224, 224, 0 ], [ 1, 1, -9, -9, 224, 224, -432 ], [ 1, 1, -9, -9, -64, -64, 144 ], [ 1, -1, -9, 9, 64, -64, 0 ] ], mats := [ [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 0, 1575, 0, 0, 0, 0 ], [ 0, 0, 0, 1575, 0, 0, 0 ], [ 1, 0, 54, 144, 0, 512, 864 ], [ 0, 1, 144, 54, 512, 0, 864 ], [ 0, 0, 0, 36, 243, 324, 972 ], [ 0, 0, 36, 0, 324, 243, 972 ], [ 0, 0, 18, 18, 288, 288, 963 ] ], [ [ 0, 0, 0, 1575, 0, 0, 0 ], [ 0, 0, 1575, 0, 0, 0, 0 ], [ 0, 1, 144, 54, 512, 0, 864 ], [ 1, 0, 54, 144, 0, 512, 864 ], [ 0, 0, 36, 0, 324, 243, 972 ], [ 0, 0, 0, 36, 243, 324, 972 ], [ 0, 0, 18, 18, 288, 288, 963 ] ], [ [ 0, 0, 0, 0, 22400, 0, 0 ], [ 0, 0, 0, 0, 0, 22400, 0 ], [ 0, 0, 0, 512, 3456, 4608, 13824 ], [ 0, 0, 512, 0, 4608, 3456, 13824 ], [ 1, 0, 243, 324, 3888, 4336, 13608 ], [ 0, 1, 324, 243, 4336, 3888, 13608 ], [ 0, 0, 288, 288, 4032, 4032, 13760 ] ], [ [ 0, 0, 0, 0, 0, 22400, 0 ], [ 0, 0, 0, 0, 22400, 0, 0 ], [ 0, 0, 512, 0, 4608, 3456, 13824 ], [ 0, 0, 0, 512, 3456, 4608, 13824 ], [ 0, 1, 324, 243, 4336, 3888, 13608 ], [ 1, 0, 243, 324, 3888, 4336, 13608 ], [ 0, 0, 288, 288, 4032, 4032, 13760 ] ], [ [ 0, 0, 0, 0, 0, 0, 75600 ], [ 0, 0, 0, 0, 0, 0, 75600 ], [ 0, 0, 864, 864, 13824, 13824, 46224 ], [ 0, 0, 864, 864, 13824, 13824, 46224 ], [ 0, 0, 972, 972, 13608, 13608, 46440 ], [ 0, 0, 972, 972, 13608, 13608, 46440 ], [ 1, 1, 963, 963, 13760, 13760, 46152 ] ] ] ), rec( name := "Fi22.2", sbgname := "O8^+(2).3x2 leq O8^+(2).3.2x2", filename := "O8+2.3x2", degree := 123552, rank := 7, permchar := "1a^+ + 1001a^- + 3080a^+ + 10725a^+ + 13650a^+ + 45045a^+ + 50050a^+", charnmbs := [ 1, 8, 13, 15, 17, 25, 29 ], ctbl := [ [ 1, 1, 1575, 1575, 22400, 22400, 75600 ], [ 1, -1, 225, -225, -800, 800, 0 ], [ 1, 1, 171, 171, -64, -64, -216 ], [ 1, -1, -63, 63, -224, 224, 0 ], [ 1, 1, -9, -9, 224, 224, -432 ], [ 1, 1, -9, -9, -64, -64, 144 ], [ 1, -1, 9, -9, 64, -64, 0 ] ], mats := [ [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 0, 1575, 0, 0, 0, 0 ], [ 0, 0, 0, 1575, 0, 0, 0 ], [ 1, 0, 144, 54, 0, 512, 864 ], [ 0, 1, 54, 144, 512, 0, 864 ], [ 0, 0, 0, 36, 324, 243, 972 ], [ 0, 0, 36, 0, 243, 324, 972 ], [ 0, 0, 18, 18, 288, 288, 963 ] ], [ [ 0, 0, 0, 1575, 0, 0, 0 ], [ 0, 0, 1575, 0, 0, 0, 0 ], [ 0, 1, 54, 144, 512, 0, 864 ], [ 1, 0, 144, 54, 0, 512, 864 ], [ 0, 0, 36, 0, 243, 324, 972 ], [ 0, 0, 0, 36, 324, 243, 972 ], [ 0, 0, 18, 18, 288, 288, 963 ] ], [ [ 0, 0, 0, 0, 22400, 0, 0 ], [ 0, 0, 0, 0, 0, 22400, 0 ], [ 0, 0, 0, 512, 4608, 3456, 13824 ], [ 0, 0, 512, 0, 3456, 4608, 13824 ], [ 1, 0, 324, 243, 3888, 4336, 13608 ], [ 0, 1, 243, 324, 4336, 3888, 13608 ], [ 0, 0, 288, 288, 4032, 4032, 13760 ] ], [ [ 0, 0, 0, 0, 0, 22400, 0 ], [ 0, 0, 0, 0, 22400, 0, 0 ], [ 0, 0, 512, 0, 3456, 4608, 13824 ], [ 0, 0, 0, 512, 4608, 3456, 13824 ], [ 0, 1, 243, 324, 4336, 3888, 13608 ], [ 1, 0, 324, 243, 3888, 4336, 13608 ], [ 0, 0, 288, 288, 4032, 4032, 13760 ] ], [ [ 0, 0, 0, 0, 0, 0, 75600 ], [ 0, 0, 0, 0, 0, 0, 75600 ], [ 0, 0, 864, 864, 13824, 13824, 46224 ], [ 0, 0, 864, 864, 13824, 13824, 46224 ], [ 0, 0, 972, 972, 13608, 13608, 46440 ], [ 0, 0, 972, 972, 13608, 13608, 46440 ], [ 1, 1, 963, 963, 13760, 13760, 46152 ] ] ] ), rec( name := "Fi22.2", sbgname := "O8^+(2).2x2 leq O8^+(2).3.2x2", filename := "O8+2.2x2", degree := 185328, rank := 7, permchar := "1a^+ + 429a^+ + 3080a^+ + 13650a^+ + 45045a^+ + 48048a^+ + 75075a^+", charnmbs := [ 1, 5, 13, 17, 25, 27, 33 ], ctbl := [ [ 1, 2, 1575, 3150, 22400, 44800, 113400 ], [ 1, -1, 315, -315, 2240, -2240, 0 ], [ 1, 2, 171, 342, -64, -128, -324 ], [ 1, 2, -9, -18, 224, 448, -648 ], [ 1, 2, -9, -18, -64, -128, 216 ] , [ 1, -1, -45, 45, 80, -80, 0 ], [ 1, -1, 27, -27, -64, 64, 0 ] ] , mats := [ [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 2, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ] ], [ [ 0, 0, 1575, 0, 0, 0, 0 ], [ 0, 0, 0, 1575, 0, 0, 0 ], [ 1, 0, 102, 96, 512, 0, 864 ], [ 0, 1, 48, 150, 0, 512, 864 ], [ 0, 0, 36, 0, 351, 216, 972 ], [ 0, 0, 0, 36, 108, 459, 972 ], [ 0, 0, 12, 24, 192, 384, 963 ] ], [ [ 0, 0, 0, 3150, 0, 0, 0 ], [ 0, 0, 1575, 1575, 0, 0, 0 ], [ 0, 2, 96, 300, 0, 1024, 1728 ], [ 1, 1, 150, 246, 512, 512, 1728 ], [ 0, 0, 0, 72, 216, 918, 1944 ], [ 0, 0, 36, 36, 459, 675, 1944 ], [ 0, 0, 24, 48, 384, 768, 1926 ] ], [ [ 0, 0, 0, 0, 22400, 0, 0 ], [ 0, 0, 0, 0, 0, 22400, 0 ], [ 0, 0, 512, 0, 4992, 3072, 13824 ], [ 0, 0, 0, 512, 1536, 6528, 13824 ], [ 1, 0, 351, 216, 3904, 4320, 13608 ], [ 0, 1, 108, 459, 2160, 6064, 13608 ], [ 0, 0, 192, 384, 2688, 5376, 13760 ] ], [ [ 0, 0, 0, 0, 0, 44800, 0 ], [ 0, 0, 0, 0, 22400, 22400, 0 ], [ 0, 0, 0, 1024, 3072, 13056, 27648 ], [ 0, 0, 512, 512, 6528, 9600, 27648 ], [ 0, 2, 216, 918, 4320, 12128, 27216 ], [ 1, 1, 459, 675, 6064, 10384, 27216 ], [ 0, 0, 384, 768, 5376, 10752, 27520 ] ], [ [ 0, 0, 0, 0, 0, 0, 113400 ], [ 0, 0, 0, 0, 0, 0, 113400 ], [ 0, 0, 864, 1728, 13824, 27648, 69336 ], [ 0, 0, 864, 1728, 13824, 27648, 69336 ], [ 0, 0, 972, 1944, 13608, 27216, 69660 ], [ 0, 0, 972, 1944, 13608, 27216, 69660 ], [ 1, 2, 963, 1926, 13760, 27520, 69228 ] ] ] ), rec( name := "Fi22.2", sbgname := "O8^+(2).3 leq O8^+(2).3.2x2", filename := "O8+2.3", degree := 247104, rank := 14, permchar := "1a^{+-} + 1001a^{+-} + 3080a^{+-} + 10725a^{+-} + 13650a^{+-} + 45045a\ ^{+-} + 50050a^{+-}", charnmbs := [ 1, 2, 7, 8, 13, 14, 15, 16, 17, 18, 25, 26, 29, 30 ], ctbl := [ [ 1, 1, 1, 1, 1575, 1575, 1575, 1575, 22400, 22400, 22400, 22400, 75600, 75600 ], [ 1, -1, 1, -1, -1575, 1575, -1575, 1575, 22400, -22400, 22400, -22400, 75600, -75600 ], [ 1, 1, -1, -1, -225, -225, 225, 225, 800, 800, -800, -800, 0, 0 ], [ 1, -1, -1, 1, 225, -225, -225, 225, 800, -800, -800, 800, 0, 0 ], [ 1, 1, 1, 1, 171, 171, 171, 171, -64, -64, -64, -64, -216, -216 ], [ 1, -1, 1, -1, -171, 171, -171, 171, -64, 64, -64, 64, -216, 216 ], [ 1, -1, -1, 1, -63, 63, 63, -63, 224, -224, -224, 224, 0, 0 ], [ 1, 1, -1, -1, 63, 63, -63, -63, 224, 224, -224, -224, 0, 0 ], [ 1, 1, 1, 1, -9, -9, -9, -9, 224, 224, 224, 224, -432, -432 ], [ 1, -1, 1, -1, 9, -9, 9, -9, 224, -224, 224, -224, -432, 432 ], [ 1, 1, 1, 1, -9, -9, -9, -9, -64, -64, -64, -64, 144, 144 ], [ 1, -1, 1, -1, 9, -9, 9, -9, -64, 64, -64, 64, 144, -144 ], [ 1, -1, -1, 1, 9, -9, -9, 9, -64, 64, 64, -64, 0, 0 ], [ 1, 1, -1, -1, -9, -9, 9, 9, -64, -64, 64, 64, 0, 0 ] ], mats := [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 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13760, 13760, 27520, 27520, 138456 ] ] ] ), rec( name := "Fi22.2", sbgname := "2^{10}:M22.2", filename := "2^10:M22.2", degree := 142155, rank := 8, permchar := "1a^+ + 78a^+ + 429a^+ + 1430a^+ + 3080a^+ + 30030a^+ + 32032a^+ + 7507\ 5a^+", charnmbs := [ 1, 3, 5, 9, 13, 19, 21, 33 ], ctbl := [ [ 1, 154, 1024, 3696, 4928, 11264, 42240, 78848 ], [ 1, -77, -320, 924, 1232, -1408, -5280, 4928 ], [ 1, 49, -176, 546, -532, 1184, -960, -112 ], [ 1, -35, 160, 294, -364, -400, 120, 224 ], [ 1, 37, 88, 186, 248, 32, 120, -712 ], [ 1, 13, -32, 6, -28, -112, 120, 32 ], [ 1, -17, -20, 24, 32, 32, 120, -172 ], [ 1, 1, 16, -30, -4, 32, -96, 80 ] ], mats := [ [ [ 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 154, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 120, 32, 0, 0, 0 ], [ 0, 0, 0, 0, 77, 0, 0, 77 ], [ 0, 5, 0, 5, 0, 64, 80, 0 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42112 ], [ 1, 76, 526, 2235, 2976, 6016, 22560, 44458 ] ] ] ), rec( name := "Fi22.2", sbgname := "2^{10}:M22 leq 2^{10}:M22.2", filename := "2^10:M22", degree := 284310, rank := 16, permchar := "1a^{+-} + 78a^{+-} + 429a^{+-} + 1430a^{+-} + 3080a^{+-} + 30030a^{+-}\ + 32032a^{+-} + 75075a^{+-}", charnmbs := [ 1, 2, 3, 4, 5, 6, 9, 10, 13, 14, 19, 20, 21, 22, 33, 34 ], ctbl := [ [ 1, 1, 154, 154, 1024, 1024, 3696, 3696, 4928, 4928, 11264, 11264, 42240, 42240, 78848, 78848 ], [ 1, -1, -154, 154, 1024, -1024, 3696, -3696, -4928, 4928, -11264, 11264, 42240, -42240, -78848, 78848 ], [ 1, 1, -77, -77, -320, -320, 924, 924, 1232, 1232, -1408, -1408, -5280, -5280, 4928, 4928 ], [ 1, -1, 77, -77, -320, 320, 924, -924, -1232, 1232, 1408, -1408, -5280, 5280, -4928, 4928 ], [ 1, 1, 49, 49, -176, -176, 546, 546, -532, -532, 1184, 1184, -960, -960, -112, -112 ], [ 1, -1, -49, 49, -176, 176, 546, -546, 532, -532, -1184, 1184, -960, 960, 112, -112 ], [ 1, 1, -35, -35, 160, 160, 294, 294, -364, -364, 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[ 1, 45, 510, 960, 2808, 4080, 15948, 51968, 84096, 81504 ] ] ] ), rec( name := "Fi22.2", sbgname := "2^6:S6(2) leq 2^7:S6(2)", filename := "2^6:S62", degree := 1389960, rank := 20, permchar := "1a^{+-} + 429a^{+-} + 1430a^{+-} + 3080a^{+-} + 13650a^{+-} + 30030a^{\ +-} + 45045a^{+-} + 75075a^{+-} + 205920a^{+-} + 320320a^{+-}", charnmbs := [ 1, 2, 5, 6, 9, 10, 13, 14, 17, 18, 19, 20, 25, 26, 33, 34, 46, 47, 52, 53 ], ctbl := [ [ 1, 1, 135, 135, 1260, 1260, 2304, 2304, 8640, 8640, 10080, 10080, 45360, 45360, 143360, 143360, 241920, 241920, 241920, 241920 ], [ 1, -1, 135, -135, -1260, 1260, 2304, -2304, 8640, -8640, -10080, 10080, -45360, 45360, 143360, -143360, 241920, 241920, -241920, -241920 ], [ 1, 1, -15, -15, 210, 210, 624, 624, -960, -960, 1680, 1680, 1260, 1260, 8960, 8960, -10080, -1680, -1680, -10080 ], [ 1, -1, -15, 15, -210, 210, 624, -624, -960, 960, -1680, 1680, -1260, 1260, 8960, -8960, -10080, -1680, 1680, 10080 ], [ 1, 1, -27, -27, 126, 126, -288, -288, 216, 216, 1008, 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