{"group ", "SmallGroup(216,88)", "also called ", "Sigma72x3", "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.3\n\n[3] Order 3 Length 1 \n Rep Gp.6^2\n\n[4] \ Order 3 Length 1 \n Rep Gp.6\n\n[5] Order 3 \ Length 24 \n Rep Gp.4\n\n[6] Order 4 Length 18 \n \ Rep Gp.1 * Gp.2 * Gp.3\n\n[7] Order 4 Length 18 \n \ Rep Gp.1\n\n[8] Order 4 Length 18 \n Rep Gp.2\n\n[9] \ Order 6 Length 9 \n Rep Gp.3 * Gp.6^2\n\n[10] Order 6 \ Length 9 \n Rep Gp.3 * Gp.6\n\n[11] Order 12 Length 18 \ \n Rep Gp.1 * Gp.2 * Gp.3 * Gp.6^2\n\n[12] Order 12 Length \ 18 \n Rep Gp.1 * Gp.6\n\n[13] Order 12 Length 18 \n \ Rep Gp.1 * Gp.6^2\n\n[14] Order 12 Length 18 \n Rep \ Gp.2 * Gp.6^2\n\n[15] Order 12 Length 18 \n Rep Gp.1 * \ Gp.2 * Gp.3 * Gp.6\n\n[16] Order 12 Length 18 \n Rep Gp.2 \ * Gp.6\n\n\n", "centralizerInfo ", "[\n GrpPC : Gp of order 216 = 2^3 * \ 3^3\n PC-Relations:\n Gp.1^2 = Gp.3, \n Gp.2^2 = Gp.3, \n \ Gp.3^2 = Id(Gp), \n Gp.4^3 = Id(Gp), \n Gp.5^3 = Id(Gp), \n \ Gp.6^3 = Id(Gp), \n Gp.2^Gp.1 = Gp.2 * Gp.3, \n \ Gp.4^Gp.1 = Gp.4 * Gp.5^2, \n Gp.4^Gp.2 = Gp.5, \n Gp.4^Gp.3 = \ Gp.4^2 * Gp.6, \n Gp.5^Gp.1 = Gp.4^2 * Gp.5^2 * Gp.6^2, \n \ Gp.5^Gp.2 = Gp.4^2 * Gp.6, \n Gp.5^Gp.3 = Gp.5^2 * Gp.6, \n \ Gp.5^Gp.4 = Gp.5 * Gp.6,\n\n GrpPC of order 24 = 2^3 * 3\n \ PC-Relations:\n $.1^2 = $.4, \n $.2^2 = $.4, \n $.3^3 = \ Id($), \n $.4^2 = Id($), \n $.2^$.1 = $.2 * $.4,\n\n GrpPC \ of order 216 = 2^3 * 3^3\n PC-Relations:\n $.1^2 = $.3, \n \ $.2^2 = $.3, \n $.3^2 = Id($), \n $.4^3 = Id($), \n \ $.5^3 = Id($), \n $.6^3 = Id($), \n $.2^$.1 = $.2 * $.3, \n \ $.4^$.1 = $.4^2 * $.5^2, \n $.4^$.2 = $.4 * $.5^2, \n \ $.4^$.3 = $.4^2 * $.6^2, \n $.5^$.1 = $.4^2 * $.5 * $.6^2, \n \ $.5^$.2 = $.4^2 * $.5^2 * $.6, \n $.5^$.3 = $.5^2 * $.6, \n \ $.5^$.4 = $.5 * $.6,\n\n GrpPC of order 216 = 2^3 * 3^3\n \ PC-Relations:\n $.1^2 = $.3, \n $.2^2 = $.3, \n $.3^2 = \ Id($), \n $.4^3 = Id($), \n $.5^3 = Id($), \n $.6^3 = \ Id($), \n $.2^$.1 = $.2 * $.3, \n $.4^$.1 = $.4^2 * $.5^2, \n \ $.4^$.2 = $.4 * $.5^2, \n $.4^$.3 = $.4^2 * $.6^2, \n \ $.5^$.1 = $.4^2 * $.5 * $.6^2, \n $.5^$.2 = $.4^2 * $.5^2 * $.6, \n \ $.5^$.3 = $.5^2 * $.6, \n $.5^$.4 = $.5 * $.6,\n\n GrpPC of \ order 9 = 3^2\n PC-Relations:\n $.1^3 = Id($), \n $.2^3 = \ Id($),\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 \ 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 24 = 2^3 * 3\n PC-Relations:\n $.1^2 \ = $.4, \n $.2^2 = $.4, \n $.3^3 = Id($), \n $.4^2 = \ Id($), \n $.2^$.1 = $.2 * $.4,\n\n GrpPC of order 24 = 2^3 * 3\n \ PC-Relations:\n $.1^2 = $.4, \n $.2^2 = $.4, \n $.3^3 = \ Id($), \n $.4^2 = Id($), \n $.2^$.1 = $.2 * $.4,\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 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 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", "card[group] ", 216, "\[Lambda]max ", 210, "centralgrading[group] ", {16, 15, 16, 16, 9, 12, 12, 12, 15, 15, 12, 12, 12, 12, 12, 12}, "qdimlist ", {1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8, 24, 24, 24, 24, 24, 24, 24, 24, 24, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18}, "dimA ", 46656, "horizontalDimensions ", {210, 210, 210, 210, 384, 573, 573, 573, 573, 573, 573, 573, 573, 1158, 1158, 1533, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 3048, 3048, 3048, 210, 210, 210, 210, 384, 573, 573, 573, 573, 573, 573, 573, 573, 1158, 1158, 1533, 210, 210, 210, 210, 384, 573, 573, 573, 573, 573, 573, 573, 573, 1158, 1158, 1533, 4053, 4053, 4053, 4053, 4053, 4053, 4053, 4053, 4053, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 3048, 3048, 3048, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 3048, 3048, 3048, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000, 3000}, "dimB ", 1310357196, "smallrank ", 16, "smalldim ", {1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8}}