# Group 960.11312 downloaded from the LMFDB on 23 November 2025. ## Various presentations of this group are stored in this file: # GPC is polycyclic presentation GPerm is permutation group # GLZ, GLFp, GLZA, GLZq, GLFq if they exist are matrix groups # Many characteristics of the group are stored as booleans in a record: # Agroup, Zgroup, abelian, almost_simple,cyclic, metabelian, # metacyclic, monomial, nilpotent, perfect, quasisimple, rational, # solvable, supersolvable # The character table is stored as a record chartbl_n_i where n is the order # of the group and i is which group of that order it is. The record is # converted to a character table using ConvertToLibraryCharacterTableNC # Constructions GPC := PcGroupCode(14709546620535862463271388315655,960); a := GPC.1; b := GPC.2; c := GPC.3; d := GPC.4; e := GPC.6; GPerm := Group( (1,2)(3,4)(5,6)(7,8)(10,11), (1,2)(3,4)(5,7)(6,8), (1,2)(3,4)(5,6)(7,8), (3,4)(5,7)(6,8), (1,3)(2,4)(5,7)(6,8), (12,13,14,15,16), (1,2)(3,4), (9,10,11) ); GLZN := Group([[[ZmodnZObj(25,44), ZmodnZObj(4,44)], [ZmodnZObj(16,44), ZmodnZObj(29,44)]],[[ZmodnZObj(23,44), ZmodnZObj(0,44)], [ZmodnZObj(0,44), ZmodnZObj(23,44)]],[[ZmodnZObj(9,44), ZmodnZObj(0,44)], [ZmodnZObj(0,44), ZmodnZObj(9,44)]],[[ZmodnZObj(23,44), ZmodnZObj(0,44)], [ZmodnZObj(0,44), ZmodnZObj(1,44)]],[[ZmodnZObj(1,44), ZmodnZObj(11,44)], [ZmodnZObj(0,44), ZmodnZObj(1,44)]],[[ZmodnZObj(21,44), ZmodnZObj(0,44)], [ZmodnZObj(0,44), ZmodnZObj(21,44)]],[[ZmodnZObj(1,44), ZmodnZObj(22,44)], [ZmodnZObj(0,44), ZmodnZObj(1,44)]],[[ZmodnZObj(3,44), ZmodnZObj(16,44)], [ZmodnZObj(16,44), ZmodnZObj(19,44)]]]); # Booleans booleans_960_11312 := rec( Agroup := false, Zgroup := false, abelian := false, almost_simple := false, cyclic := false, metabelian := true, metacyclic := false, monomial := true, nilpotent := false, perfect := false, quasisimple := false, rational := false, solvable := true, supersolvable := true); # Character Table chartbl_960_11312:=rec(); chartbl_960_11312.IsFinite:= true; chartbl_960_11312.UnderlyingCharacteristic:= 0; chartbl_960_11312.UnderlyingGroup:= GLZN; chartbl_960_11312.Size:= 960; chartbl_960_11312.InfoText:= "Character table for group 960.11312 downloaded from the LMFDB."; chartbl_960_11312.Identifier:= " C60:C2^4 "; chartbl_960_11312.NrConjugacyClasses:= 300; chartbl_960_11312.ConjugacyClasses:= [[1, 0, 0, 1], [1, 22, 0, 1], [21, 0, 0, 21], [21, 22, 0, 21], [23, 0, 0, 23], [43, 0, 0, 43], [23, 22, 0, 23], [43, 22, 0, 43], [23, 0, 0, 1], [43, 0, 0, 21], [23, 33, 0, 1], [43, 33, 0, 21], [1, 0, 0, 23], [21, 0, 0, 43], [1, 11, 0, 23], [21, 11, 0, 43], [21, 8, 0, 1], [25, 16, 16, 41], [21, 30, 0, 1], [25, 38, 16, 41], [43, 8, 0, 23], [3, 16, 16, 19], [43, 30, 0, 23], [3, 38, 16, 19], [43, 8, 0, 1], [3, 16, 16, 41], [43, 41, 0, 1], [3, 5, 16, 41], [21, 8, 0, 23], [25, 16, 16, 19], [21, 19, 0, 23], [25, 27, 16, 19], [29, 40, 28, 25], [1, 33, 0, 1], [21, 33, 0, 21], [23, 11, 0, 23], [43, 11, 0, 43], [21, 19, 0, 1], [25, 27, 16, 41], [43, 41, 0, 23], [3, 5, 16, 19], [9, 0, 0, 9], [5, 0, 0, 5], [37, 0, 0, 37], [25, 0, 0, 25], [41, 40, 28, 37], [41, 18, 28, 37], [7, 40, 28, 3], [19, 40, 28, 15], [7, 18, 28, 3], [19, 18, 28, 15], [25, 26, 16, 29], [7, 40, 28, 25], [19, 40, 28, 37], [7, 29, 28, 25], [19, 29, 28, 37], [29, 40, 28, 3], [41, 40, 28, 15], [29, 7, 28, 3], [41, 7, 28, 15], [9, 22, 0, 9], [5, 22, 0, 5], [25, 22, 0, 25], [37, 22, 0, 37], [17, 0, 0, 17], [13, 0, 0, 13], [29, 0, 0, 29], [41, 0, 0, 41], [17, 22, 0, 17], [13, 22, 0, 13], [29, 22, 0, 29], [41, 22, 0, 41], [3, 0, 0, 3], [15, 0, 0, 15], [27, 0, 0, 27], [31, 0, 0, 31], [39, 0, 0, 39], [35, 0, 0, 35], [7, 0, 0, 7], [19, 0, 0, 19], [3, 22, 0, 3], [15, 22, 0, 15], [27, 22, 0, 27], [31, 22, 0, 31], [39, 22, 0, 39], [35, 22, 0, 35], [7, 22, 0, 7], [19, 22, 0, 19], [3, 0, 0, 25], [15, 0, 0, 37], [27, 0, 0, 5], [31, 0, 0, 9], [39, 0, 0, 17], [35, 0, 0, 13], [7, 0, 0, 29], [19, 0, 0, 41], [3, 33, 0, 25], [15, 33, 0, 37], [27, 33, 0, 5], [31, 33, 0, 9], [39, 33, 0, 17], [35, 33, 0, 13], [7, 33, 0, 29], [19, 33, 0, 41], [25, 0, 0, 3], [37, 0, 0, 15], [5, 0, 0, 27], [9, 0, 0, 31], [17, 0, 0, 39], [13, 0, 0, 35], [29, 0, 0, 7], [41, 0, 0, 19], [25, 11, 0, 3], [37, 11, 0, 15], [5, 11, 0, 27], [9, 11, 0, 31], [17, 11, 0, 39], [13, 11, 0, 35], [29, 11, 0, 7], [41, 11, 0, 19], [41, 24, 0, 25], [21, 24, 24, 1], [17, 40, 0, 5], [25, 28, 12, 41], [9, 4, 4, 13], [1, 20, 20, 21], [5, 4, 0, 17], [5, 12, 12, 17], [41, 2, 0, 25], [21, 2, 24, 1], [17, 18, 0, 5], [25, 6, 12, 41], [9, 26, 4, 13], [1, 42, 20, 21], [5, 26, 0, 17], [5, 34, 12, 17], [19, 24, 0, 3], [43, 24, 24, 23], [39, 40, 0, 27], [3, 28, 12, 19], [31, 4, 4, 35], [23, 20, 20, 43], [27, 4, 0, 39], [27, 12, 12, 39], [19, 2, 0, 3], [43, 2, 24, 23], [39, 18, 0, 27], [3, 6, 12, 19], [31, 26, 4, 35], [23, 42, 20, 43], [27, 26, 0, 39], [27, 34, 12, 39], [19, 24, 0, 25], [43, 24, 24, 1], [39, 40, 0, 5], [3, 28, 12, 41], [31, 4, 4, 13], [23, 20, 20, 21], [27, 4, 0, 17], [27, 12, 12, 17], [19, 13, 0, 25], [43, 13, 24, 1], [39, 29, 0, 5], [3, 17, 12, 41], [31, 37, 4, 13], [23, 9, 20, 21], [27, 37, 0, 17], [27, 1, 12, 17], [41, 24, 0, 3], [21, 24, 24, 23], [17, 40, 0, 27], [25, 28, 12, 19], [9, 4, 4, 35], [1, 20, 20, 43], [5, 4, 0, 39], [5, 12, 12, 39], [41, 35, 0, 3], [21, 35, 24, 23], [17, 7, 0, 27], [25, 39, 12, 19], [9, 15, 4, 35], [1, 31, 20, 43], [5, 15, 0, 39], [5, 23, 12, 39], [29, 7, 28, 25], [41, 7, 28, 37], [7, 29, 28, 3], [19, 29, 28, 15], [5, 36, 12, 41], [13, 24, 8, 37], [17, 28, 24, 1], [9, 12, 4, 21], [25, 33, 0, 25], [37, 11, 0, 37], [5, 11, 0, 5], [9, 33, 0, 9], [17, 33, 0, 17], [13, 11, 0, 13], [29, 11, 0, 29], [41, 33, 0, 41], [3, 11, 0, 3], [15, 33, 0, 15], [27, 33, 0, 27], [31, 11, 0, 31], [39, 11, 0, 39], [35, 33, 0, 35], [7, 33, 0, 7], [19, 11, 0, 19], [41, 35, 0, 25], [21, 35, 24, 1], [17, 7, 0, 5], [25, 39, 12, 41], [9, 15, 4, 13], [1, 31, 20, 21], [5, 15, 0, 17], [5, 23, 12, 17], [19, 13, 0, 3], [43, 13, 24, 23], [39, 29, 0, 27], [3, 17, 12, 19], [31, 37, 4, 35], [23, 9, 20, 43], [27, 37, 0, 39], [27, 1, 12, 39], [1, 12, 4, 13], [5, 16, 20, 21], [25, 36, 12, 17], [9, 20, 36, 29], [1, 34, 4, 13], [5, 38, 20, 21], [25, 14, 12, 17], [9, 42, 36, 29], [27, 36, 12, 19], [15, 20, 36, 35], [39, 28, 24, 23], [43, 32, 40, 31], [23, 12, 4, 35], [27, 16, 20, 43], [3, 36, 12, 39], [31, 20, 36, 7], [27, 14, 12, 19], [15, 42, 36, 35], [39, 6, 24, 23], [43, 10, 40, 31], [23, 34, 4, 35], [27, 38, 20, 43], [3, 14, 12, 39], [31, 42, 36, 7], [17, 6, 24, 1], [9, 34, 4, 21], [13, 2, 8, 37], [5, 14, 12, 41], [27, 36, 12, 41], [15, 20, 36, 13], [39, 28, 24, 1], [43, 32, 40, 9], [23, 12, 4, 13], [27, 16, 20, 21], [3, 36, 12, 17], [31, 20, 36, 29], [27, 25, 12, 41], [15, 9, 36, 13], [39, 17, 24, 1], [43, 21, 40, 9], [23, 1, 4, 13], [27, 5, 20, 21], [3, 25, 12, 17], [31, 9, 36, 29], [5, 36, 12, 19], [37, 20, 36, 35], [17, 28, 24, 23], [21, 32, 40, 31], [1, 12, 4, 35], [5, 16, 20, 43], [25, 36, 12, 39], [9, 20, 36, 7], [5, 3, 12, 19], [37, 31, 36, 35], [17, 39, 24, 23], [21, 43, 40, 31], [1, 23, 4, 35], [5, 27, 20, 43], [25, 3, 12, 39], [9, 31, 36, 7], [5, 3, 12, 41], [37, 31, 36, 13], [17, 39, 24, 1], [21, 43, 40, 9], [1, 23, 4, 13], [5, 27, 20, 21], [25, 3, 12, 17], [9, 31, 36, 29], [27, 25, 12, 19], [15, 9, 36, 35], [39, 17, 24, 23], [43, 21, 40, 31], [23, 1, 4, 35], [27, 5, 20, 43], [3, 25, 12, 39], [31, 9, 36, 7]]; chartbl_960_11312.IdentificationOfConjugacyClasses:= [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300]; chartbl_960_11312.ComputedPowerMaps:= [ , [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, 1, 1, 1, 33, 2, 2, 2, 2, 2, 2, 2, 2, 44, 45, 43, 42, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 44, 45, 42, 43, 45, 44, 43, 42, 45, 44, 43, 42, 42, 43, 45, 44, 45, 44, 43, 42, 42, 43, 45, 44, 45, 44, 43, 42, 42, 43, 45, 44, 45, 44, 43, 42, 42, 43, 45, 44, 45, 44, 43, 42, 42, 43, 45, 44, 45, 44, 43, 42, 42, 43, 45, 44, 45, 44, 43, 42, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 42, 43, 45, 44, 52, 52, 52, 52, 191, 192, 190, 189, 61, 62, 63, 64, 63, 64, 62, 61, 61, 62, 63, 64, 63, 64, 62, 61, 61, 62, 63, 64, 61, 62, 63, 64, 61, 62, 63, 64, 61, 62, 63, 64, 189, 190, 191, 192, 189, 190, 191, 192, 191, 192, 190, 189, 189, 190, 191, 192, 191, 192, 190, 189, 189, 190, 191, 192, 190, 189, 192, 191, 191, 192, 190, 189, 189, 190, 191, 192, 191, 192, 190, 189, 189, 190, 191, 192, 191, 192, 190, 189, 189, 190, 191, 192, 191, 192, 190, 189, 189, 190, 191, 192, 249, 250, 251, 252, 252, 251, 249, 250, 249, 250, 251, 252, 252, 251, 249, 250], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 1, 34, 35, 36, 37, 38, 39, 40, 41, 45, 44, 42, 43, 3, 4, 5, 6, 7, 8, 2, 9, 10, 11, 12, 13, 14, 15, 16, 63, 64, 62, 61, 67, 68, 66, 65, 71, 72, 70, 69, 75, 76, 74, 73, 79, 80, 78, 77, 83, 84, 82, 81, 87, 88, 86, 85, 91, 92, 90, 89, 95, 96, 94, 93, 99, 100, 98, 97, 103, 104, 102, 101, 107, 108, 106, 105, 111, 112, 110, 109, 115, 116, 114, 113, 119, 120, 118, 117, 123, 124, 122, 121, 127, 128, 126, 125, 131, 132, 130, 129, 135, 136, 134, 133, 139, 140, 138, 137, 143, 144, 142, 141, 147, 148, 146, 145, 151, 152, 150, 149, 155, 156, 154, 153, 159, 160, 158, 157, 163, 164, 162, 161, 167, 168, 166, 165, 171, 172, 170, 169, 175, 176, 174, 173, 179, 180, 178, 177, 183, 184, 182, 181, 34, 35, 36, 37, 45, 44, 42, 43, 195, 196, 194, 193, 199, 200, 198, 197, 203, 204, 202, 201, 207, 208, 206, 205, 211, 212, 210, 209, 215, 216, 214, 213, 219, 220, 218, 217, 223, 224, 222, 221, 65, 66, 68, 67, 69, 70, 72, 71, 73, 74, 76, 75, 77, 78, 80, 79, 81, 82, 84, 83, 85, 86, 88, 87, 61, 62, 64, 63, 89, 90, 92, 91, 93, 94, 96, 95, 97, 98, 100, 99, 101, 102, 104, 103, 105, 106, 108, 107, 109, 110, 112, 111, 113, 114, 116, 115, 117, 118, 120, 119, 193, 194, 196, 195, 197, 198, 200, 199, 201, 202, 204, 203, 205, 206, 208, 207], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 1, 1, 1, 1, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 31, 31, 31, 31, 32, 32, 32, 32, 185, 186, 187, 188, 33, 33, 33, 33, 34, 34, 34, 34, 35, 35, 35, 35, 36, 36, 36, 36, 37, 37, 37, 37, 38, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 40, 41, 41, 41, 41, 46, 46, 46, 46, 47, 47, 47, 47, 48, 48, 48, 48, 49, 49, 49, 49, 50, 50, 50, 50, 51, 51, 51, 51, 52, 52, 52, 52, 53, 53, 53, 53, 54, 54, 54, 54, 55, 55, 55, 55, 56, 56, 56, 56, 57, 57, 57, 57, 58, 58, 58, 58, 59, 59, 59, 59, 60, 60, 60, 60, 185, 185, 185, 185, 186, 186, 186, 186, 187, 187, 187, 187, 188, 188, 188, 188]]; chartbl_960_11312.SizesCentralizers:= [960, 960, 960, 960, 960, 960, 960, 960, 480, 480, 480, 480, 480, 480, 480, 480, 320, 320, 320, 320, 320, 320, 320, 320, 160, 160, 160, 160, 160, 160, 160, 160, 480, 480, 480, 480, 480, 160, 160, 160, 160, 960, 960, 960, 960, 480, 480, 480, 480, 480, 480, 480, 240, 240, 240, 240, 240, 240, 240, 240, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 960, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 320, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 240, 240, 240, 240, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 480, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 240]; chartbl_960_11312.ClassNames:= ["1A", "2A", "2B", "2C", "2D", "2E", "2F", "2G", "2H", "2I", "2J", "2K", "2L", "2M", "2N", "2O", "2P", "2Q", "2R", "2S", "2T", "2U", "2V", "2W", "2X", "2Y", "2Z", "2AA", "2AB", "2AC", "2AD", "2AE", "3A", "4A", "4B", "4C", "4D", "4E", "4F", "4G", "4H", "5A1", "5A-1", "5A2", "5A-2", "6A", "6B", "6C", "6D", "6E", "6F", "6G", "6H", "6I", "6J", "6K", "6L", "6M", "6N", "6O", "10A1", "10A-1", "10A3", "10A-3", "10B1", "10B-1", "10B3", "10B-3", "10C1", "10C-1", "10C3", "10C-3", "10D1", "10D-1", "10D3", "10D-3", "10E1", "10E-1", "10E3", "10E-3", "10F1", "10F-1", "10F3", "10F-3", "10G1", "10G-1", "10G3", "10G-3", "10H1", "10H-1", "10H3", "10H-3", "10I1", "10I-1", "10I3", "10I-3", "10J1", "10J-1", "10J3", "10J-3", "10K1", "10K-1", "10K3", "10K-3", "10L1", "10L-1", "10L3", "10L-3", "10M1", "10M-1", "10M3", "10M-3", "10N1", "10N-1", "10N3", "10N-3", "10O1", "10O-1", "10O3", "10O-3", "10P1", "10P-1", "10P3", "10P-3", "10Q1", "10Q-1", "10Q3", "10Q-3", "10R1", "10R-1", "10R3", "10R-3", "10S1", "10S-1", "10S3", "10S-3", "10T1", "10T-1", "10T3", "10T-3", "10U1", "10U-1", "10U3", "10U-3", "10V1", "10V-1", "10V3", "10V-3", "10W1", "10W-1", "10W3", "10W-3", "10X1", "10X-1", "10X3", "10X-3", "10Y1", "10Y-1", "10Y3", "10Y-3", "10Z1", "10Z-1", "10Z3", "10Z-3", "10AA1", "10AA-1", "10AA3", "10AA-3", "10AB1", "10AB-1", "10AB3", "10AB-3", "10AC1", "10AC-1", "10AC3", "10AC-3", "10AD1", "10AD-1", "10AD3", "10AD-3", "10AE1", "10AE-1", "10AE3", "10AE-3", "12A", "12B", "12C", "12D", "15A1", "15A-1", "15A2", "15A-2", "20A1", "20A-1", "20A3", "20A-3", "20B1", "20B-1", "20B3", "20B-3", "20C1", "20C-1", "20C3", "20C-3", "20D1", "20D-1", "20D3", "20D-3", "20E1", "20E-1", "20E3", "20E-3", "20F1", "20F-1", "20F3", "20F-3", "20G1", "20G-1", "20G3", "20G-3", "20H1", "20H-1", "20H3", "20H-3", "30A1", "30A-1", "30A7", "30A-7", "30B1", "30B-1", "30B7", "30B-7", "30C1", "30C-1", "30C7", "30C-7", "30D1", "30D-1", "30D7", "30D-7", "30E1", "30E-1", "30E7", "30E-7", "30F1", "30F-1", "30F7", "30F-7", "30G1", "30G-1", "30G7", "30G-7", "30H1", "30H-1", "30H7", "30H-7", "30I1", "30I-1", "30I7", "30I-7", "30J1", "30J-1", "30J7", "30J-7", "30K1", "30K-1", "30K7", "30K-7", "30L1", "30L-1", "30L7", "30L-7", "30M1", "30M-1", "30M7", "30M-7", "30N1", "30N-1", "30N7", "30N-7", "30O1", "30O-1", "30O7", "30O-7", "60A1", "60A-1", "60A7", "60A-7", "60B1", "60B-1", "60B7", "60B-7", "60C1", "60C-1", "60C7", "60C-7", "60D1", "60D-1", "60D7", "60D-7"]; chartbl_960_11312.OrderClassRepresentatives:= [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 15, 15, 15, 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 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-4*E(5), -4*E(5), -4*E(5)^-1, -4*E(5)^-2, -4*E(5)^2, 4*E(5), 4*E(5)^-2, -4*E(5), 4*E(5)^2, -4*E(5)^2, 4*E(5), 4*E(5)^-1, 4*E(5)^-1, 4*E(5)^-2, -4*E(5)^-2, -4*E(5)^2, -4*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -2*E(5)^2, -2*E(5), -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2, 2*E(5)^-1, -2*E(5)^-2, -2*E(5)^-2, -2*E(5), -2*E(5), -2*E(5)^2, 2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, 2*E(5)^-2, 2*E(5), 2*E(5)^2, 2*E(5)^-1, -2*E(5), 2*E(5)^2, 2*E(5)^-2, -2*E(5)^-1, 2*E(5)^-1, 2*E(5), 2*E(5)^-1, -2*E(5)^-1, -2*E(5)^-2, 2*E(5)^2, 2*E(5)^-2, 2*E(5), 2*E(5), 2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5), 4*E(5)^-1, 4*E(5)^2, 4*E(5)^-2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(5)^2, 4*E(5)^-2, -4*E(5)^-1, 4*E(5)^-1, 4*E(5), 4*E(5)^2, -4*E(5)^-2, -4*E(5), 4*E(5)^-2, -4*E(5)^2, -4*E(5), -4*E(5)^-1, -4*E(5)^-1, -4*E(5), -4*E(5)^2, -4*E(5)^-2, 4*E(5)^-1, 4*E(5)^2, -4*E(5)^-1, 4*E(5)^-2, -4*E(5)^-2, 4*E(5)^-1, 4*E(5), 4*E(5), 4*E(5)^2, -4*E(5)^2, -4*E(5)^-2, -4*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5), -2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, 2*E(5), -2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, -2*E(5)^-1, -2*E(5)^-2, 2*E(5)^2, -2*E(5), -2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, 2*E(5), -2*E(5)^-1, 2*E(5)^-2, 2*E(5)^2, -2*E(5), 2*E(5), 2*E(5)^-1, 2*E(5), -2*E(5), -2*E(5)^2, 2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-1, 2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5)^-2, 4*E(5)^2, 4*E(5), 4*E(5)^-1, 2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(5), 4*E(5)^-1, 4*E(5)^2, 4*E(5)^2, -4*E(5)^-2, -4*E(5), -4*E(5)^-1, 4*E(5)^-2, -4*E(5)^-1, -4*E(5), -4*E(5)^-2, -4*E(5)^2, -4*E(5)^2, -4*E(5)^-2, 4*E(5), 4*E(5)^-1, -4*E(5)^2, 4*E(5), 4*E(5)^2, -4*E(5)^-1, -4*E(5)^-1, -4*E(5)^2, -4*E(5)^-2, 4*E(5)^-2, -4*E(5), 4*E(5), 4*E(5)^-1, 4*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, -2*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -2*E(5)^-2, 2*E(5), 2*E(5), 2*E(5)^2, 2*E(5)^2, 2*E(5)^-1, -2*E(5), 2*E(5)^-2, 2*E(5)^-1, 2*E(5), 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^2, 2*E(5)^-1, 2*E(5), 2*E(5)^-2, -2*E(5)^-2, -2*E(5)^2, 2*E(5)^-2, -2*E(5)^-2, -2*E(5), -2*E(5)^-1, -2*E(5), 2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5)^2, 4*E(5)^-2, 4*E(5)^-1, 4*E(5), 2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(5)^-1, 4*E(5), 4*E(5)^-2, 4*E(5)^-2, -4*E(5)^2, -4*E(5)^-1, -4*E(5), 4*E(5)^2, -4*E(5), -4*E(5)^-1, -4*E(5)^2, -4*E(5)^-2, -4*E(5)^-2, -4*E(5)^2, 4*E(5)^-1, 4*E(5), -4*E(5)^-2, 4*E(5)^-1, 4*E(5)^-2, -4*E(5), -4*E(5), -4*E(5)^-2, -4*E(5)^2, 4*E(5)^2, -4*E(5)^-1, 4*E(5)^-1, 4*E(5), 4*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2, -2*E(5), -2*E(5)^-2, -2*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5), -2*E(5)^2, 2*E(5)^-1, 2*E(5)^-1, 2*E(5)^-2, 2*E(5)^-2, 2*E(5), -2*E(5)^-1, 2*E(5)^2, 2*E(5), 2*E(5)^-1, 2*E(5)^-2, 2*E(5), 2*E(5)^2, -2*E(5)^-2, 2*E(5), 2*E(5)^-1, 2*E(5)^2, -2*E(5)^2, -2*E(5)^-2, 2*E(5)^2, -2*E(5)^2, -2*E(5)^-1, -2*E(5), -2*E(5)^-1, 2*E(5)^-2, -2*E(5)^-2, -2*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5)^-1, 4*E(5), 4*E(5)^-2, 4*E(5)^2, 2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(5)^-2, 4*E(5)^2, 4*E(5), 4*E(5), -4*E(5)^-1, -4*E(5)^-2, -4*E(5)^2, 4*E(5)^-1, -4*E(5)^2, -4*E(5)^-2, -4*E(5)^-1, -4*E(5), -4*E(5), -4*E(5)^-1, 4*E(5)^-2, 4*E(5)^2, -4*E(5), 4*E(5)^-2, 4*E(5), -4*E(5)^2, -4*E(5)^2, -4*E(5), -4*E(5)^-1, 4*E(5)^-1, -4*E(5)^-2, 4*E(5)^-2, 4*E(5)^2, 4*E(5)^-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-1, -2*E(5)^2, -2*E(5), -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^2, -2*E(5)^-1, 2*E(5)^-2, 2*E(5)^-2, 2*E(5), 2*E(5), 2*E(5)^2, -2*E(5)^-2, 2*E(5)^-1, 2*E(5)^2, 2*E(5)^-2, 2*E(5), 2*E(5)^2, 2*E(5)^-1, -2*E(5), 2*E(5)^2, 2*E(5)^-2, 2*E(5)^-1, -2*E(5)^-1, -2*E(5), 2*E(5)^-1, -2*E(5)^-1, -2*E(5)^-2, -2*E(5)^2, -2*E(5)^-2, 2*E(5), -2*E(5), -2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4*E(5), 4*E(5)^-1, 4*E(5)^2, 4*E(5)^-2, 2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4*E(5)^2, 4*E(5)^-2, 4*E(5)^-1, 4*E(5)^-1, -4*E(5), -4*E(5)^2, -4*E(5)^-2, 4*E(5), -4*E(5)^-2, -4*E(5)^2, -4*E(5), -4*E(5)^-1, -4*E(5)^-1, -4*E(5), 4*E(5)^2, 4*E(5)^-2, -4*E(5)^-1, 4*E(5)^2, 4*E(5)^-1, -4*E(5)^-2, -4*E(5)^-2, -4*E(5)^-1, -4*E(5), 4*E(5), -4*E(5)^2, 4*E(5)^2, 4*E(5)^-2, 4*E(5), 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5), -2*E(5)^-2, -2*E(5)^-1, -2*E(5)^2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2*E(5)^-2, -2*E(5), 2*E(5)^2, 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-1, 2*E(5)^-2, -2*E(5)^2, 2*E(5), 2*E(5)^-2, 2*E(5)^2, 2*E(5)^-1, 2*E(5)^-2, 2*E(5), -2*E(5)^-1, 2*E(5)^-2, 2*E(5)^2, 2*E(5), -2*E(5), -2*E(5)^-1, 2*E(5), -2*E(5), -2*E(5)^2, -2*E(5)^-2, -2*E(5)^2, 2*E(5)^-1, -2*E(5)^-1, -2*E(5)^-2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]; ConvertToLibraryCharacterTableNC(chartbl_960_11312);