{"group ", "SmallGroup(648,531)", "also called ", "FakeSigma216x3", "conjclasInfo ", "Conjugacy Classes of group \ Gp\n-----------------------------\n[1] Order 1 Length 1 \n \ Rep Id(Gp)\n\n[2] Order 2 Length 9 \n Rep \ Gp.4\n\n[3] Order 3 Length 1 \n Rep Gp.7^2\n\n[4] \ Order 3 Length 1 \n Rep Gp.7\n\n[5] Order 3 \ Length 24 \n Rep Gp.5\n\n[6] Order 4 Length 54 \n \ Rep Gp.2\n\n[7] Order 6 Length 9 \n Rep Gp.4 * \ Gp.7^2\n\n[8] Order 6 Length 9 \n Rep Gp.4 * \ Gp.7\n\n[9] Order 9 Length 12 \n Rep Gp.1 * \ Gp.7^2\n\n[10] Order 9 Length 12 \n Rep Gp.1 * \ Gp.7\n\n[11] Order 9 Length 12 \n Rep Gp.1\n\n[12] \ Order 9 Length 12 \n Rep Gp.1^2\n\n[13] Order 9 \ Length 12 \n Rep Gp.1^2 * Gp.7\n\n[14] Order 9 Length 12 \ \n Rep Gp.1^2 * Gp.7^2\n\n[15] Order 9 Length 72 \n \ Rep Gp.1^2 * Gp.5 * Gp.7\n\n[16] Order 9 Length 72 \n \ Rep Gp.1 * Gp.5^2 * Gp.6^2 * Gp.7\n\n[17] Order 12 Length 54 \n \ Rep Gp.2 * Gp.7\n\n[18] Order 12 Length 54 \n Rep \ Gp.2 * Gp.7^2\n\n[19] Order 18 Length 36 \n Rep Gp.1 * \ Gp.4\n\n[20] Order 18 Length 36 \n Rep Gp.1 * Gp.4 * \ Gp.7\n\n[21] Order 18 Length 36 \n Rep Gp.1 * Gp.4 * \ Gp.7^2\n\n[22] Order 18 Length 36 \n Rep Gp.1^2 * \ Gp.4\n\n[23] Order 18 Length 36 \n Rep Gp.1^2 * Gp.4 * \ Gp.7\n\n[24] Order 18 Length 36 \n Rep Gp.1^2 * Gp.4 * \ Gp.7^2\n\n\n", "centralizerInfo ", "[\n GrpPC : Gp of order 648 = 2^3 * \ 3^4\n PC-Relations:\n Gp.1^3 = Gp.7^2, \n Gp.2^2 = Gp.4, \n \ Gp.3^2 = Gp.4, \n Gp.4^2 = Id(Gp), \n Gp.5^3 = Id(Gp), \n \ Gp.6^3 = Id(Gp), \n Gp.7^3 = Id(Gp), \n Gp.2^Gp.1 = \ Gp.3, \n Gp.3^Gp.1 = Gp.2 * Gp.3 * Gp.4, \n Gp.3^Gp.2 = Gp.3 * \ Gp.4, \n Gp.5^Gp.1 = Gp.6 * Gp.7^2, \n Gp.5^Gp.2 = Gp.5 * Gp.6, \ \n Gp.5^Gp.3 = Gp.6 * Gp.7^2, \n Gp.5^Gp.4 = Gp.5^2 * Gp.7^2, \ \n Gp.6^Gp.1 = Gp.5^2 * Gp.6^2 * Gp.7, \n Gp.6^Gp.2 = Gp.5 * \ Gp.6^2 * Gp.7, \n Gp.6^Gp.3 = Gp.5^2, \n Gp.6^Gp.4 = Gp.6^2 * \ Gp.7, \n Gp.6^Gp.5 = Gp.6 * Gp.7,\n\n GrpPC of order 72 = 2^3 * \ 3^2\n PC-Relations:\n $.1^3 = $.2^2, \n $.2^3 = Id($), \n \ $.3^2 = $.5, \n $.4^2 = $.5, \n $.5^2 = Id($), \n \ $.3^$.1 = $.3 * $.4, \n $.4^$.1 = $.3, \n $.4^$.3 = $.4 * \ $.5,\n\n GrpPC of order 648 = 2^3 * 3^4\n PC-Relations:\n $.1^3 \ = $.7^2, \n $.2^2 = $.4, \n $.3^2 = $.4, \n $.4^2 = \ Id($), \n $.5^3 = Id($), \n $.6^3 = Id($), \n $.7^3 = \ Id($), \n $.2^$.1 = $.2 * $.3, \n $.3^$.1 = $.2, \n \ $.3^$.2 = $.3 * $.4, \n $.5^$.1 = $.6 * $.7^2, \n $.5^$.2 = $.5 \ * $.6^2, \n $.5^$.3 = $.6 * $.7^2, \n $.5^$.4 = $.5^2 * $.7^2, \ \n $.6^$.1 = $.5^2 * $.6^2 * $.7, \n $.6^$.2 = $.5^2 * $.6^2 * \ $.7, \n $.6^$.3 = $.5^2, \n $.6^$.4 = $.6^2 * $.7, \n \ $.6^$.5 = $.6 * $.7,\n\n GrpPC of order 648 = 2^3 * 3^4\n \ PC-Relations:\n $.1^3 = $.7^2, \n $.2^2 = $.4, \n $.3^2 \ = $.4, \n $.4^2 = Id($), \n $.5^3 = Id($), \n $.6^3 = \ Id($), \n $.7^3 = Id($), \n $.2^$.1 = $.2 * $.3, \n \ $.3^$.1 = $.2, \n $.3^$.2 = $.3 * $.4, \n $.5^$.1 = $.6 * \ $.7^2, \n $.5^$.2 = $.5 * $.6^2, \n $.5^$.3 = $.6 * $.7^2, \n \ $.5^$.4 = $.5^2 * $.7^2, \n $.6^$.1 = $.5^2 * $.6^2 * $.7, \n \ $.6^$.2 = $.5^2 * $.6^2 * $.7, \n $.6^$.3 = $.5^2, \n \ $.6^$.4 = $.6^2 * $.7, \n $.6^$.5 = $.6 * $.7,\n\n GrpPC of order \ 27 = 3^3\n PC-Relations:\n $.1^3 = $.3^2,\n\n GrpPC of order 12 \ = 2^2 * 3\n PC-Relations:\n $.1^2 = $.3, \n $.2^3 = Id($), \ \n $.3^2 = Id($),\n\n GrpPC of order 72 = 2^3 * 3^2\n \ PC-Relations:\n $.1^3 = $.2^2, \n $.2^3 = Id($), \n \ $.3^2 = $.5, \n $.4^2 = $.5, \n $.5^2 = Id($), \n \ $.3^$.1 = $.3 * $.4, \n $.4^$.1 = $.3, \n $.4^$.3 = $.4 * \ $.5,\n\n GrpPC of order 72 = 2^3 * 3^2\n PC-Relations:\n $.1^3 = \ $.2^2, \n $.2^3 = Id($), \n $.3^2 = $.5, \n $.4^2 = $.5, \ \n $.5^2 = Id($), \n $.3^$.1 = $.3 * $.4, \n $.4^$.1 = \ $.3, \n $.4^$.3 = $.4 * $.5,\n\n GrpPC of order 54 = 2 * 3^3\n \ PC-Relations:\n $.1^2 = Id($), \n $.2^3 = $.3^2, \n \ $.3^3 = Id($), \n $.4^3 = Id($), \n $.4^$.1 = $.4^2,\n\n \ GrpPC of order 54 = 2 * 3^3\n PC-Relations:\n $.1^2 = Id($), \n \ $.2^3 = $.3^2, \n $.3^3 = Id($), \n $.4^3 = Id($), \n \ $.4^$.1 = $.4^2,\n\n GrpPC of order 54 = 2 * 3^3\n PC-Relations:\n \ $.1^2 = Id($), \n $.2^3 = $.3^2, \n $.3^3 = Id($), \n \ $.4^3 = Id($), \n $.4^$.1 = $.4^2,\n\n GrpPC of order 54 = 2 * \ 3^3\n PC-Relations:\n $.1^2 = Id($), \n $.2^3 = $.3^2, \n \ $.3^3 = Id($), \n $.4^3 = Id($), \n $.4^$.1 = $.4^2,\n\n \ GrpPC of order 54 = 2 * 3^3\n PC-Relations:\n $.1^2 = Id($), \n \ $.2^3 = $.3^2, \n $.3^3 = Id($), \n $.4^3 = Id($), \n \ $.4^$.1 = $.4^2,\n\n GrpPC of order 54 = 2 * 3^3\n PC-Relations:\n \ $.1^2 = Id($), \n $.2^3 = $.3^2, \n $.3^3 = Id($), \n \ $.4^3 = Id($), \n $.4^$.1 = $.4^2,\n\n GrpPC of order 9 = 3^2\n \ PC-Relations:\n $.1^3 = $.2,\n\n GrpPC of order 9 = 3^2\n \ PC-Relations:\n $.1^3 = $.2,\n\n GrpPC of order 12 = 2^2 * 3\n \ PC-Relations:\n $.1^2 = $.3, \n $.2^3 = Id($), \n $.3^2 \ = Id($),\n\n GrpPC of order 12 = 2^2 * 3\n PC-Relations:\n $.1^2 \ = $.3, \n $.2^3 = Id($), \n $.3^2 = Id($),\n\n GrpPC of \ order 18 = 2 * 3^2\n PC-Relations:\n $.1^2 = Id($), \n $.2^3 \ = $.3^2, \n $.3^3 = Id($),\n\n GrpPC of order 18 = 2 * 3^2\n \ PC-Relations:\n $.1^2 = Id($), \n $.2^3 = $.3^2, \n \ $.3^3 = Id($),\n\n GrpPC of order 18 = 2 * 3^2\n PC-Relations:\n \ $.1^2 = Id($), \n $.2^3 = $.3^2, \n $.3^3 = Id($),\n\n GrpPC \ of order 18 = 2 * 3^2\n PC-Relations:\n $.1^2 = Id($), \n \ $.2^3 = $.3^2, \n $.3^3 = Id($),\n\n GrpPC of order 18 = 2 * 3^2\n \ PC-Relations:\n $.1^2 = Id($), \n $.2^3 = $.3^2, \n \ $.3^3 = Id($),\n\n GrpPC of order 18 = 2 * 3^2\n PC-Relations:\n \ $.1^2 = Id($), \n $.2^3 = $.3^2, \n $.3^3 = Id($)\n]\n", "card[group] ", 648, "\[Lambda]max ", 486, "centralgrading[group] ", {24, 21, 24, 24, 27, 12, 21, 21, 27, 27, 27, 27, 27, 27, 9, 9, 12, 12, 18, 18, 18, 18, 18, 18}, "qdimlist ", {1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 18, 18, 18, 18, 18, 18, 27, 27, 27, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 8, 8, 8, 9, 9, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 8, 8, 8, 9, 9, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 18, 18, 18, 18, 18, 18, 27, 27, 27, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 18, 18, 18, 18, 18, 18, 27, 27, 27, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 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