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Project: cocalc-sagemath-dev-slelievre
Views: 418346############################################################################## ## #W cat1data.g GAP4 package `XMod' Chris Wensley #W & Murat Alp ## ## This file contains data on cat1-groups and crossed modules up to size 70 ## #Y Copyright (C) 2001-2016, Chris Wensley et al, #Y School of Computer Science, Bangor University, U.K. ############################################################################## ## ## Cat1-structures for iso-classes of gps of size <= CAT1_LIST_MAX_SIZE ## Info( InfoXMod, 1, "Loading cat1-group data into CAT1_LIST" ); CAT1_LIST := [ [1,1,"1",[[]],[ ]], [2,1,"C2",[[1,1]],[ ]], [3,1,"C3",[[1,1]],[ ]], [4,1,"C4",[[1,1]],[ ]], [4,2,"C2 x C2",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[1,1]], [[1,1],[]]]]], [5,1,"C5",[[1,1]],[ ]], [6,1,"S3",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [6,2,"C6",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [7,1,"C7",[[1,1]],[ ]], [8,1,"C8",[[1,1]],[ ]], [8,2,"C4 x C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[2,1],[2,1]], [[],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[3,1]]]]], [8,3,"D8",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[1,1]], [[1,1],[1,1]]]]], [8,4,"Q8",[[1,1],[2,1]],[ ]], [8,5,"C2 x C2 x C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[1,1],[1,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[1,1]]]]], [9,1,"C9",[[1,1]],[ ]], [9,2,"C3 x C3",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[1,1]]]]], [10,1,"D10",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [10,2,"C10",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [11,1,"C11",[[1,1]],[ ]], [12,1,"C3 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [12,2,"C12",[[1,1,2,1]],[ [[[2,1]], [[2,1]], [[2,1]]], [[[1,1]], [[1,1]], [[1,1]]]]], [12,3,"A4",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [12,4,"D12",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [12,5,"C6 x C2",[[2,1],[1,1,3,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[1,1],[1,1]], [[],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[1,1],[1,1,3,1]], [[],[1,1,3,1]]]]], [13,1,"C13",[[1,1]],[ ]], [14,1,"D14",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [14,2,"C14",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [15,1,"C15",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [16,1,"C16",[[1,1]],[ ]], [16,2,"C4 x C4",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[],[2,1]], [[2,1],[2,1]]], [[[2,1]], [[],[2,1]], [[4,1],[2,1]]]]], [16,3,"(C4 x C2) : C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[4,1]]]]], [16,4,"C4 : C4",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[4,1]]]]], [16,5,"C8 x C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[],[2,1]], [[2,1],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[4,1]]]]], [16,6,"C8 : C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]]]], [16,7,"D16",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[1,1]], [[1,1],[1,1]]]]], [16,8,"QD16",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [16,9,"Q16",[[1,1],[2,1]],[ ]], [16,10,"C4 x C2 x C2",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[],[2,1],[]], [[],[2,1],[2,1]]], [[[2,1]], [[],[2,1],[]], [[2,1],[2,1],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[4,1]], [[1,1],[],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[2,1],[2,1],[3,1]]], [[[2,1],[1,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[2,1],[1,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[2,1]]], [[[2,1],[1,1]], [[1,1],[2,1],[4,1]], [[1,1],[2,1],[]]]]], [16,11,"C2 x D8",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[1,1],[]], [[1,1],[1,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[3,1],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[1,1],[3,1]], [[1,1],[1,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[1,1],[3,1]], [[1,1],[1,1,3,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[4,1]]]]], [16,12,"C2 x Q8",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[4,1]], [[1,1],[2,1],[]]]]], [16,13,"(C4 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]]]], [16,14,"C2 x C2 x C2 x C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[1,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[1,1],[2,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[1,1]]]]], [17,1,"C17",[[1,1]],[ ]], [18,1,"D18",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [18,2,"C18",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [18,3,"C3 x S3",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [18,4,"(C3 x C3) : C2",[[1,1],[2,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[3,2],[]]]]], [18,5,"C6 x C3",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[3,1]], [[3,1],[]], [[3,1],[]]], [[[3,1]], [[3,1],[]], [[3,1],[3,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[2,1],[1,1,2,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]]]], [19,1,"C19",[[1,1]],[ ]], [20,1,"C5 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [20,2,"C20",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [20,3,"C5 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [20,4,"D20",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [20,5,"C10 x C2",[[2,1],[1,1,3,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[1,1],[1,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], [21,1,"C7 : C3",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [21,2,"C21",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [22,1,"D22",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [22,2,"C22",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [23,1,"C23",[[1,1]],[ ]], [24,1,"C3 : C8",[[1,1],[4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [24,2,"C24",[[1,1,2,1]],[ [[[2,1]], [[2,1]], [[2,1]]], [[[1,1]], [[1,1]], [[1,1]]]]], [24,3,"SL(2,3)",[[1,1],[2,1]],[ ]], [24,4,"C3 : Q8",[[1,1],[2,1,4,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [24,5,"C4 x S3",[[1,1],[2,1,4,1]],[ [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[]]], [[[4,1],[1,1,3,1]], [[1,1,3,1],[4,1]], [[1,1,3,1],[4,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [24,6,"D24",[[1,1],[2,1,4,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[4,1],[1,1,2,1]], [[1,1,2,1],[4,1]], [[1,1,2,1],[4,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [24,7,"C2 x (C3 : C4)",[[1,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[3,1,4,1]]]]], [24,8,"(C6 x C2) : C2",[[1,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [24,9,"C12 x C2",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[4,1],[1,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[3,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[2,1,3,1]]], [[[2,1],[1,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[4,1],[1,1,3,1]]]]], [24,10,"C3 x D8",[[2,1],[1,1,3,1]],[ [[[1,1]], [[1,1],[1,1]], [[1,1],[1,1]]], [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1,3,1]], [[1,1],[1,1,3,1]], [[1,1],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [24,11,"C3 x Q8",[[2,1],[1,1,3,1]],[ [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [24,12,"S4",[[2,1],[1,1,3,1]],[ [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [24,13,"C2 x A4",[[3,1],[1,1,2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]]]], [24,14,"C2 x C2 x S3",[[1,1],[3,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[]], [[1,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[]], [[1,1],[3,1],[3,1]]], [[[1,1],[4,1]], [[1,1],[],[4,1]], [[1,1],[],[4,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1],[4,1]], [[1,1],[3,1],[4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1],[3,1,4,1]], [[1,1],[3,1],[4,1]]]]], [24,15,"C6 x C2 x C2",[[2,1],[3,1],[1,1,4,1]],[ [[[2,1]], [[2,1],[],[]], [[2,1],[],[]]], [[[2,1]], [[2,1],[],[]], [[2,1],[2,1],[]]], [[[4,1]], [[],[],[4,1]], [[],[],[4,1]]], [[[1,1],[3,1]], [[],[3,1],[1,1]], [[],[3,1],[1,1]]], [[[1,1],[3,1]], [[],[3,1],[1,1]], [[3,1],[3,1],[1,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[],[],[1,1,4,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[],[1,1],[1,1,4,1]]], [[[1,1],[2,1],[3,1]], [[2,1],[3,1],[1,1]], [[2,1],[3,1],[1,1]]], [[[3,1],[1,1,4,1]], [[],[3,1],[1,1,4,1]], [[],[3,1],[1,1,4,1]]], [[[3,1],[1,1,4,1]], [[],[3,1],[1,1,4,1]], [[3,1],[3,1],[1,1,4,1]]]]], [25,1,"C25",[[1,1]],[ ]], [25,2,"C5 x C5",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[1,1]]]]], [26,1,"D26",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [26,2,"C26",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [27,1,"C27",[[1,1]],[ ]], [27,2,"C9 x C3",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[],[2,1]], [[2,1],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[3,1]]]]], [27,3,"(C3 x C3) : C3",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [27,4,"C9 : C3",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]]]], [27,5,"C3 x C3 x C3",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[1,1]]]]], [28,1,"C7 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [28,2,"C28",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [28,3,"D28",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [28,4,"C14 x C2",[[2,1],[1,1,3,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[1,1],[1,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], [29,1,"C29",[[1,1]],[ ]], [30,1,"C5 x S3",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [30,2,"C3 x D10",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]]]], [30,3,"D30",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [30,4,"C30",[[1,1,2,1,3,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]], [[[3,1]], [[3,1]], [[3,1]]], [[[1,1,2,1]], [[1,1,2,1]], [[1,1,2,1]]], [[[1,1,3,1]], [[1,1,3,1]], [[1,1,3,1]]], [[[2,1,3,1]], [[2,1,3,1]], [[2,1,3,1]]]]], [31,1,"C31",[[1,1]],[ ]], [32,1,"C32",[[1,1]],[ ]], [32,2,"(C4 x C2) : C4",[[1,1],[2,1]],[ [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1,3,1,4,1,5,1],[3,1,4,1,5,1]]]]], [32,3,"C8 x C4",[[1,1],[2,1]],[ [[[2,1,3,1]], [[],[2,1,3,1]], [[],[2,1,3,1]]], [[[2,1,3,1]], [[],[2,1,3,1]], [[2,1,3,1,4,1,5,1],[2,1,3,1,4,1,5,1]]], [[[2,1,3,1]], [[],[2,1,3,1]], [[4,1,5,1],[2,1,3,1]]], [[[1,1,3,1,4,1]], [[1,1,4,1],[]], [[1,1,4,1],[]]], [[[1,1,3,1,4,1]], [[1,1,4,1],[]], [[1,1,4,1,5,1],[3,1]]], [[[1,1,3,1,4,1]], [[1,1,4,1],[]], [[1,1,4,1],[5,1]]]]], [32,4,"C8 : C4",[[1,1],[2,1]],[ [[[2,1,3,1]], [[],[2,1,3,1]], [[],[2,1,3,1]]], [[[2,1,3,1]], [[],[2,1,3,1]], [[4,1,5,1],[2,1,3,1]]]]], [32,5,"(C8 x C2) : C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[5,1]]]]], [32,6,"((C4 x C2) : C2) : C2",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [32,7,"(C8 : C2) : C2",[[1,1],[2,1]],[ ]], [32,8,"C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)",[[1,1],[2,1]],[ ]], [32,9,"(C8 x C2) : C2",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [32,10,"Q8 : C4",[[1,1],[2,1]],[ ]], [32,11,"(C4 x C4) : C2",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [32,12,"C4 : C8",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[5,1]], [[1,1],[]]]]], [32,13,"C8 : C4",[[1,1],[2,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1,4,1,5,1],[4,1,5,1]]]]], [32,14,"C8 : C4",[[1,1],[2,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[1,1,2,1,4,1]], [[1,1,2,1,4,1],[4,1]], [[1,1,2,1],[]]]]], [32,15,"C4 . D8 = C4 . (C4 x C2)",[[1,1],[2,1]],[ ]], [32,16,"C16 x C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[],[2,1]], [[2,1],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[5,1]]]]], [32,17,"C16 : C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]]]], [32,18,"D32",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[1,1]], [[1,1],[1,1]]]]], [32,19,"QD32",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [32,20,"Q32",[[1,1],[2,1]],[ ]], [32,21,"C4 x C4 x C2",[[1,1],[2,1],[3,1]],[ [[[3,1]], [[],[],[3,1]], [[],[],[3,1]]], [[[3,1]], [[],[],[3,1]], [[3,1],[],[3,1]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[4,1]]], [[[1,1]], [[1,1],[],[]], [[1,1],[1,1],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[4,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[1,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[4,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[4,1]]]]], [32,22,"C2 x ((C4 x C2) : C2)",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[4,1,5,1]]], [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1,4,1,5,1],[4,1,5,1],[]]], [[[2,1],[3,1,4,1]], [[],[2,1],[3,1,4,1]], [[],[2,1],[3,1,4,1]]], [[[2,1],[3,1,4,1]], [[3,1,4,1],[2,1],[3,1,4,1]], [[],[2,1],[3,1,4,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1,3,1,4,1,5,1],[3,1,4,1,5,1],[3,1]]], [[[3,1],[1,1,2,1,3,1]], [[1,1,2,1,3,1],[3,1],[3,1]], [[1,1,2,1,3,1,4,1,5,1],[3,1,4,1,5,1],[3,1]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1],[]]], [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[5,1]], [[1,1],[2,1,3,1,4,1,5,1],[4,1,5,1]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1,4,1,5,1],[4,1,5,1]]]]], [32,23,"C2 x (C4 : C4)",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[5,1]], [[1,1],[],[]]], [[[1,1]], [[1,1],[5,1],[]], [[1,1],[],[]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[],[3,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[5,1],[3,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1,4,1],[3,1,4,1]], [[1,1],[5,1],[3,1,4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,4,1]], [[1,1,3,1,4,1],[2,1],[4,1]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,5,1]], [[1,1,3,1,5,1],[2,1],[5,1]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,5,1]], [[1,1,3,1,5,1],[2,1],[5,1]], [[1,1,3,1,4,1],[2,1],[4,1]]]]], [32,24,"(C4 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[5,1],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[5,1]]], [[[1,1]], [[1,1],[],[]], [[1,1],[5,1],[5,1]]]]], [32,25,"C4 x D8",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[2,1],[2,1],[]], [[2,1],[2,1],[]]], [[[2,1,5,1],[1,1,3,1,5,1]], [[1,1,3,1,5,1],[2,1,5,1],[]], [[1,1,3,1,5,1],[2,1,5,1],[]]], [[[2,1,5,1],[1,1,3,1,5,1]], [[1,1,3,1,5,1],[2,1,5,1],[]], [[1,1,3,1,4,1,5,1],[2,1,5,1],[4,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[5,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[1,1,3,1],[3,1]], [[1,1],[1,1,3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[1,1,3,1],[3,1]], [[1,1],[1,1,3,1,5,1],[3,1]]]]], [32,26,"C4 x Q8",[[1,1],[2,1],[3,1]],[ [[[2,1],[1,1,3,1,5,1]], [[1,1,3,1,5,1],[2,1],[4,1]], [[1,1,3,1,5,1],[2,1],[4,1]]], [[[2,1],[1,1,3,1,4,1,5,1]], [[1,1,3,1,4,1,5,1],[2,1],[]], [[1,1,3,1,5,1],[2,1],[4,1]]]]], [32,27,"(C2 x C2 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[1,1],[2,1,3,1,4,1]], [[1,1],[],[2,1,3,1,4,1]], [[1,1],[],[2,1,3,1,4,1]]], [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[]], [[1,1],[2,1,3,1,4,1],[4,1,5,1]]], [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[]], [[1,1],[],[2,1,3,1,4,1]]]]], [32,28,"(C4 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1,5,1]], [[1,1,2,1,5,1],[5,1],[3,1]], [[1,1,2,1],[],[3,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[4,1]], [[1,1],[2,1,5,1],[]]]]], [32,29,"(C2 x Q8) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[4,1]]]]], [32,30,"(C4 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]]]], [32,31,"(C4 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]]]], [32,32,"(C2 x C2) . (C2 x C2 x C2)",[[1,1],[2,1],[3,1]],[ ]], [32,33,"(C4 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]]]], [32,34,"(C4 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1,3,1]], [[1,1,2,1,3,1],[],[]], [[1,1,2,1,3,1],[],[]]], [[[1,1,3,1],[2,1,5,1]], [[1,1,3,1],[2,1,5,1],[]], [[1,1,3,1],[2,1,5,1],[]]], [[[1,1,3,1],[2,1,5,1]], [[1,1,3,1],[2,1,5,1],[]], [[1,1,3,1,4,1],[2,1,5,1],[4,1]]], [[[1,1,3,1],[2,1,5,1]], [[1,1,3,1],[2,1,5,1],[]], [[1,1,2,1,3,1,5,1],[2,1,4,1,5,1],[2,1,4,1,5,1]]]]], [32,35,"C4 : Q8",[[1,1],[2,1],[3,1]],[ [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,2,1,3,1,4,1],[2,1],[2,1]]], [[[2,1],[1,1,3,1,4,1]], [[1,1,3,1,4,1],[2,1],[4,1]], [[1,1,3,1],[2,1],[]]]]], [32,36,"C8 x C2 x C2",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[],[2,1],[]], [[],[2,1],[2,1]]], [[[2,1]], [[],[2,1],[]], [[2,1],[2,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[2,1],[2,1],[3,1]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[5,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[5,1]]]]], [32,37,"C2 x (C8 : C2)",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1],[]]], [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[5,1]], [[1,1],[2,1,3,1],[]]]]], [32,38,"(C8 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]]]], [32,39,"C2 x D16",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[2,1],[2,1],[]], [[2,1],[2,1],[]]], [[[2,1],[3,1,5,1]], [[2,1],[2,1],[3,1,5,1]], [[2,1],[2,1],[3,1,5,1]]], [[[2,1],[3,1,5,1]], [[2,1,3,1,5,1],[2,1],[3,1,5,1]], [[2,1],[2,1],[3,1,5,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[5,1]], [[1,1],[2,1],[]]]]], [32,40,"C2 x QD16",[[1,1],[2,1],[3,1]],[ [[[2,1,3,1]], [[2,1,3,1],[2,1,3,1],[]], [[2,1,3,1],[2,1,3,1],[]]], [[[2,1],[3,1,5,1]], [[2,1],[2,1],[3,1,5,1]], [[2,1],[2,1],[3,1,5,1]]], [[[2,1],[3,1,5,1]], [[2,1,3,1,5,1],[2,1],[3,1,5,1]], [[2,1],[2,1],[3,1,5,1]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1],[]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1,5,1],[5,1]]]]], [32,41,"C2 x Q16",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[5,1]]]]], [32,42,"(C8 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[2,1],[2,1],[]], [[2,1],[2,1],[]]]]], [32,43,"(C2 x D8) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1]], [[2,1],[2,1],[3,1]], [[2,1],[2,1],[3,1]]]]], [32,44,"(C2 x Q8) : C2",[[1,1],[2,1],[3,1]],[ ]], [32,45,"C4 x C2 x C2 x C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[],[]]], [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[2,1],[]]], [[[2,1]], [[],[2,1],[],[]], [[2,1],[2,1],[],[]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[5,1],[],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[2,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[],[2,1],[3,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[2,1],[2,1],[3,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[5,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[2,1],[5,1]]], [[[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1]]], [[[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1]], [[2,1],[2,1],[3,1],[4,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[3,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[5,1]]]]], [32,46,"C2 x C2 x D8", ## redone 17/09/13 [[1,1],[2,1],[3,1],[4,1]],[ [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1]], [[1,1],[1,1],[],[]], [[1,1],[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[3,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[1,1],[3,1],[]], [[1,1],[1,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[1,1],[3,1],[]], [[1,1],[1,1,3,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[1,1],[3,1],[]], [[1,1],[1,1],[3,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[5,1],[]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1]], [[1,1],[],[3,1],[4,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1]], [[1,1],[3,1],[3,1],[4,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[1,1],[3,1],[4,1]], [[1,1],[1,1],[3,1],[4,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[1,1],[3,1],[4,1]], [[1,1],[1,1,4,1],[3,1],[4,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[3,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[5,1]]]]], [32,47,"C2 x C2 x Q8",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[5,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[5,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[3,1]]]]], [32,48,"C2 x ((C4 x C2) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,2,1,3,1]], [[],[1,1,2,1,3,1],[],[]], [[],[1,1,2,1,3,1],[],[]]], [[[1,1],[4,1,5,1]], [[1,1],[],[],[4,1,5,1]], [[1,1],[],[],[4,1,5,1]]], [[[1,1],[4,1,5,1]], [[1,1],[],[],[4,1,5,1]], [[1,1],[],[4,1,5,1],[4,1,5,1]]], [[[1,1],[4,1,5,1]], [[1,1],[4,1,5,1],[],[4,1,5,1]], [[1,1],[],[4,1,5,1],[4,1,5,1]]], [[[1,1],[4,1,5,1]], [[1,1],[],[],[4,1,5,1]], [[1,1],[4,1,5,1],[],[4,1,5,1]]], [[[2,1],[1,1,4,1],[3,1,4,1]], [[1,1,4,1],[2,1],[3,1,4,1],[]], [[1,1,4,1],[2,1],[3,1,4,1],[]]], [[[2,1],[1,1,4,1],[3,1,4,1]], [[1,1,4,1],[2,1],[3,1,4,1],[]], [[1,1,4,1,5,1],[2,1],[3,1,4,1,5,1],[5,1]]]]], [32,49,"(C2 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[]], [[1,1,3,1],[2,1],[],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[1,1,3,1]], [[1,1,3,1],[2,1],[],[1,1,3,1]]], [[[2,1],[1,1,3,1]], [[],[2,1],[1,1,3,1],[]], [[1,1,3,1],[2,1],[],[2,1]]], [[[2,1],[1,1,3,1]], [[2,1],[2,1],[1,1,2,1,3,1,5,1],[1,1,3,1]], [[1,1,2,1,3,1,5,1],[2,1],[2,1], [1,1,2,1,3,1,5,1]]]]], [32,50,"(C2 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [32,51,"C2 x C2 x C2 x C2 x C2",[[1,1],[2,1],[3,1],[4,1],[5,1]],[ [[[1,1]], [[1,1],[],[],[],[]], [[1,1],[],[],[],[]]], [[[1,1]], [[1,1],[],[],[],[]], [[1,1],[1,1],[],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[1,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[1,1],[2,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[1,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[1,1],[2,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[1,1]]]]], [33,1,"C33",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [34,1,"D34",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [34,2,"C34",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [35,1,"C35",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [36,1,"C9 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [36,2,"C36",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [36,3,"(C2 x C2) : C9",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [36,4,"D36",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [36,5,"C18 x C2",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], [36,6,"C3 x (C3 : C4)",[[4,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[4,1]], [[4,1],[1,1]], [[4,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [36,7,"(C3 x C3) : C4",[[1,1],[3,1],[3,1,4,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[4,1]], [[1,1],[],[4,1]], [[1,1],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[4,1]], [[1,1],[4,2],[]]]]], [36,8,"C12 x C3",[[3,1],[1,1,2,1]],[ [[[3,1]], [[3,1],[]], [[3,1],[]]], [[[3,1]], [[3,1],[]], [[3,1],[3,1]]], [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[2,1],[1,1,2,1]]]]], [36,9,"(C3 x C3) : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [36,10,"S3 x S3",[[1,1,3,1],[2,1,4,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1,2,1],[3,1,4,1]], [[3,1,4,1],[1,1,2,1]], [[1,1,2,1],[3,1,4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]]]]], [36,11,"C3 x A4",[[1,1],[2,1,3,1]],[ [[[1,1,2,2]], [[1,1,2,2],[]], [[1,1,2,2],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[3,1]], [[1,1,2,1],[3,1]]]]], [36,12,"C6 x S3",[[1,1,3,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[]]], [[[4,1],[1,1,2,1]], [[1,1,2,1],[4,1]], [[1,1,2,1],[4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]]], [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]]], [[[4,1],[1,1,2,1,3,1]], [[1,1,2,1,3,1],[4,1]], [[1,1,2,1,3,1],[4,1]]]]], [36,13,"C2 x ((C3 x C3) : C2)",[[1,1],[3,2],[2,1,3,1,4,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[2,1]], [[1,1],[],[2,1]], [[1,1],[],[2,1]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[],[3,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,2,4,2],[3,1,4,1]], [[1,1],[],[3,1,4,1]]], [[[1,1],[2,1,4,1]], [[1,1],[],[2,1,4,1]], [[1,1],[],[2,1,4,1]]], [[[1,1],[2,1,4,1]], [[1,1],[4,2],[2,1,4,2]], [[1,1],[],[2,1,4,1]]], [[[1,1],[3,1],[3,1,4,1]], [[1,1],[3,2],[3,1,4,1]], [[1,1],[3,2],[3,1,4,1]]]]], [36,14,"C6 x C6",[[1,1,3,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[1,1]]], [[[3,1]], [[3,1],[]], [[3,1],[]]], [[[3,1]], [[3,1],[]], [[3,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[]]], [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[1,1]]], [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[3,1]]], [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[1,1,3,1]]], [[[3,1],[4,1]], [[3,1],[4,1]], [[3,1],[4,1]]], [[[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]]], [[[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]], [[1,1,3,1],[2,1,3,1]]], [[[1,1,3,1],[4,1]], [[1,1,3,1],[4,1]], [[1,1,3,1],[4,1]]], [[[1,1,3,1],[4,1]], [[1,1,3,1],[4,1]], [[1,1,3,1],[1,1,4,1]]]]], [37,1,"C37",[[1,1]],[ ]], [38,1,"D38",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [38,2,"C38",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [39,1,"C13 : C3",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [39,2,"C39",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [40,1,"C5 : C8",[[1,1],[4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [40,2,"C40",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [40,3,"C5 : C8",[[1,1],[4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [40,4,"C5 : Q8",[[1,1],[2,1,4,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [40,5,"C4 x D10",[[1,1],[2,1,4,1]],[ [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[4,1],[1,1,3,1]], [[1,1,3,1],[4,1]], [[1,1,3,1],[4,1]]]]], [40,6,"D40",[[1,1],[2,1,4,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[4,1],[1,1,2,1]], [[1,1,2,1],[4,1]], [[1,1,2,1],[4,1]]]]], [40,7,"C2 x (C5 : C4)",[[1,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[3,1]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[3,1,4,1]]]]], [40,8,"(C10 x C2) : C2",[[1,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]]]], [40,9,"C20 x C2",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[4,1],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[3,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[2,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[4,1],[1,1,3,1]]]]], [40,10,"C5 x D8",[[2,1],[1,1,3,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[1,1],[1,1]], [[1,1],[1,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[1,1,3,1]], [[1,1],[1,1,3,1]], [[1,1],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]]]], [40,11,"C5 x Q8",[[2,1],[1,1,3,1]],[ [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [40,12,"C2 x (C5 : C4)",[[1,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]]]], [40,13,"C2 x C2 x D10",[[1,1],[3,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[]], [[1,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[3,1]], [[1,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[],[4,1]], [[1,1],[],[4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1],[4,1]], [[1,1],[3,1],[4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1],[4,1]], [[1,1],[3,1],[3,1,4,1]]]]], [40,14,"C10 x C2 x C2",[[2,1],[3,1],[1,1,4,1]],[ [[[2,1]], [[2,1],[],[]], [[2,1],[],[]]], [[[2,1]], [[2,1],[],[]], [[2,1],[2,1],[]]], [[[2,1],[3,1]], [[2,1],[3,1],[]], [[2,1],[3,1],[]]], [[[2,1],[3,1]], [[2,1],[3,1],[]], [[2,1],[3,1],[3,1]]], [[[4,1]], [[],[],[4,1]], [[],[],[4,1]]], [[[1,1],[2,1],[3,1]], [[2,1],[3,1],[1,1]], [[2,1],[3,1],[1,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[],[],[1,1,4,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[1,1],[],[1,1,4,1]]], [[[2,1],[1,1,4,1]], [[2,1],[],[1,1,4,1]], [[2,1],[],[1,1,4,1]]], [[[2,1],[1,1,4,1]], [[2,1],[],[1,1,4,1]], [[2,1],[2,1],[1,1,4,1]]]]], [41,1,"C41",[[1,1]],[ ]], [42,1,"(C7 : C3) : C2",[[3,1],[1,1,2,1]],[ [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [42,2,"C2 x (C7 : C3)",[[3,1],[1,1,2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]]]], [42,3,"C7 x S3",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [42,4,"C3 x D14",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]]]], [42,5,"D42",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [42,6,"C42",[[1,1,2,1,3,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]], [[[1,1,2,1]], [[1,1,2,1]], [[1,1,2,1]]], [[[3,1]], [[3,1]], [[3,1]]], [[[1,1,3,1]], [[1,1,3,1]], [[1,1,3,1]]], [[[2,1,3,1]], [[2,1,3,1]], [[2,1,3,1]]]]], [43,1,"C43",[[1,1]],[ ]], [44,1,"C11 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [44,2,"C44",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [44,3,"D44",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [44,4,"C22 x C2",[[2,1],[1,1,3,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[1,1],[1,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], [45,1,"C45",[[1,1,2,1]],[ [[[2,1]], [[2,1]], [[2,1]]], [[[1,1]], [[1,1]], [[1,1]]]]], [45,2,"C15 x C3",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], [46,1,"D46",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [46,2,"C46",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [47,1,"C47",[[1,1]],[ ]], [48,1,"C3 : C16",[[1,1],[5,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [48,2,"C48",[[1,1,2,1]],[ [[[2,1]], [[2,1]], [[2,1]]], [[[1,1]], [[1,1]], [[1,1]]]]], [48,3,"(C4 x C4) : C3",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [48,4,"C8 x S3",[[1,1],[2,1,5,1]],[ [[[1,1,4,1]], [[1,1,4,1],[]], [[1,1,4,1],[]]], [[[5,1],[1,1,4,1]], [[1,1,4,1],[5,1]], [[1,1,4,1],[5,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,5,"C24 : C2",[[1,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[5,1]], [[1,1],[5,1]], [[1,1],[5,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,6,"C24 : C2",[[1,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[5,1]], [[1,1],[5,1]], [[1,1],[5,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,7,"D48",[[1,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[5,1]], [[1,1],[5,1]], [[1,1],[5,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,8,"C3 : Q16",[[1,1],[2,1,5,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,9,"C2 x (C3 : C8)",[[1,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[4,1]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[5,1]], [[1,1],[5,1]], [[1,1],[5,1]]], [[[1,1],[5,1]], [[1,1],[4,1,5,1]], [[1,1],[5,1]]]]], [48,10,"(C3 : C8) : C2",[[1,1],[2,1,5,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,11,"C4 x (C3 : C4)",[[1,1],[2,1,5,1]],[ [[[1,1,4,1]], [[1,1,4,1],[]], [[1,1,4,1],[]]], [[[1,1,4,1]], [[1,1,4,1],[3,1]], [[1,1,4,1],[]]], [[[5,1],[1,1,4,1]], [[1,1,4,1],[5,1]], [[1,1,4,1],[5,1]]], [[[5,1],[1,1,4,1]], [[1,1,4,1],[5,1]], [[1,1,4,1],[3,1,5,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,12,"(C3 : C4) : C4",[[1,1],[2,1,5,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,13,"C12 : C4",[[1,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[3,1]], [[1,1],[]]], [[[1,1],[5,1]], [[1,1],[5,1]], [[1,1],[5,1]]], [[[1,1],[5,1]], [[1,1],[5,1]], [[1,1],[3,1,5,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,14,"(C12 x C2) : C2",[[1,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[5,1]], [[1,1],[5,1]], [[1,1],[5,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,15,"(C3 x D8) : C2",[[1,1],[2,1,5,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,16,"(C3 : C8) : C2",[[1,1],[2,1,5,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,17,"(C3 x Q8) : C2",[[1,1],[2,1,5,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,18,"C3 : Q16",[[1,1],[2,1,5,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,19,"(C2 x (C3 : C4)) : C2",[[1,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[3,1]], [[1,1],[]]], [[[1,1],[5,1]], [[1,1],[5,1]], [[1,1],[5,1]]], [[[1,1],[5,1]], [[1,1],[3,1,5,1]], [[1,1],[5,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [48,20,"C12 x C4",[[2,1],[1,1,3,1]],[ [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[5,1]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[4,1],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [48,21,"C3 x ((C4 x C2) : C2)",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[5,1],[1,1]]], [[[2,1,3,1,5,1]], [[2,1,5,1],[3,1]], [[2,1,5,1],[3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[5,1],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [48,22,"C3 x (C4 : C4)",[[2,1],[1,1,3,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[5,1],[1,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[5,1],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [48,23,"C24 x C2",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[3,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[2,1,3,1]]], [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[5,1],[1,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[5,1],[1,1,3,1]]]]], [48,24,"C3 x (C8 : C2)",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [48,25,"C3 x D16",[[2,1],[1,1,3,1]],[ [[[1,1]], [[1,1],[1,1]], [[1,1],[1,1]]], [[[2,1,3,1]], [[2,1],[2,1,3,1]], [[2,1],[2,1,3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [48,26,"C3 x QD16",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]], [[[2,1,3,1]], [[2,1],[2,1,3,1]], [[2,1],[2,1,3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [48,27,"C3 x Q16",[[2,1],[1,1,3,1]],[ [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [48,28,"C2 . S4 = SL(2,3) . C2",[[2,1],[1,1,3,1]],[ ]], [48,29,"GL(2,3)",[[2,1],[1,1,3,1]],[ ]], [48,30,"A4 : C4",[[3,1],[1,1,4,1]],[ [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]]]], [48,31,"C4 x A4",[[4,1],[1,1,2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1],[4,1]], [[4,1],[2,1]], [[4,1],[2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [48,32,"C2 x SL(2,3)",[[3,1],[1,1,2,1]],[ [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1,5,1]]]]], [48,33,"SL(2,3) : C2",[[3,1],[1,1,2,1]],[ ]], [48,34,"C2 x (C3 : Q8)",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1],[3,1]], [[1,1],[3,1],[]], [[1,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[4,1]], [[1,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[5,1]], [[1,1],[3,1],[5,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[5,1]], [[1,1],[3,1],[4,1,5,1]]]]], [48,35,"C2 x C4 x S3",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1,4,1]], [[1,1,4,1],[],[]], [[1,1,4,1],[],[]]], [[[1,1],[2,1]], [[1,1],[],[2,1]], [[1,1],[],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[],[2,1]]], [[[5,1],[1,1,2,1]], [[1,1,2,1],[],[5,1]], [[1,1,2,1],[],[5,1]]], [[[1,1],[3,1]], [[1,1],[3,1],[]], [[1,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[4,1]], [[1,1],[3,1],[]]], [[[1,1,4,1],[2,1,5,1]], [[1,1,4,1],[],[2,1,5,1]], [[1,1,4,1],[],[2,1,5,1]]], [[[1,1,4,1],[2,1,5,1]], [[1,1,4,1],[2,1],[2,1,5,1]], [[1,1,4,1],[],[2,1,5,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[5,1]], [[1,1],[3,1],[5,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[4,1,5,1]], [[1,1],[3,1],[5,1]]]]], [48,36,"C2 x D24",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1,3,1]], [[1,1,3,1],[],[]], [[1,1,3,1],[],[]]], [[[1,1],[2,1]], [[1,1],[],[2,1]], [[1,1],[],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[],[2,1]]], [[[5,1],[1,1,3,1]], [[1,1,3,1],[],[5,1]], [[1,1,3,1],[],[5,1]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1],[]]], [[[1,1],[2,1,3,1,4,1]], [[1,1],[2,1,3,1,4,1],[4,1]], [[1,1],[2,1,3,1],[]]], [[[1,1],[2,1,4,1,5,1]], [[1,1],[],[2,1,4,1,5,1]], [[1,1],[],[2,1,4,1,5,1]]], [[[1,1],[2,1,4,1,5,1]], [[1,1],[],[2,1,4,1,5,1]], [[1,1],[2,1,4,1],[2,1,4,1,5,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[5,1]], [[1,1],[3,1],[5,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[5,1]], [[1,1],[3,1],[4,1,5,1]]]]], [48,37,"(C12 x C2) : C2",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[5,1]], [[1,1],[],[5,1]], [[1,1],[],[5,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]]]], [48,38,"D8 x S3",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1],[2,1]], [[1,1],[],[2,1]], [[1,1],[],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[2,1],[2,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1],[2,1,5,1]], [[1,1],[2,1],[2,1,5,1]]], [[[1,1],[2,1,5,1]], [[1,1],[],[2,1,5,1]], [[1,1],[],[2,1,5,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]]]], [48,39,"(C2 x (C3 : C4)) : C2",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]]]], [48,40,"Q8 x S3",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]]]], [48,41,"(C4 x S3) : C2",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]]]], [48,42,"C2 x C2 x (C3 : C4)",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[4,1],[4,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[3,1],[]], [[1,1,2,1],[3,1],[]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[3,1],[]], [[1,1,2,1,3,1,4,1],[3,1],[3,1,4,1]]], [[[3,1],[1,1,2,1,3,1]], [[1,1,2,1,3,1],[3,1],[3,1]], [[1,1,2,1,3,1,4,1],[3,1],[3,1,4,1]]], [[[1,1],[5,1]], [[1,1],[],[5,1]], [[1,1],[],[5,1]]], [[[1,1],[5,1]], [[1,1],[],[5,1]], [[1,1],[4,1],[4,1,5,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[5,1]], [[1,1],[3,1],[5,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[3,1,5,1]], [[1,1],[3,1],[5,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[4,1,5,1]], [[1,1],[3,1],[5,1]]]]], [48,43,"C2 x ((C6 x C2) : C2)",[[1,1],[3,1],[2,1,5,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[],[2,1]], [[1,1],[],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[],[2,1]]], [[[5,1],[1,1,2,1]], [[1,1,2,1],[],[5,1]], [[1,1,2,1],[],[5,1]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1],[]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1,4,1],[4,1]]], [[[1,1],[2,1,5,1]], [[1,1],[],[2,1,5,1]], [[1,1],[],[2,1,5,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1],[2,1,5,1]], [[1,1],[],[2,1,5,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[5,1]], [[1,1],[3,1],[5,1]]], [[[1,1],[3,1,5,1]], [[1,1],[3,1],[5,1]], [[1,1],[3,1],[4,1,5,1]]]]], [48,44,"C12 x C2 x C2",[[2,1],[3,1],[1,1,4,1]],[ [[[2,1]], [[2,1],[],[]], [[2,1],[],[]]], [[[2,1]], [[2,1],[],[]], [[2,1],[2,1],[]]], [[[2,1]], [[2,1],[],[]], [[2,1],[],[2,1]]], [[[4,1]], [[],[],[4,1]], [[],[],[4,1]]], [[[1,1]], [[],[],[1,1]], [[],[],[1,1]]], [[[1,1]], [[],[],[1,1]], [[5,1],[],[1,1]]], [[[2,1],[3,1]], [[2,1],[3,1],[]], [[2,1],[3,1],[]]], [[[2,1],[3,1]], [[2,1],[3,1],[]], [[2,1],[3,1],[3,1]]], [[[2,1,4,1]], [[2,1],[],[4,1]], [[2,1],[],[4,1]]], [[[2,1,4,1]], [[2,1],[],[4,1]], [[2,1],[2,1],[4,1]]], [[[2,1,4,1]], [[2,1],[],[4,1]], [[2,1],[],[2,1,4,1]]], [[[1,1],[2,1]], [[2,1],[],[1,1]], [[2,1],[],[1,1]]], [[[1,1],[2,1]], [[2,1],[],[1,1]], [[2,1],[2,1],[1,1]]], [[[1,1],[2,1]], [[2,1],[],[1,1]], [[2,1],[5,1],[1,1]]], [[[2,1,4,1],[3,1]], [[2,1],[3,1],[4,1]], [[2,1],[3,1],[4,1]]], [[[2,1,4,1],[3,1]], [[2,1],[3,1],[4,1]], [[2,1],[3,1],[2,1,4,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[],[],[1,1,4,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[5,1],[],[1,1,4,1]]], [[[1,1],[2,1],[3,1]], [[2,1],[3,1],[1,1]], [[2,1],[3,1],[1,1]]], [[[1,1,4,1],[2,1]], [[2,1],[],[1,1,4,1]], [[2,1],[],[1,1,4,1]]], [[[1,1,4,1],[2,1]], [[2,1],[],[1,1,4,1]], [[2,1],[2,1],[1,1,4,1]]], [[[1,1,4,1],[2,1]], [[2,1],[],[1,1,4,1]], [[2,1],[5,1],[1,1,4,1]]]]], [48,45,"C6 x D8",[[2,1],[3,1],[1,1,4,1]],[ [[[1,1]], [[],[],[1,1]], [[],[],[1,1]]], [[[1,1]], [[1,1],[],[1,1]], [[1,1],[],[1,1]]], [[[2,1],[3,1,5,1]], [[2,1],[3,1,5,1],[2,1]], [[2,1],[3,1,5,1],[2,1]]], [[[2,1],[3,1,5,1]], [[2,1],[3,1,5,1],[2,1]], [[2,1],[3,1,5,1],[2,1,3,1,5,1]]], [[[2,1],[3,1,5,1]], [[2,1],[3,1,5,1],[]], [[2,1],[3,1,5,1],[]]], [[[2,1],[3,1,5,1]], [[2,1],[3,1,5,1],[3,1,5,1]], [[2,1],[3,1,5,1],[]]], [[[1,1,3,1,4,1]], [[],[],[1,1,3,1,4,1]], [[],[],[1,1,3,1,4,1]]], [[[1,1,3,1,4,1]], [[1,1,3,1],[],[1,1,3,1,4,1]], [[1,1,3,1],[],[1,1,3,1,4,1]]], [[[1,1],[2,1]], [[2,1],[],[1,1]], [[2,1],[],[1,1]]], [[[1,1],[2,1]], [[2,1],[5,1],[1,1]], [[2,1],[],[1,1]]], [[[3,1],[1,1,4,1]], [[1,1],[3,1],[1,1,4,1]], [[1,1],[3,1],[1,1,4,1]]], [[[3,1],[1,1,4,1]], [[1,1],[3,1],[1,1,4,1]], [[1,1,3,1],[3,1],[1,1,4,1]]], [[[3,1],[1,1,4,1]], [[],[3,1],[1,1,4,1]], [[],[3,1],[1,1,4,1]]], [[[3,1],[1,1,4,1]], [[],[3,1],[1,1,4,1]], [[3,1],[3,1],[1,1,4,1]]], [[[1,1],[2,1],[3,1]], [[2,1],[3,1],[1,1]], [[2,1],[3,1],[1,1]]], [[[2,1],[1,1,4,1]], [[2,1],[],[1,1,4,1]], [[2,1],[],[1,1,4,1]]], [[[2,1],[1,1,4,1]], [[2,1],[5,1],[1,1,4,1]], [[2,1],[],[1,1,4,1]]]]], [48,46,"C6 x Q8",[[2,1],[3,1],[1,1,4,1]],[ [[[1,1],[2,1]], [[2,1],[],[1,1]], [[2,1],[],[1,1]]], [[[1,1],[2,1]], [[2,1],[5,1],[1,1]], [[2,1],[],[1,1]]], [[[1,1],[2,1],[3,1]], [[2,1],[3,1],[1,1]], [[2,1],[3,1],[1,1]]], [[[2,1],[1,1,4,1]], [[2,1],[],[1,1,4,1]], [[2,1],[],[1,1,4,1]]], [[[2,1],[1,1,4,1]], [[2,1],[],[1,1,4,1]], [[2,1],[5,1],[1,1,4,1]]]]], [48,47,"C3 x ((C4 x C2) : C2)",[[2,1],[3,1],[1,1,4,1]],[ [[[1,1]], [[],[],[1,1]], [[],[],[1,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[],[],[1,1,4,1]]], [[[1,1],[2,1],[3,1]], [[2,1],[3,1],[1,1]], [[2,1],[3,1],[1,1]]]]], [48,48,"C2 x S4",[[1,1,4,1],[2,1,3,1]],[ [[[3,1],[1,1,2,1]], [[1,1,2,1],[3,1]], [[1,1,2,1],[3,1]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1]], [[1,1],[2,1,3,1]]], [[[3,1],[1,1,4,1]], [[1,1,4,1],[3,1]], [[1,1,4,1],[3,1]]]]], [48,49,"C2 x C2 x A4",[[1,1,3,1],[2,1,4,1]],[ [[[3,1]], [[3,1],[]], [[3,1],[]]], [[[1,1,2,1,3,1]], [[1,1,2,1,3,1],[]], [[1,1,2,1,3,1],[]]], [[[1,1,2,1,3,1]], [[3,1],[1,1,2,1]], [[1,1,2,1,3,1],[]]], [[[3,1],[4,1]], [[3,1],[4,1]], [[3,1],[4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]]], [[[4,1],[1,1,2,1,3,1]], [[1,1,2,1,3,1],[4,1]], [[1,1,2,1,3,1],[4,1]]], [[[4,1],[1,1,2,1,3,1]], [[3,1],[1,1,2,1,4,1]], [[1,1,2,1,3,1],[4,1]]]]], [48,50,"(C2 x C2 x C2 x C2) : C3",[[1,1],[2,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[2,1],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[2,1]]]]], [48,51,"C2 x C2 x C2 x S3",[[1,1],[3,1],[4,1],[2,1,5,1]],[ [[[1,1,3,1]], [[1,1,3,1],[],[],[]], [[1,1,3,1],[],[],[]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[],[],[2,1,3,1]], [[1,1,3,1],[],[],[2,1,3,1]]], [[[1,1,2,1],[2,1,3,1]], [[1,1,2,1],[2,1,3,1],[],[]], [[1,1,3,1],[],[],[2,1,3,1]]], [[[5,1],[1,1,3,1]], [[1,1,3,1],[],[],[5,1]], [[1,1,3,1],[],[],[5,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[3,1],[4,1],[]], [[1,1],[3,1],[4,1],[]]], [[[1,1],[3,1],[4,1]], [[1,1],[3,1],[4,1],[]], [[1,1],[3,1],[4,1],[4,1]]], [[[1,1,3,1],[2,1,3,1,5,1]], [[1,1,3,1],[],[],[2,1,3,1,5,1]], [[1,1,3,1],[],[],[2,1,3,1,5,1]]], [[[1,1,2,1],[2,1,3,1,5,1]], [[1,1,2,1],[2,1,3,1],[],[5,1]], [[1,1,3,1],[],[],[2,1,3,1,5,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[3,1],[4,1],[2,1]], [[1,1],[3,1],[4,1],[2,1]]], [[[1,1,3,1],[2,1,5,1],[3,1,4,1]], [[1,1,3,1],[],[3,1,4,1],[2,1,5,1]], [[1,1,3,1],[],[3,1,4,1],[2,1,5,1]]], [[[1,1,4,1],[2,1,5,1],[3,1,4,1]], [[1,1,4,1],[3,1,4,1],[],[2,1,5,1]], [[1,1,3,1],[],[3,1,4,1],[2,1,5,1]]]]], [48,52,"C6 x C2 x C2 x C2",[[2,1],[3,1],[4,1],[1,1,5,1]],[ [[[2,1]], [[2,1],[],[],[]], [[2,1],[],[],[]]], [[[2,1]], [[2,1],[],[],[]], [[2,1],[2,1],[],[]]], [[[5,1]], [[],[],[],[5,1]], [[],[],[],[5,1]]], [[[2,1],[3,1]], [[2,1],[3,1],[],[]], [[2,1],[3,1],[],[]]], [[[2,1],[3,1]], [[2,1],[3,1],[],[]], [[2,1],[3,1],[2,1],[]]], [[[2,1],[3,1]], [[2,1],[3,1],[],[]], [[2,1],[3,1],[2,1],[3,1]]], [[[1,1,5,1]], [[],[],[],[1,1,5,1]], [[],[],[],[1,1,5,1]]], [[[1,1,5,1]], [[],[],[],[1,1,5,1]], [[1,1],[],[],[1,1,5,1]]], [[[2,1],[3,1],[4,1]], [[2,1],[3,1],[4,1],[]], [[2,1],[3,1],[4,1],[]]], [[[2,1],[3,1],[4,1]], [[2,1],[3,1],[4,1],[]], [[2,1],[3,1],[4,1],[4,1]]], [[[2,1],[1,1,5,1]], [[2,1],[],[],[1,1,5,1]], [[2,1],[],[],[1,1,5,1]]], [[[2,1],[1,1,5,1]], [[2,1],[],[],[1,1,5,1]], [[2,1],[2,1],[],[1,1,5,1]]], [[[2,1],[1,1,5,1]], [[2,1],[],[],[1,1,5,1]], [[2,1],[2,1],[1,1],[1,1,5,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[2,1],[3,1],[4,1],[1,1]], [[2,1],[3,1],[4,1],[1,1]]], [[[2,1],[3,1],[1,1,5,1]], [[2,1],[3,1],[],[1,1,5,1]], [[2,1],[3,1],[],[1,1,5,1]]], [[[2,1],[3,1],[1,1,5,1]], [[2,1],[3,1],[],[1,1,5,1]], [[2,1],[3,1],[3,1],[1,1,5,1]]]]], [49,1,"C49",[[1,1]],[ ]], [49,2,"C7 x C7",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[1,1]]]]], [50,1,"D50",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [50,2,"C50",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [50,3,"C5 x D10",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [50,4,"(C5 x C5) : C2",[[1,1],[2,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[2,1],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[2,1],[ 2, 3 ]]]]], [50,5,"C10 x C5",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[3,1]], [[3,1],[]], [[3,1],[]]], [[[3,1]], [[3,1],[]], [[3,1],[3,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[2,1],[1,1,2,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]]]], [51,1,"C51",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [52,1,"C13 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [52,2,"C52",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [52,3,"C13 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [52,4,"D52",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [52,5,"C26 x C2",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], [53,1,"C53",[[1,1]],[ ]], [54,1,"D54",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [54,2,"C54",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [54,3,"C3 x D18",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]]]], [54,4,"C9 x S3",[[4,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[4,1]], [[4,1],[1,1]], [[4,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [54,5,"((C3 x C3) : C3) : C2",[[3,1],[1,1,2,1]],[ [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [54,6,"(C9 : C3) : C2",[[3,1],[1,1,2,1]],[ [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [54,7,"(C9 x C3) : C2",[[1,1],[2,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[3,2],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[2,1],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[2,1]], [[1,1],[2,1],[2,1,4,1]]]]], [54,8,"((C3 x C3) : C3) : C2",[[1,1],[2,1],[2,1,3,1]],[ [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]]]], [54,9,"C18 x C3",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[3,1]], [[3,1],[]], [[3,1],[]]], [[[3,1]], [[3,1],[]], [[3,1],[3,1]]], [[[1,1,3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,3,1]], [[3,1],[1,1]], [[3,1],[1,1,3,1]]], [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[],[2,1]], [[4,1],[2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[4,1],[1,1,2,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]]]], [54,10,"C2 x ((C3 x C3) : C3)",[[3,1],[1,1,2,1]],[ [[[3,1]], [[3,1],[]], [[3,1],[]]], [[[1,1,3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]]]], [54,11,"C2 x (C9 : C3)",[[3,1],[1,1,2,1]],[ [[[3,1]], [[3,1],[]], [[3,1],[]]], [[[1,1,3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[2,1],[3,1]], [[3,1],[2,1]], [[3,1],[2,1]]]]], [54,12,"C3 x C3 x S3",[[1,1,2,1],[3,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[1,1,3,1]], [[1,1],[3,1]], [[1,1],[3,1]]], [[[1,1,3,1]], [[1,1],[3,1]], [[1,1,3,1],[3,1]]], [[[4,1],[1,1,3,1]], [[1,1],[3,1,4,1]], [[1,1],[3,1,4,1]]], [[[4,1],[1,1,3,1]], [[1,1],[3,1,4,1]], [[1,1,3,2],[3,1,4,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[3,1]], [[1,1,2,1],[3,1]]]]], [54,13,"C3 x ((C3 x C3) : C2)",[[3,1],[1,1,2,1],[3,1,4,1]],[ [[[1,1]], [[],[1,1],[]], [[],[1,1],[]]], [[[1,1],[4,1]], [[],[1,1],[4,1]], [[],[1,1],[4,1]]], [[[1,1],[4,1]], [[4,1],[1,1],[4,2]], [[],[1,1],[4,1]]], [[[1,1,2,1]], [[],[1,1,2,1],[]], [[],[1,1,2,1],[]]], [[[1,1],[3,1],[3,1,4,1]], [[3,1],[1,1],[3,1,4,1]], [[3,1],[1,1],[3,1,4,1]]], [[[4,1],[1,1,2,1]], [[],[1,1,2,1],[4,1]], [[],[1,1,2,1],[4,1]]], [[[4,1],[1,1,2,1]], [[],[1,1,2,1],[4,1]], [[4,2],[1,1,2,1],[]]]]], [54,14,"(C3 x C3 x C3) : C2",[[1,1],[2,1],[3,1], [2,1,3,1,4,1]],[ [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1],[2,1,3,2]], [[1,1],[2,1,3,2],[],[2,1,3,2]], [[1,1],[2,1,3,2],[],[2,1,3,2]]], [[[1,1],[2,1,3,2]], [[1,1],[2,1,3,2],[],[2,1,3,2]], [[1,1],[2,2,3,1],[2,1,3,2],[2,2,3,1]]], [[[1,1],[2,1,3,1,4,1],[2,1,4,2]], [[1,1],[2,1,4,2],[ 3, 1, 4, 2 ],[2,1,3,1,4,1]], [[1,1],[2,1,4,2],[ 3, 1, 4, 2 ],[2,1,3,1,4,1]]], [[[1,1],[2,2,3,1],[ 2, 2, 4, 1 ]], [[1,1],[],[2,2,3,1],[2,1,3,1,4,1]], [[1,1],[2,1,4,2],[ 3, 1, 4, 2 ],[2,1,3,1,4,1]]]]], [54,15,"C6 x C3 x C3",[[3,1],[4,1],[1,1,2,1]],[ [[[1,1]], [[],[],[1,1]], [[],[],[1,1]]], [[[3,1]], [[3,1],[],[]], [[3,1],[],[]]], [[[3,1]], [[3,1],[],[]], [[3,1],[3,1],[]]], [[[1,1,2,1]], [[],[],[1,1,2,1]], [[],[],[1,1,2,1]]], [[[1,1,2,1]], [[],[],[1,1,2,1]], [[2,1],[],[1,1,2,1]]], [[[3,1],[4,1]], [[3,1],[4,1],[]], [[3,1],[4,1],[]]], [[[3,1],[4,1]], [[3,1],[4,1],[]], [[3,1],[4,1],[4,1]]], [[[3,1],[1,1,2,1]], [[3,1],[],[1,1,2,1]], [[3,1],[],[1,1,2,1]]], [[[3,1],[1,1,2,1]], [[3,1],[],[1,1,2,1]], [[3,1],[3,1],[1,1,2,1]]], [[[2,1],[3,1],[4,1]], [[3,1],[4,1],[2,1]], [[3,1],[4,1],[2,1]]]]], [55,1,"C11 : C5",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [55,2,"C55",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [56,1,"C7 : C8",[[1,1],[4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [56,2,"C56",[[1,1,2,1]],[ [[[2,1]], [[2,1]], [[2,1]]], [[[1,1]], [[1,1]], [[1,1]]]]], [56,3,"C7 : Q8",[[1,1],[2,1,4,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]]]], [56,4,"C4 x D14",[[1,1],[2,1,4,1]],[ [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[4,1],[1,1,3,1]], [[1,1,3,1],[4,1]], [[1,1,3,1],[4,1]]]]], [56,5,"D56",[[1,1],[2,1,4,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[4,1],[1,1,2,1]], [[1,1,2,1],[4,1]], [[1,1,2,1],[4,1]]]]], [56,6,"C2 x (C7 : C4)",[[1,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[3,1,4,1]]]]], [56,7,"(C14 x C2) : C2",[[1,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]]]], [56,8,"C28 x C2",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[],[1,1]], [[4,1],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[3,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[2,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[4,1],[1,1,3,1]]]]], [56,9,"C7 x D8",[[2,1],[1,1,3,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[1,1],[1,1]], [[1,1],[1,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[1,1],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], [56,10,"C7 x Q8",[[2,1],[1,1,3,1]],[ [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]]]], [56,11,"(C2 x C2 x C2) : C7",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [56,12,"C2 x C2 x D14",[[1,1],[3,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[]], [[1,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[]], [[1,1],[3,1],[3,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[3,1],[2,1]], [[1,1],[3,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[],[4,1]], [[1,1],[],[4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1],[4,1]], [[1,1],[3,1],[4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1],[3,1,4,1]], [[1,1],[3,1],[4,1]]]]], [56,13,"C14 x C2 x C2",[[2,1],[3,1],[1,1,4,1]],[ [[[2,1]], [[2,1],[],[]], [[2,1],[],[]]], [[[2,1]], [[2,1],[],[]], [[2,1],[2,1],[]]], [[[2,1],[3,1]], [[2,1],[3,1],[]], [[2,1],[3,1],[]]], [[[2,1],[3,1]], [[2,1],[3,1],[]], [[2,1],[3,1],[3,1]]], [[[4,1]], [[],[],[4,1]], [[],[],[4,1]]], [[[1,1],[2,1],[3,1]], [[2,1],[3,1],[1,1]], [[2,1],[3,1],[1,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[],[],[1,1,4,1]]], [[[1,1,4,1]], [[],[],[1,1,4,1]], [[1,1],[],[1,1,4,1]]], [[[2,1],[1,1,4,1]], [[2,1],[],[1,1,4,1]], [[2,1],[],[1,1,4,1]]], [[[2,1],[1,1,4,1]], [[2,1],[],[1,1,4,1]], [[2,1],[2,1],[1,1,4,1]]]]], [57,1,"C19 : C3",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [57,2,"C57",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [58,1,"D58",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [58,2,"C58",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [59,1,"C59",[[1,1]],[ ]], [60,1,"C5 x (C3 : C4)",[[4,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[4,1]], [[4,1],[1,1]], [[4,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [60,2,"C3 x (C5 : C4)",[[4,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1],[4,1]], [[4,1],[1,1]], [[4,1],[1,1]]]]], [60,3,"C15 : C4",[[1,1],[3,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]]]], [60,4,"C60",[[1,1,2,1,3,1]],[ [[[2,1]], [[2,1]], [[2,1]]], [[[1,1]], [[1,1]], [[1,1]]], [[[3,1]], [[3,1]], [[3,1]]], [[[1,1,2,1]], [[1,1,2,1]], [[1,1,2,1]]], [[[2,1,3,1]], [[2,1,3,1]], [[2,1,3,1]]], [[[1,1,3,1]], [[1,1,3,1]], [[1,1,3,1]]]]], [60,5,"A5",[ (1,2,3,4,5), (1,2,3) ],[ ]], [60,6,"C3 x (C5 : C4)",[[4,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1],[4,1]], [[4,1],[1,1]], [[4,1],[1,1]]]]], [60,7,"C15 : C4",[[1,1],[3,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]]]], [60,8,"S3 x D10",[[1,1,3,1],[2,1,4,1]],[ [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]]], [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]]]]], [60,9,"C5 x A4",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [60,10,"C6 x D10",[[1,1,3,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]]], [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]]], [[[4,1],[1,1,3,1]], [[1,1,3,1],[4,1]], [[1,1,3,1],[4,1]]]]], [60,11,"C10 x S3",[[1,1,3,1],[2,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[1,1,3,1]], [[1,1,3,1],[]], [[1,1,3,1],[]]], [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1]], [[1,1,3,1],[2,1]]], [[[4,1],[1,1,3,1]], [[1,1,3,1],[4,1]], [[1,1,3,1],[4,1]]]]], [60,12,"D60",[[1,1],[2,1,3,1,4,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]], [[[1,1],[4,1]], [[1,1],[4,1]], [[1,1],[4,1]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1]], [[1,1],[2,1,3,1]]], [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]], [[1,1],[2,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1,4,1]], [[1,1],[3,1,4,1]]]]], [60,13,"C30 x C2",[[2,1],[1,1,3,1,4,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[4,1]], [[],[4,1]], [[],[4,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[3,1]]], [[[2,1,3,1]], [[2,1],[3,1]], [[2,1],[2,1,3,1]]], [[[1,1,4,1]], [[],[1,1,4,1]], [[],[1,1,4,1]]], [[[1,1,4,1]], [[],[1,1,4,1]], [[1,1],[1,1,4,1]]], [[[2,1],[1,1,3,1]], [[2,1],[1,1,3,1]], [[2,1],[1,1,3,1]]], [[[3,1,4,1]], [[],[3,1,4,1]], [[],[3,1,4,1]]], [[[2,1],[1,1,4,1]], [[2,1],[1,1,4,1]], [[2,1],[1,1,4,1]]], [[[1,1,3,1,4,1]], [[],[1,1,3,1,4,1]], [[],[1,1,3,1,4,1]]], [[[1,1,3,1,4,1]], [[],[1,1,3,1,4,1]], [[1,1],[1,1,3,1,4,1]]]]], [61,1,"C61",[[1,1]],[ ]], [62,1,"D62",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [62,2,"C62",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [63,1,"C7 : C9",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [63,2,"C63",[[1,1,2,1]],[ [[[2,1]], [[2,1]], [[2,1]]], [[[1,1]], [[1,1]], [[1,1]]]]], [63,3,"C3 x (C7 : C3)",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [63,4,"C21 x C3",[[2,1],[1,1,3,1]],[ [[[2,1]], [[2,1],[]], [[2,1],[]]], [[[2,1]], [[2,1],[]], [[2,1],[2,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], ## groups of order 64 removed from here, then re-instated 26/03/13 [64,1,"C64",[[1,1]],[ ]], [64,2,"C8 x C8",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[1,1]]], [[[1,1]], [[1,1],[]], [[1,1],[3,1]]], [[[1,1]], [[1,1],[]], [[1,1],[5,1]]]]], [64,3,"C8 : C8",[[1,1],[2,1]],[ [[[1,1,2,1,3,1,5,1]], [[],[1,1,2,1,3,1,5,1]], [[],[1,1,2,1,3,1,5,1]]], [[[1,1,2,1,3,1,6,1]], [[5,1,6,1],[1,1,2,1,3,1,6,1]], [[3,1,4,1],[1,1,2,1,4,1]]], [[[1,1,2,1,3,1,6,1]], [[5,1,6,1],[1,1,2,1,3,1,6,1]], [[],[1,1,2,1,3,1,5,1]]]]], [64,4,"((C8 x C2) : C2) : C2",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[6,1]], [[1,1],[]]]]], [64,5,"(C4 x C2) : C8",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[6,1]], [[1,1],[]]]]], [64,6,"(C8 x C4) : C2",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [64,7,"Q8 : C8",[[1,1],[2,1]],[ ]], [64,8,"((C8 x C2) : C2) : C2",[[1,1],[2,1]],[ ]], [64,9,"(C2 x Q8) : C4",[[1,1],[2,1]],[ ]], [64,10,"(C8 : C4) : C2",[[1,1],[2,1]],[ ]], [64,11,"(C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2)", [[1,1],[2,1]],[ ]], [64,12,"(C4 : C8) : C2",[[1,1],[2,1]],[ ]], [64,13,"(C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2)", [[1,1],[2,1]],[ ]], [64,14,"(C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2)", [[1,1],[2,1]],[ ]], [64,15,"C8 : C8",[[1,1],[2,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[1,1,2,1,6,1]], [[1,1,2,1,6,1],[6,1]], [[1,1,2,1],[]]]]], [64,16,"C8 : C8",[[1,1],[2,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[1,1,2,1,6,1]], [[1,1,2,1,6,1],[6,1]], [[1,1,2,1],[]]]]], [64,17,"(C8 x C2) : C4",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[5,1],[2,1]], [[],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[4,1,6,1]]], [[[1,1]], [[1,1],[]], [[1,1],[6,1]]]]], [64,18,"(C8 x C2) : C4",[[1,1],[2,1]],[ [[[1,1,5,1]], [[1,1,4,1,5,1,6,1],[1,1,5,1]], [[1,1,4,1,5,1,6,1],[1,1,5,1]]], [[[1,1,5,1]], [[1,1,5,1],[]], [[1,1,5,1],[]]]]], [64,19,"C4 . (C4 x C4)",[[1,1],[2,1]],[ ]], [64,20,"(C4 x C4) : C4",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[4,1]]]]], [64,21,"(C8 x C2) : C4",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[4,1]]]]], [64,22,"(C4 x C2) . D8 = C4 . (C4 x C4)",[[1,1],[2,1]],[ ]], [64,23,"(C4 x C2 x C2) : C4",[[1,1],[2,1]],[ [[[1,1,2,1,5,1]], [[1,1,2,1,5,1],[]], [[1,1,2,1,5,1],[]]]]], [64,24,"(C8 : C2) : C4",[[1,1],[2,1]],[ ]], [64,25,"(C8 x C2) : C4",[[1,1],[2,1]],[ [[[1,1,5,1]], [[1,1,5,1],[]], [[1,1,5,1],[]]]]], [64,26,"C16 x C4",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[],[2,1]], [[2,1],[2,1]]], [[[2,1]], [[],[2,1]], [[4,1],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[5,1]]], [[[1,1]], [[1,1],[]], [[1,1],[6,1]]]]], [64,27,"C16 : C4",[[1,1],[2,1]],[ [[[2,1,5,1]], [[],[2,1,5,1]], [[],[2,1,5,1]]], [[[2,1,5,1]], [[],[2,1,5,1]], [[4,1,6,1],[2,1,5,1]]]]], [64,28,"C16 : C4",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]]]], [64,29,"(C16 x C2) : C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[6,1]], [[1,1],[]]]]], [64,30,"(C16 : C2) : C2",[[1,1],[2,1]],[ ]], [64,31,"(C16 x C2) : C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]]]], [64,32,"((C8 : C2) : C2) : C2",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [64,33,"(C4 x C2 x C2) : C4",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [64,34,"(((C4 x C2) : C2) : C2) : C2",[[1,1],[2,1]],[ [[[1,1,2,1,3,1,4,1]], [[1,1,2,1,3,1,4,1],[3,1,4,1]], [[1,1,2,1,3,1,4,1],[3,1,4,1]]]]], [64,35,"(C4 x C4) : C4",[[1,1],[2,1]],[ [[[1,1,2,1,3,1,4,1,6,1]], [[1,1,2,1,3,1,4,1,6,1],[3,1,4,1,6,1]], [[1,1,2,1,3,1,4,1,6,1],[3,1,4,1,6,1]]]]], [64,36,"(C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2", [[1,1],[2,1]],[ ]], [64,37,"C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2)", [[1,1],[2,1]],[ ]], [64,38,"(C16 x C2) : C2",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [64,39,"Q16 : C4",[[1,1],[2,1]],[ ]], [64,40,"(C16 x C2) : C2",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [64,41,"(C16 : C2) : C2",[[1,1],[2,1]],[ ]], [64,42,"(C16 : C2) : C2",[[1,1],[2,1]],[ ]], [64,43,"C2 . ((C8 x C2) : C2) = C8 . (C4 x C2)",[[1,1],[2,1]],[ ]], [64,44,"C4 : C16",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[6,1]]]]], [64,45,"C8 . D8 = C4 . (C8 x C2)",[[1,1],[2,1]],[ ]], [64,46,"C16 : C4",[[1,1],[2,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [64,47,"C16 : C4",[[1,1],[2,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[1,1,2,1,4,1]], [[1,1,2,1,4,1],[4,1]], [[1,1,2,1],[]]]]], [64,48,"C16 : C4",[[1,1],[2,1]],[ [[[1,1,2,1]], [[1,1,2,1],[]], [[1,1,2,1],[]]], [[[1,1,2,1,4,1,6,1]], [[1,1,2,1,4,1,6,1],[4,1,6,1]], [[1,1,2,1],[]]]]], [64,49,"C4 . D16 = C8 . (C4 x C2)",[[1,1],[2,1]],[ ]], [64,50,"C32 x C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]], [[[2,1]], [[],[2,1]], [[2,1],[2,1]]], [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1]], [[1,1],[]], [[1,1],[6,1]]]]], [64,51,"C32 : C2",[[1,1],[2,1]],[ [[[2,1]], [[],[2,1]], [[],[2,1]]]]], [64,52,"D64",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [64,53,"QD64",[[1,1],[2,1]],[ [[[2,1]], [[2,1],[2,1]], [[2,1],[2,1]]]]], [64,54,"Q64",[[1,1],[2,1]],[ ]], [64,55,"C4 x C4 x C4",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[1,1],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[4,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[2,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[5,1]]]]], [64,56,"C2 x ((C4 x C2) : C4)",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[],[2,1],[]], [[6,1],[2,1],[6,1]]], [[[2,1]], [[],[2,1],[6,1]], [[6,1],[2,1],[6,1]]], [[[3,1,6,1],[1,1,2,1,6,1]], [[1,1,2,1,6,1],[],[3,1,6,1]], [[1,1,2,1,6,1],[],[3,1,6,1]]], [[[3,1,6,1],[1,1,2,1,6,1]], [[1,1,2,1,6,1],[],[3,1,6,1]], [[1,1,2,1,3,1],[3,1,6,1],[3,1,6,1]]], [[[1,1,2,1,3,1],[3,1,4,1,5,1]], [[3,1,4,1,5,1],[1,1,2,1,3,1],[3,1,4,1,5,1]], [[3,1,6,1],[ 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1 ], [3,1,4,1,5,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,4,1],[2,1],[4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,6,1],[2,1],[6,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,4,1,6,1],[2,1],[4,1,6,1]]]]], [64,57,"(C4 x C4) : C4",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[],[2,1],[]], [[6,1],[2,1],[]]], [[[2,1]], [[],[2,1],[]], [[],[2,1],[6,1]]]]], [64,58,"C4 x ((C4 x C2) : C2)",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[],[]], [[1,1,3,1,5,1,6,1],[],[]]], [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[6,1],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[],[2,1],[6,1]], [[6,1],[2,1],[]]], [[[2,1]], [[],[2,1],[6,1]], [[],[2,1],[]]], [[[1,1,6,1],[3,1,6,1]], [[1,1,6,1],[],[3,1,6,1]], [[1,1,6,1],[],[3,1,6,1]]], [[[1,1,6,1],[3,1,6,1]], [[1,1,6,1],[],[3,1,6,1]], [[1,1,6,1],[5,1],[3,1,6,1]]], [[[1,1,6,1],[3,1,6,1]], [[1,1,6,1],[],[3,1,6,1]], [[1,1,5,1,6,1],[3,1,6,1],[3,1,5,1,6,1]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[3,1,5,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[3,1,6,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,4,1],[2,1],[4,1]]], [[[2,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1],[6,1]], [[1,1,3,1,4,1],[2,1],[4,1]]]]], [64,59,"C4 x (C4 : C4)",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1,3,1,5,1]], [[],[1,1,2,1,3,1,5,1],[]], [[],[1,1,2,1,3,1,5,1],[]]], [[[1,1,2,1,3,1,5,1]], [[],[1,1,2,1,3,1,5,1],[]], [[6,1],[1,1,2,1,3,1,5,1],[6,1]]], [[[1,1,2,1,3,1,5,1]], [[],[1,1,2,1,3,1,5,1],[]], [[],[1,1,2,1,3,1,5,1,6,1],[6,1]]], [[[1,1,2,1,3,1,5,1]], [[],[1,1,2,1,3,1,5,1],[]], [[6,1],[1,1,2,1,3,1,5,1,6,1],[]]], [[[2,1,4,1,5,1],[1,1,3,1,4,1,5,1]], [[1,1,3,1,4,1,5,1],[2,1,4,1,5,1],[]], [[1,1,3,1,4,1,5,1],[2,1,4,1,5,1],[]]], [[[1,1,3,1,5,1],[2,1,4,1,5,1]], [[1,1,3,1,5,1],[2,1,4,1,5,1],[4,1]], [[1,1,3,1,4,1,5,1],[2,1,4,1,5,1],[]]], [[[2,1,4,1,5,1],[1,1,3,1,4,1,5,1,6,1]], [[1,1,3,1,4,1,5,1,6,1],[2,1,4,1,5,1],[6,1]], [[1,1,3,1,4,1,5,1],[2,1,4,1,5,1],[]]], [[[2,1,4,1,5,1],[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[2,1,4,1,5,1],[4,1,6,1]], [[1,1,3,1,4,1,5,1],[2,1,4,1,5,1],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[3,1,6,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[3,1,4,1,5,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]]]], [64,60,"(C2 x ((C4 x C2) : C2)) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1,5,1,6,1],[3,1,4,1,5,1,6,1]], [[],[2,1,5,1,6,1],[3,1,4,1,5,1,6,1]], [[],[2,1,5,1,6,1],[3,1,4,1,5,1,6,1]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[6,1],[]], [[1,1],[],[]]], [[[1,1],[2,1,3,1,4,1]], [[1,1],[],[2,1,3,1,4,1]], [[1,1],[],[2,1,3,1,4,1]]], [[[1,1],[2,1,3,1,4,1]], [[1,1],[],[2,1,3,1,4,1]], [[1,1],[4,1,5,1,6,1],[2,1,3,1,5,1,6,1]]], [[[1,1],[2,1,3,1,4,1]], [[1,1],[],[2,1,3,1,4,1]], [[1,1],[4,1,5,1],[2,1,3,1,5,1]]], [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[]], [[1,1],[4,1,5,1],[2,1,3,1,5,1]]]]], [64,61,"(C2 x (C4 : C4)) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[6,1],[6,1]]], [[[1,1]], [[1,1],[],[6,1]], [[1,1],[6,1],[6,1]]], [[[1,1]], [[1,1],[6,1],[]], [[1,1],[6,1],[6,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[4,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[6,1]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[6,1]], [[1,1],[2,1,5,1],[4,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1,5,1],[5,1],[3,1]]], [[[3,1],[1,1,2,1,6,1]], [[1,1,2,1,6,1],[6,1],[3,1]], [[1,1,2,1,5,1],[5,1],[3,1]]]]], [64,62,"((C4 x C2) : C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[6,1],[]]], [[[1,1]], [[1,1],[],[6,1]], [[1,1],[],[]]]]], [64,63,"(C4 x C4) : C4",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1]], [[1,1,3,1],[],[]], [[1,1,3,1],[],[]]], [[[1,1,3,1]], [[1,1,3,1],[],[]], [[1,1,3,1],[4,1,5,1,6,1],[]]], [[[1,1,3,1]], [[1,1,3,1],[],[]], [[1,1,3,1,4,1,5,1,6,1],[4,1,5,1,6,1], [4,1,5,1,6,1]]]]], [64,64,"(C4 x C4) : C4",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1]], [[1,1,3,1],[],[]], [[1,1,3,1],[],[]]], [[[1,1,3,1]], [[1,1,3,1],[],[]], [[1,1,3,1,4,1,5,1,6,1],[4,1,5,1,6,1], [4,1,5,1,6,1]]]]], [64,65,"(C4 x C4) : C4",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[6,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[4,1]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[2,1,4,1,6,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[6,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[4,1,6,1]]]]], [64,66,"(C2 x (C4 : C4)) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1]], [[2,1],[2,1],[3,1]], [[2,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[2,1],[2,1],[3,1]], [[2,1,6,1],[2,1],[3,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[4,1]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[6,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[4,1,6,1]]]]], [64,67,"(C4 x C2 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]], [[[2,1],[3,1]], [[2,1],[2,1],[3,1]], [[2,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[2,1,4,1,6,1],[2,1],[3,1]], [[2,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]], [[2,1,3,1,4,1,6,1],[2,1],[3,1]]], [[[3,1,4,1],[1,1,2,1,6,1]], [[1,1,2,1,6,1],[],[3,1,4,1]], [[1,1,2,1,6,1],[],[3,1,4,1]]], [[[3,1,4,1],[1,1,2,1,5,1,6,1]], [[1,1,2,1,5,1,6,1],[5,1],[3,1,4,1]], [[1,1,2,1,6,1],[],[3,1,4,1]]], [[[3,1,4,1],[1,1,2,1,6,1]], [[1,1,2,1,6,1],[],[3,1,4,1]], [[1,1,2,1,3,1,4,1,6,1],[3,1,4,1,5,1], [3,1,4,1,5,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1],[2,1,3,1],[]]], [[[1,1,3,1,4,1,5,1],[2,1,3,1,4,1,5,1]], [[1,1,3,1,4,1,5,1],[2,1,3,1,4,1,5,1],[4,1,5,1]], [[1,1,3,1],[2,1,3,1],[]]], [[[1,1,3,1,5,1,6,1],[2,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[2,1,3,1,5,1,6,1],[5,1,6,1]], [[1,1,3,1],[2,1,3,1],[]]], [[[1,1,3,1,4,1,6,1],[2,1,3,1,4,1,6,1]], [[1,1,3,1,4,1,6,1],[2,1,3,1,4,1,6,1],[4,1,6,1]], [[1,1,3,1],[2,1,3,1],[]]]]], [64,68,"(C4 : C4) : C4",[[1,1],[2,1],[3,1]],[ ]], [64,69,"(C4 x C4 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]]]], [64,70,"(C4 : C4) : C4",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[4,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[6,1]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[6,1]], [[1,1],[2,1],[4,1]]]]], [64,71,"(C4 x C4 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1,3,1,6,1]], [[1,1,2,1,3,1,6,1],[],[]], [[1,1,2,1,3,1,6,1],[],[]]], [[[1,1,2,1,6,1],[3,1,4,1,6,1]], [[1,1,2,1,6,1],[],[3,1,4,1,6,1]], [[1,1,2,1,6,1],[],[3,1,4,1,6,1]]], [[[1,1,2,1,6,1],[3,1,4,1,6,1]], [[1,1,2,1,6,1],[],[3,1,4,1,6,1]], [[1,1,2,1,5,1,6,1],[5,1],[3,1,4,1,6,1]]], [[[1,1,2,1,6,1],[3,1,4,1,6,1]], [[1,1,2,1,6,1],[],[3,1,4,1,6,1]], [[1,1,2,1,3,1,4,1,5,1],[3,1,4,1,6,1], [3,1,4,1,5,1,6,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[6,1]], [[1,1],[2,1,5,1],[4,1,6,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[4,1,6,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[6,1]]]]], [64,72,"(C2 x Q8) : C4",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1,5,1,6,1],[3,1,4,1,5,1,6,1]], [[1,1,2,1,5,1,6,1],[],[3,1,4,1,5,1,6,1]], [[1,1,2,1,5,1,6,1],[],[3,1,4,1,5,1,6,1]]], [[[1,1,2,1,6,1],[3,1,4,1,5,1,6,1]], [[1,1,2,1,6,1],[5,1],[3,1,4,1,5,1,6,1]], [[1,1,2,1,5,1,6,1],[],[3,1,4,1,5,1,6,1]]], [[[1,1,2,1,5,1,6,1],[3,1,4,1,5,1,6,1]], [[1,1,2,1,5,1,6,1],[],[3,1,4,1,5,1,6,1]], [[1,1,2,1,3,1,4,1],[3,1,4,1,6,1],[3,1,4,1,6,1]]]]], [64,73,"(C2 x C2 x D8) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,6,1],[2,1,6,1]], [[1,1,6,1],[2,1,6,1],[]], [[1,1,6,1],[2,1,6,1],[]]], [[[1,1,6,1],[2,1,6,1]], [[1,1,6,1],[2,1,6,1],[4,1]], [[1,1,6,1],[2,1,6,1],[]]], [[[1,1,6,1],[2,1,6,1]], [[1,1,6,1],[2,1,6,1],[2,1,6,1]], [[1,1,6,1],[2,1,6,1],[2,1,6,1]]], [[[1,1,6,1],[2,1,6,1]], [[1,1,6,1],[2,1,6,1],[2,1,6,1]], [[1,1,6,1],[2,1,6,1],[2,1,4,1,6,1]]]]], [64,74,"(C2 x C2 x Q8) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,6,1],[2,1,6,1]], [[1,1,6,1],[2,1,6,1],[]], [[1,1,6,1],[2,1,6,1],[]]], [[[1,1,6,1],[2,1,6,1]], [[1,1,6,1],[2,1,6,1],[4,1]], [[1,1,6,1],[2,1,6,1],[]]]]], [64,75,"(C2 x ((C4 x C2) : C2)) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,5,1,6,1]], [[1,1],[2,1,5,1,6,1],[1,1,2,1,5,1,6,1]], [[1,1],[2,1,5,1,6,1],[1,1,2,1,5,1,6,1]]], [[[1,1],[2,1,5,1,6,1]], [[1,1],[2,1,5,1,6,1],[1,1,2,1,5,1,6,1]], [[1,1],[2,1,5,1,6,1],[1,1,2,1,4,1,5,1,6,1]]]]], [64,76,"(C4 x C2) : Q8",[[1,1],[2,1],[3,1]],[ [[[1,1,6,1],[2,1,5,1,6,1]], [[1,1,6,1],[2,1,4,1,5,1,6,1],[2,1,5,1,6,1]], [[1,1,6,1],[2,1,4,1,5,1,6,1],[2,1,5,1,6,1]]], [[[1,1,6,1],[2,1,4,1,5,1,6,1]], [[1,1,6,1],[2,1,4,1,5,1,6,1],[2,1,4,1,5,1,6,1]], [[1,1,6,1],[2,1,4,1,5,1,6,1],[2,1,5,1,6,1]]]]], [64,77,"(C2 x (C4 : C4)) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,78,"(C2 x (C4 : C4)) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,79,"(C2 x C2 x C2) . (C2 x C2 x C2)",[[1,1],[2,1],[3,1]],[ ]], [64,80,"(C2 x (C4 : C4)) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,81,"(C2 x C2 x C2) . (C2 x C2 x C2)",[[1,1],[2,1],[3,1]],[ ]], [64,82,"(C2 x C2 x C2) . (C2 x C2 x C2)",[[1,1],[2,1],[3,1]],[ ]], [64,83,"C8 x C4 x C2",[[1,1],[2,1],[3,1]],[ [[[3,1]], [[],[],[3,1]], [[],[],[3,1]]], [[[3,1]], [[],[],[3,1]], [[],[3,1],[3,1]]], [[[3,1]], [[],[],[3,1]], [[3,1],[],[3,1]]], [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[],[2,1],[]], [[],[2,1],[5,1]]], [[[2,1]], [[],[2,1],[]], [[2,1],[2,1],[]]], [[[2,1]], [[],[2,1],[]], [[2,1],[2,1],[5,1]]], [[[2,1]], [[],[2,1],[]], [[5,1],[2,1],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[6,1],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[4,1],[]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[6,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[2,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[5,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[4,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[6,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[3,1],[3,1]], [[1,1],[4,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[5,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[6,1]]]]], [64,84,"C2 x (C8 : C4)",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[],[2,1],[]], [[],[2,1],[5,1]]], [[[2,1]], [[],[2,1],[]], [[5,1],[2,1],[]]], [[[2,1],[3,1,6,1]], [[],[2,1],[3,1,6,1]], [[],[2,1],[3,1,6,1]]], [[[2,1],[3,1,6,1]], [[5,1],[2,1],[3,1,6,1]], [[],[2,1],[3,1,6,1]]], [[[2,1],[3,1,6,1]], [[],[2,1],[3,1,6,1]], [[3,1,6,1],[2,1],[3,1,6,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,5,1],[2,1],[5,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,6,1],[2,1],[6,1]]]]], [64,85,"C4 x (C8 : C2)",[[1,1],[2,1],[3,1]],[ [[[3,1]], [[],[],[3,1]], [[],[],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[2,1],[3,1]], [[5,1],[2,1],[3,1]], [[2,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[5,1],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[1,1,5,1],[3,1,5,1]], [[1,1,5,1],[],[3,1,5,1]], [[1,1,5,1],[],[3,1,5,1]]], [[[1,1,5,1],[3,1,5,1]], [[1,1,5,1],[],[3,1,5,1]], [[1,1,5,1,6,1],[4,1],[3,1,5,1,6,1]]], [[[1,1,5,1],[3,1,5,1]], [[1,1,5,1],[],[3,1,5,1]], [[1,1,5,1],[6,1],[3,1,5,1]]]]], [64,86,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[3,1,5,1]], [[],[],[3,1,5,1]], [[],[],[3,1,5,1]]], [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1]], [[5,1],[2,1],[]], [[5,1],[2,1],[5,1]]], [[[2,1]], [[],[2,1],[]], [[5,1],[2,1],[5,1]]], [[[2,1]], [[],[2,1],[]], [[5,1],[2,1],[]]]]], [64,87,"C2 x ((C8 x C2) : C2)",[[1,1],[2,1],[3,1]],[ [[[2,1,3,1]], [[],[2,1,3,1],[]], [[],[2,1,3,1],[]]], [[[2,1],[3,1,4,1]], [[],[2,1],[3,1,4,1]], [[],[2,1],[3,1,4,1]]], [[[2,1],[3,1,4,1]], [[],[2,1],[3,1,4,1]], [[3,1,4,1],[2,1],[3,1,4,1]]], [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[6,1]], [[1,1],[],[]]], [[[1,1]], [[1,1],[6,1],[]], [[1,1],[],[]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[],[3,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[6,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[3,1,4,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,4,1]], [[1,1,3,1,4,1],[2,1],[4,1]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1],[6,1]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1],[6,1]], [[1,1,3,1,4,1],[2,1],[4,1]]]]], [64,88,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1,6,1]], [[],[2,1],[3,1,6,1]], [[],[2,1],[3,1,6,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1,3,1],[3,1],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1,6,1],[6,1],[3,1]]]]], [64,89,"(C8 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1,3,1,5,1]], [[],[2,1,3,1,5,1],[]], [[],[2,1,3,1,5,1],[]]]]], [64,90,"C2 x (((C4 x C2) : C2) : C2)",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]], [[[1,1,2,1,4,1,5,1]], [[1,1,2,1,4,1,5,1],[4,1,5,1],[]], [[1,1,2,1,4,1,5,1],[4,1,5,1],[]]], [[[1,1],[3,1,6,1]], [[1,1],[5,1],[3,1,6,1]], [[1,1],[5,1],[3,1,6,1]]], [[[1,1],[3,1,6,1]], [[1,1],[5,1],[3,1,6,1]], [[1,1],[3,1,5,1,6,1],[3,1,6,1]]], [[[1,1],[3,1,6,1]], [[1,1],[],[3,1,6,1]], [[1,1],[],[3,1,6,1]]], [[[1,1],[3,1,6,1]], [[1,1],[],[3,1,6,1]], [[1,1],[3,1,6,1],[3,1,6,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[6,1]], [[1,1],[2,1],[]]]]], [64,91,"(((C4 x C2) : C2) : C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]]]], [64,92,"C2 x ((C8 : C2) : C2)",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1],[2,1,3,1],[]]], [[[1,1,3,1,6,1],[2,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1,3,1,6,1],[6,1]], [[1,1,3,1],[2,1,3,1],[]]]]], [64,93,"C2 x (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2))", [[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1],[]]], [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1,6,1],[6,1]]]]], [64,94,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,95,"C2 x ((C8 x C2) : C2)",[[1,1],[2,1],[3,1]],[ [[[2,1,5,1]], [[2,1,5,1],[2,1,5,1],[]], [[2,1,5,1],[2,1,5,1],[]]], [[[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]]], [[[2,1],[3,1,6,1]], [[2,1,3,1,6,1],[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,5,1],[2,1],[5,1]]], [[[2,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1],[6,1]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1],[6,1]], [[1,1,3,1,5,1],[2,1],[5,1]]]]], [64,96,"C2 x (Q8 : C4)",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[5,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[6,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[5,1,6,1]]]]], [64,97,"(C8 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1,5,1]], [[2,1,5,1],[2,1,5,1],[]], [[2,1,5,1],[2,1,5,1],[]]]]], [64,98,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,99,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1,4,1,5,1]], [[2,1],[2,1],[3,1,4,1,5,1]], [[2,1],[2,1],[3,1,4,1,5,1]]]]], [64,100,"(Q8 : C4) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,101,"C2 x ((C4 x C4) : C2)",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[2,1],[2,1],[]], [[2,1],[2,1],[]]], [[[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]]], [[[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]], [[2,1,3,1,6,1],[2,1],[3,1,6,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[6,1]], [[1,1],[2,1],[]]]]], [64,102,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1,4,1,5,1,6,1]], [[2,1],[2,1],[3,1,4,1,5,1,6,1]], [[2,1],[2,1],[3,1,4,1,5,1,6,1]]]]], [64,103,"C2 x (C4 : C8)",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1]], [[1,1],[],[6,1]], [[1,1],[],[]]], [[[1,1]], [[1,1],[6,1],[]], [[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[3,1],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[6,1],[3,1]], [[1,1],[],[3,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1],[2,1,3,1],[]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1,4,1],[2,1,3,1,4,1],[4,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1,6,1],[2,1,3,1,6,1],[6,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1,4,1,6,1],[2,1,3,1,4,1,6,1],[4,1,6,1]]]]], [64,104,"(C4 : C8) : C2",[[1,1],[2,1],[3,1]],[ [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1,6,1],[6,1],[3,1]]], [[[3,1],[1,1,2,1,3,1,5,1]], [[1,1,2,1,3,1,5,1],[3,1,5,1,6,1],[3,1]], [[1,1,2,1,6,1],[6,1],[3,1]]]]], [64,105,"(C4 : C8) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,106,"C2 x (C8 : C4)",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[5,1,6,1]], [[1,1,2,1],[],[]]], [[[1,1,2,1,5,1,6,1]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[]], [[1,1,2,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[5,1],[3,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,5,1],[2,1],[5,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,6,1],[2,1],[6,1]]]]], [64,107,"C2 x (C8 : C4)",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[5,1]]], [[[1,1,2,1,5,1]], [[1,1,2,1,5,1],[5,1],[]], [[1,1,2,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[3,1],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[5,1],[3,1]], [[1,1],[],[3,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,5,1],[2,1],[5,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,6,1],[2,1],[6,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,5,1,6,1],[2,1],[5,1,6,1]]]]], [64,108,"(C8 : C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[5,1,6,1]]], [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[5,1,6,1]]]]], [64,109,"(C8 : C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1],[3,1,6,1]], [[1,1],[],[3,1,6,1]], [[1,1],[],[3,1,6,1]]], [[[1,1],[3,1,6,1]], [[1,1],[],[3,1,6,1]], [[1,1],[5,1],[3,1,6,1]]]]], [64,110,"C2 x (C4 . D8 = C4 . (C4 x C2))",[[1,1],[2,1],[3,1]],[ [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1],[6,1]], [[1,1,3,1],[2,1],[]]]]], [64,111,"(C4 . D8 = C4 . (C4 x C2)) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,112,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[]], [[1,1,2,1],[],[]]], [[[1,1,2,1,6,1]], [[1,1,2,1,6,1],[6,1],[]], [[1,1,2,1],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[6,1]], [[1,1,2,1],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[6,1]], [[1,1,2,1,6,1],[6,1],[]]]]], [64,113,"(C4 : C8) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,114,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]]]], [64,115,"C8 x D8",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[],[]], [[1,1,3,1,5,1,6,1],[],[]]], [[[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[1,1,3,1,5,1,6,1],[]], [[1,1,3,1,5,1,6,1],[1,1,3,1,5,1,6,1],[]]], [[[2,1],[1,1,3,1,5,1]], [[1,1,3,1,5,1],[2,1],[]], [[1,1,3,1,5,1],[2,1],[]]], [[[2,1],[1,1,3,1,4,1,5,1]], [[1,1,3,1,4,1,5,1],[2,1],[4,1]], [[1,1,3,1,5,1],[2,1],[]]], [[[1,1],[3,1]], [[1,1],[1,1,3,1,5,1],[3,1]], [[1,1],[1,1,3,1,5,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[1,1,3,1,5,1],[3,1]], [[1,1],[1,1,3,1,5,1,6,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[6,1],[3,1]], [[1,1],[],[3,1]]]]], [64,116,"(C8 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1]], [[1,1,3,1],[],[]], [[1,1,3,1],[],[]]], [[[1,1,3,1],[2,1,6,1]], [[1,1,3,1],[2,1,6,1],[]], [[1,1,3,1],[2,1,6,1],[]]], [[[1,1,3,1],[2,1,6,1]], [[1,1,3,1],[2,1,6,1],[]], [[1,1,3,1,4,1],[2,1,6,1],[4,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[6,1],[3,1]]]]], [64,117,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1]], [[1,1,3,1],[1,1,3,1],[]], [[1,1,3,1],[1,1,3,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,4,1,6,1]], [[1,1,3,1,4,1,6,1],[2,1],[4,1,6,1]], [[1,1,3,1],[2,1],[]]], [[[2,1],[3,1]], [[2,1,3,1,5,1],[2,1],[3,1]], [[2,1,3,1,5,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[2,1,3,1,5,1,6,1],[2,1],[3,1]], [[2,1,3,1,5,1],[2,1],[3,1]]]]], [64,118,"C4 x D16",[[1,1],[2,1],[3,1]],[ [[[2,1,5,1]], [[2,1,5,1],[2,1,5,1],[]], [[2,1,5,1],[2,1,5,1],[]]], [[[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[2,1,3,1,5,1],[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,6,1],[2,1],[6,1]]]]], [64,119,"C4 x QD16",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1]], [[1,1,3,1],[1,1,3,1],[]], [[1,1,3,1],[1,1,3,1],[]]], [[[1,1],[3,1,6,1]], [[1,1],[1,1,3,1,6,1],[3,1,6,1]], [[1,1],[1,1,3,1,6,1],[3,1,6,1]]], [[[1,1],[3,1,6,1]], [[1,1],[1,1,3,1,6,1],[3,1,6,1]], [[1,1],[1,1,3,1,5,1,6,1],[3,1,6,1]]], [[[1,1,3,1],[2,1,5,1]], [[1,1,3,1],[2,1,5,1],[]], [[1,1,3,1],[2,1,5,1],[]]], [[[2,1,5,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1,5,1],[6,1]], [[1,1,3,1],[2,1,5,1],[]]]]], [64,120,"C4 x Q16",[[1,1],[2,1],[3,1]],[ [[[2,1,5,1,6,1],[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[]]], [[[1,1,3,1,5,1],[2,1,5,1,6,1]], [[1,1,3,1,5,1],[2,1,5,1,6,1],[6,1]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[]]]]], [64,121,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[2,1,3,1,5,1],[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]]]]], [64,122,"Q16 : C4",[[1,1],[2,1],[3,1]],[ ]], [64,123,"(C4 x D8) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1,6,1]], [[2,1,3,1,6,1],[2,1],[3,1,6,1]], [[2,1,3,1,6,1],[2,1],[3,1,6,1]]], [[[2,1],[3,1,6,1]], [[2,1,3,1,5,1],[2,1],[3,1,6,1]], [[2,1,3,1,6,1],[2,1],[3,1,6,1]]]]], [64,124,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1,5,1]], [[1,1,3,1,5,1],[1,1,3,1,5,1],[]], [[1,1,3,1,5,1],[1,1,3,1,5,1],[]]]]], [64,125,"((C4 x C4) : C2) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,126,"C8 x Q8",[[1,1],[2,1],[3,1]],[ [[[2,1],[1,1,3,1,5,1]], [[1,1,3,1,5,1],[2,1],[4,1]], [[1,1,3,1,5,1],[2,1],[4,1]]], [[[2,1],[1,1,3,1,4,1,5,1]], [[1,1,3,1,4,1,5,1],[2,1],[]], [[1,1,3,1,5,1],[2,1],[4,1]]]]], [64,127,"C8 : Q8",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1],[2,1,6,1]], [[1,1,3,1],[2,1,6,1],[]], [[1,1,3,1],[2,1,6,1],[]]], [[[2,1,6,1],[1,1,3,1,4,1]], [[1,1,3,1,4,1],[2,1,6,1],[4,1]], [[1,1,3,1],[2,1,6,1],[]]]]], [64,128,"(C2 x C2 x D8) : C2",[[1,1],[2,1],[3,1]],[ [[[3,1],[2,1,5,1]], [[2,1,5,1],[2,1,5,1],[3,1]], [[2,1,5,1],[2,1,5,1],[3,1]]], [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[]], [[1,1],[2,1,3,1,5,1],[]]], [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[]], [[1,1],[2,1,3,1,5,1,6,1],[6,1]]]]], [64,129,"(C2 x C2 x Q8) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,3,1]], [[1,1],[2,1,3,1],[]], [[1,1],[2,1,3,1],[]]], [[[1,1],[2,1,3,1,6,1]], [[1,1],[2,1,3,1,6,1],[6,1]], [[1,1],[2,1,3,1],[]]]]], [64,130,"(C2 x D16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,131,"(C2 x QD16) : C2",[[1,1],[2,1],[3,1]],[ [[[3,1],[2,1,5,1]], [[2,1,5,1],[2,1,5,1],[3,1]], [[2,1,5,1],[2,1,5,1],[3,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[6,1]], [[1,1],[2,1,5,1],[]]]]], [64,132,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[]], [[1,1],[2,1,3,1,5,1],[]]], [[[1,1],[2,1,3,1,5,1]], [[1,1],[2,1,3,1,5,1],[]], [[1,1],[2,1,3,1,5,1,6,1],[6,1]]]]], [64,133,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,134,"((C4 x C4) : C2) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1]], [[3,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[3,1,5,1],[3,1]], [[1,1],[5,1],[3,1]]]]], [64,135,"((C4 x C4) : C2) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,136,"((C4 x C4) : C2) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1]], [[3,1],[2,1],[3,1]], [[3,1],[2,1],[3,1]]]]], [64,137,"((C4 x C4) : C2) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,138,"(((C4 x C2) : C2) : C2) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[4,1]], [[1,1],[2,1],[4,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]]]], [64,139,"(((C4 x C2) : C2) : C2) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]]]], [64,140,"(C4 x D8) : C2",[[1,1],[2,1],[3,1]],[ [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1,6,1],[6,1],[3,1]]]]], [64,141,"(C2 x QD16) : C2",[[1,1],[2,1],[3,1]],[ [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1,6,1],[6,1],[3,1]]]]], [64,142,"(Q8 : C4) : C2",[[1,1],[2,1],[3,1]],[ [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1,6,1],[6,1],[3,1]]]]], [64,143,"C4 : Q16",[[1,1],[2,1],[3,1]],[ [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1]], [[1,1,2,1],[],[3,1]]], [[[3,1],[1,1,2,1,6,1]], [[1,1,2,1,6,1],[6,1],[3,1]], [[1,1,2,1],[],[3,1]]]]], [64,144,"(C4 x D8) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,145,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,146,"(C8 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[5,1],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[]], [[1,1],[2,1],[6,1]]]]], [64,147,"(C8 x C2 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[3,1]], [[1,1],[5,1],[3,1]], [[1,1],[],[3,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[6,1]]]]], [64,148,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[6,1]], [[1,1],[2,1,5,1],[]]]]], [64,149,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1],[3,1,6,1]], [[1,1],[],[3,1,6,1]], [[1,1],[],[3,1,6,1]]], [[[1,1],[3,1,6,1]], [[1,1],[5,1],[3,1,6,1]], [[1,1],[],[3,1,6,1]]]]], [64,150,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1,2,1],[3,1,6,1]], [[1,1,2,1],[],[3,1,6,1]], [[1,1,2,1],[],[3,1,6,1]]], [[[3,1,6,1],[1,1,2,1,5,1,6,1]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[3,1,6,1]], [[1,1,2,1],[],[3,1,6,1]]]]], [64,151,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,152,"(C2 x QD16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,153,"(C2 x D16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,154,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,155,"(C8 : C4) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,156,"Q8 : Q8",[[1,1],[2,1],[3,1]],[ ]], [64,157,"(C8 : C4) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,158,"Q8 : Q8",[[1,1],[2,1],[3,1]],[ ]], [64,159,"(C8 : C4) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,160,"(C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)", [[1,1],[2,1],[3,1]],[ ]], [64,161,"(C2 x (C4 : C4)) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,162,"(C2 x (C4 : C4)) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,163,"((C8 x C2) : C2) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,164,"(Q8 : C4) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,165,"(Q8 : C4) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,166,"(C8 : C4) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,167,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]]]], [64,168,"(C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)", [[1,1],[2,1],[3,1]],[ ]], [64,169,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]]]], [64,170,"(Q8 : C4) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,171,"((C8 x C2) : C2) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,172,"(C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)", [[1,1],[2,1],[3,1]],[ ]], [64,173,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1,4,1,6,1]], [[1,1],[],[3,1,4,1,6,1]], [[1,1],[],[3,1,4,1,6,1]]], [[[1,1],[3,1,4,1,6,1]], [[1,1],[],[3,1,4,1,6,1]], [[1,1],[5,1,6,1],[3,1,4,1,6,1]]], [[[1,1],[3,1,4,1,6,1]], [[1,1],[],[3,1,4,1,6,1]], [[1,1],[3,1,4,1,5,1],[3,1,4,1,5,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1,6,1],[4,1]]], [[[1,1],[2,1,5,1]], [[1,1],[2,1,5,1],[]], [[1,1],[2,1,5,1],[6,1]]]]], [64,174,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[],[3,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[5,1,6,1],[3,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[3,1,4,1],[3,1,4,1,5,1,6,1]]], [[[1,1,3,1],[2,1,3,1,5,1]], [[1,1,3,1],[2,1,3,1,5,1],[]], [[1,1,3,1],[2,1,3,1,5,1],[]]], [[[1,1,3,1],[2,1,3,1,5,1]], [[1,1,3,1],[2,1,3,1,5,1],[]], [[1,1,3,1,6,1],[2,1,3,1,5,1,6,1],[6,1]]], [[[2,1,3,1,4,1],[1,1,3,1,4,1,5,1,6,1]], [[1,1,3,1,4,1,5,1,6,1],[2,1,3,1,4,1],[4,1,5,1]], [[1,1,3,1,6,1],[2,1,3,1,5,1,6,1],[6,1]]]]], [64,175,"C4 : Q16",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1],[2,1,5,1]], [[1,1,3,1],[2,1,5,1],[]], [[1,1,3,1],[2,1,5,1],[]]], [[[2,1,5,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1,5,1],[6,1]], [[1,1,3,1,4,1,6,1],[2,1,5,1,6,1],[4,1]]], [[[2,1,5,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1,5,1],[6,1]], [[1,1,3,1],[2,1,5,1],[]]]]], [64,176,"(C8 x C4) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[],[]], [[1,1],[],[]]]]], [64,177,"(C2 x D16) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[],[3,1,4,1]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1]], [[1,1],[5,1,6,1],[3,1,4,1]]]]], [64,178,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,179,"C8 : Q8",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[]], [[1,1],[2,1,6,1],[]]], [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[]], [[1,1],[2,1,6,1],[4,1]]], [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[2,1,6,1]], [[1,1],[2,1,6,1],[4,1]]]]], [64,180,"(C2 x C2) . (C2 x D8) = (C4 x C2) . (C2 x C2 x C2)", [[1,1],[2,1],[3,1]],[ ]], [64,181,"C8 : Q8",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[]], [[1,1],[2,1,6,1],[]]], [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[]], [[1,1],[2,1,6,1],[2,1,6,1]]], [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[]], [[1,1],[2,1,6,1],[4,1]]]]], [64,182,"C8 : Q8",[[1,1],[2,1],[3,1]],[ [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[]], [[1,1],[2,1,6,1],[]]], [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[]], [[1,1],[2,1,6,1],[4,1]]]]], [64,183,"C16 x C2 x C2",[[1,1],[2,1],[3,1]],[ [[[3,1]], [[],[],[3,1]], [[],[],[3,1]]], [[[3,1]], [[],[3,1],[3,1]], [[],[],[3,1]]], [[[3,1]], [[3,1],[],[3,1]], [[],[],[3,1]]], [[[2,1,6,1],[3,1]], [[],[2,1,6,1],[3,1]], [[],[2,1,6,1],[3,1]]], [[[2,1,6,1],[3,1]], [[],[2,1,6,1],[3,1]], [[2,1,6,1],[2,1,6,1],[3,1]]], [[[1,1,5,1]], [[1,1],[],[]], [[1,1],[],[]]], [[[1,1,5,1]], [[1,1],[],[]], [[1,1],[6,1],[]]], [[[2,1,6,1],[1,1,3,1,5,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1,6,1],[1,1,3,1,5,1]], [[1,1,3,1],[2,1],[]], [[1,1,2,1,3,1,6,1],[2,1],[2,1,6,1]]], [[[2,1,6,1],[1,1,2,1,3,1,5,1]], [[1,1,2,1,3,1],[2,1],[2,1]], [[1,1,2,1,3,1,6,1],[2,1],[2,1,6,1]]]]], [64,184,"C2 x (C16 : C2)",[[1,1],[2,1],[3,1]],[ [[[2,1]], [[],[2,1],[]], [[],[2,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1]], [[],[2,1],[3,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1],[2,1,3,1],[]]], [[[1,1,3,1,6,1],[2,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1,3,1,6,1],[6,1]], [[1,1,3,1],[2,1,3,1],[]]]]], [64,185,"(C16 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[3,1]], [[],[],[3,1]], [[],[],[3,1]]]]], [64,186,"C2 x D32",[[1,1],[2,1],[3,1]],[ [[[1,1,3,1]], [[1,1,3,1],[1,1,3,1],[]], [[1,1,3,1],[1,1,3,1],[]]], [[[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]]], [[[2,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1]], [[2,1,3,1,6,1],[2,1],[3,1,6,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1,6,1],[2,1],[6,1]]]]], [64,187,"C2 x QD32",[[1,1],[2,1],[3,1]],[ [[[2,1,3,1]], [[2,1,3,1],[2,1,3,1],[]], [[2,1,3,1],[2,1,3,1],[]]], [[[2,1],[3,1]], [[2,1],[2,1],[3,1]], [[2,1],[2,1],[3,1]]], [[[2,1],[3,1]], [[2,1],[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1],[2,1,3,1],[]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[]], [[1,1,3,1,6,1],[2,1,3,1,6,1],[6,1]]]]], [64,188,"C2 x Q32",[[1,1],[2,1],[3,1]],[ [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[]], [[1,1,3,1],[2,1],[]]], [[[2,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1],[6,1]], [[1,1,3,1],[2,1],[]]]]], [64,189,"(C16 x C2) : C2",[[1,1],[2,1],[3,1]],[ [[[1,1]], [[1,1],[1,1],[]], [[1,1],[1,1],[]]]]], [64,190,"(C2 x D16) : C2",[[1,1],[2,1],[3,1]],[ [[[2,1],[3,1]], [[2,1],[2,1],[3,1]], [[2,1],[2,1],[3,1]]]]], [64,191,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1]],[ ]], [64,192,"C4 x C4 x C2 x C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1]], [[],[],[3,1],[]], [[],[],[3,1],[]]], [[[3,1]], [[],[],[3,1],[]], [[],[],[3,1],[3,1]]], [[[3,1]], [[],[],[3,1],[]], [[3,1],[],[3,1],[]]], [[[1,1]], ## 5 <a> [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[5,1],[]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[5,1],[],[]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[1,1],[],[]]], [[[3,1],[4,1]], ## 9 <c,d> [[],[],[3,1],[4,1]], [[],[],[3,1],[4,1]]], [[[3,1],[4,1]], [[],[],[3,1],[4,1]], [[3,1],[],[3,1],[4,1]]], [[[3,1],[4,1]], [[],[],[3,1],[4,1]], [[3,1],[4,1],[3,1],[4,1]]], [[[1,1],[3,1]], ## 12 <a,c> [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[5,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[1,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[1,1],[3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[5,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[5,1],[3,1],[3,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[3,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[3,1],[3,1],[5,1]]], [[[1,1],[2,1]], ## 21 <a,b> [[1,1],[2,1],[],[]], [[1,1],[2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[5,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[5,1],[6,1]]], [[[1,1],[3,1],[4,1]], ## 24 <a,c,d> [[1,1],[],[3,1],[4,1]], [[1,1],[],[3,1],[4,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1]], [[1,1],[1,1],[3,1],[4,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1]], [[1,1],[5,1],[3,1],[4,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1]], [[1,1],[3,1],[3,1],[4,1]]], [[[1,1],[2,1],[3,1]], ## 28 <a,b,c> [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[3,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[5,1]]]]], [64,193,"C2 x C2 x ((C4 x C2) : C2)",[[1,1],[2,1],[3,1],[4,1] ],[ [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[],[]]], [[[2,1],[4,1,5,1,6,1]], [[],[2,1],[],[4,1,5,1,6,1]], [[],[2,1],[],[4,1,5,1,6,1]]], [[[2,1],[4,1,5,1,6,1]], [[],[2,1],[],[4,1,5,1,6,1]], [[4,1,5,1,6,1],[2,1],[4,1,5,1,6,1], [4,1,5,1,6,1]]], [[[2,1],[4,1,5,1,6,1]], [[],[2,1],[],[4,1,5,1,6,1]], [[4,1,5,1,6,1],[2,1],[],[4,1,5,1,6,1]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[6,1],[],[6,1]]], [[[1,1]], [[1,1],[],[],[6,1]], [[1,1],[6,1],[],[6,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1],[]], [[1,1,2,1],[],[3,1],[]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1],[]], [[1,1,2,1],[],[3,1],[3,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1],[]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[3,1],[5,1,6,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1],[]], [[1,1,2,1,3,1],[3,1],[3,1],[]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1],[]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[3,1], [3,1,5,1,6,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1],[]], [[1,1,2,1,3,1,5,1,6,1],[3,1,5,1,6,1],[3,1], [5,1,6,1]]], [[[3,1],[1,1,2,1]], [[1,1,2,1],[],[3,1],[5,1,6,1]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[3,1],[5,1,6,1]]], [[[2,1],[3,1,6,1],[4,1,5,1]], [[],[2,1],[3,1,6,1],[4,1,5,1]], [[],[2,1],[3,1,6,1],[4,1,5,1]]], [[[2,1],[3,1,6,1],[4,1,5,1]], [[3,1,6,1],[2,1],[3,1,6,1],[4,1,5,1]], [[],[2,1],[3,1,6,1],[4,1,5,1]]], [[[2,1],[1,1,4,1]], [[1,1,4,1],[2,1],[],[]], [[1,1,4,1],[2,1],[],[]]], [[[2,1],[1,1,4,1]], [[1,1,4,1],[2,1],[],[]], [[1,1,4,1,5,1],[2,1],[],[5,1]]], [[[2,1],[1,1,4,1]], [[1,1,4,1],[2,1],[6,1],[]], [[1,1,4,1],[2,1],[5,1],[]]], [[[2,1],[1,1,4,1]], [[1,1,4,1],[2,1],[],[]], [[1,1,4,1,6,1],[2,1],[5,1,6,1],[6,1]]], [[[1,1],[4,1],[3,1,5,1]], [[1,1],[],[3,1,5,1],[4,1]], [[1,1],[],[3,1,5,1],[4,1]]], [[[1,1],[4,1],[3,1,5,1]], [[1,1],[4,1],[3,1,5,1],[4,1]], [[1,1],[],[3,1,5,1],[4,1]]], [[[1,1],[4,1],[3,1,5,1]], [[1,1],[6,1],[3,1,5,1],[4,1]], [[1,1],[],[3,1,5,1],[4,1]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,3,1,4,1,6,1],[3,1],[3,1,6,1]]], [[[1,1],[3,1],[2,1,4,1,5,1]], [[1,1],[2,1,4,1,5,1],[3,1],[5,1]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1,6,1],[3,1],[6,1]]]]], [64,194,"C2 x C2 x (C4 : C4)",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[],[]], [[1,1,2,1],[],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[],[]], [[1,1,2,1],[],[],[6,1]]], [[[1,1,2,1]], [[1,1,2,1],[],[],[]], [[1,1,2,1,6,1],[6,1],[],[]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[],[4,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[6,1],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[4,1],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[4,1,6,1],[6,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[6,1],[4,1,6,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[6,1],[],[4,1]], [[1,1],[],[],[4,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[]], [[1,1,3,1],[2,1],[],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[5,1]], [[1,1,3,1],[2,1],[],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[]], [[1,1,3,1,6,1],[2,1],[6,1],[6,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[]], [[1,1,3,1,5,1,6,1],[2,1],[5,1,6,1],[5,1,6,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[5,1]], [[1,1,3,1,6,1],[2,1],[6,1],[6,1]]], [[[1,1],[4,1],[3,1,5,1]], [[1,1],[],[3,1,5,1],[4,1]], [[1,1],[],[3,1,5,1],[4,1]]], [[[1,1],[4,1],[3,1,5,1]], [[1,1],[],[3,1,5,1],[4,1]], [[1,1],[4,1],[3,1,5,1],[4,1]]], [[[1,1],[4,1],[3,1,5,1]], [[1,1],[],[3,1,5,1],[4,1]], [[1,1],[6,1],[3,1,5,1],[4,1]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,3,1,4,1],[3,1],[3,1]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1,5,1],[3,1],[5,1]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1,6,1],[3,1],[6,1]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1,5,1,6,1],[3,1],[5,1,6,1]]]]], [64,195,"C2 x ((C4 x C4) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[],[]], [[1,1,2,1],[],[],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[],[]], [[1,1,2,1],[],[5,1,6,1],[5,1,6,1]]], [[[1,1,2,1,5,1,6,1]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[],[]], [[1,1,2,1],[],[5,1,6,1],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[],[]], [[1,1,2,1],[],[5,1,6,1],[]]], [[[1,1,2,1]], [[1,1,2,1],[],[],[]], [[1,1,2,1,5,1,6,1],[5,1,6,1],[],[]]], [[[2,1],[4,1,5,1,6,1]], [[],[2,1],[],[4,1,5,1,6,1]], [[],[2,1],[],[4,1,5,1,6,1]]], [[[2,1],[4,1,5,1,6,1]], [[2,1],[2,1],[],[4,1,5,1,6,1]], [[2,1],[2,1],[4,1,5,1,6,1],[4,1,5,1,6,1]]], [[[2,1],[4,1,5,1,6,1]], [[],[2,1],[],[4,1,5,1,6,1]], [[4,1,5,1,6,1],[2,1],[],[4,1,5,1,6,1]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[4,1,6,1],[4,1,6,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[4,1],[4,1]], [[1,1],[6,1],[4,1,6,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[4,1],[],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[4,1],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[4,1],[4,1]], [[1,1],[4,1,6,1],[4,1,6,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[4,1],[],[4,1]], [[1,1],[4,1,6,1],[4,1,6,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[6,1],[],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[6,1],[4,1]], [[1,1],[4,1,6,1],[4,1,6,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[6,1],[4,1]], [[1,1],[],[],[4,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1,6,1]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]], [[1,1,4,1,5,1,6,1],[2,1],[3,1],[5,1,6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,5,1,6,1],[2,1],[3,1],[5,1,6,1]]]]], [64,196,"C2 x C4 x D8",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1]], [[2,1],[2,1],[],[]], [[2,1],[2,1],[],[]]], [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[],[]]], [[[2,1,6,1],[4,1,5,1,6,1]], [[],[2,1,6,1],[],[4,1,5,1,6,1]], [[],[2,1,6,1],[],[4,1,5,1,6,1]]], [[[2,1,6,1],[4,1,5,1,6,1]], [[],[2,1,6,1],[],[4,1,5,1,6,1]], [[],[2,1,6,1],[4,1,5,1,6,1],[4,1,5,1,6,1]]], [[[2,1,6,1],[4,1,5,1,6,1]], [[4,1,5,1,6,1],[2,1,6,1],[],[4,1,5,1,6,1]], [[],[2,1,6,1],[],[4,1,5,1,6,1]]], [[[2,1,6,1],[4,1,5,1,6,1]], [[4,1,5,1,6,1],[2,1,6,1],[],[4,1,5,1,6,1]], [[],[2,1,6,1],[4,1,5,1,6,1],[4,1,5,1,6,1]]], [[[2,1,6,1],[4,1,5,1,6,1]], [[2,1,6,1],[2,1,6,1],[],[4,1,5,1,6,1]], [[2,1,6,1],[2,1,6,1],[],[4,1,5,1,6,1]]], [[[2,1,6,1],[4,1,5,1,6,1]], [[2,1,4,1,5,1],[2,1,6,1],[],[4,1,5,1,6,1]], [[2,1,4,1,5,1],[2,1,6,1],[4,1,5,1,6,1], [4,1,5,1,6,1]]], [[[2,1,6,1],[4,1,5,1,6,1]], [[2,1,6,1],[2,1,6,1],[],[4,1,5,1,6,1]], [[2,1,4,1,5,1],[2,1,6,1],[4,1,5,1,6,1], [4,1,5,1,6,1]]], [[[2,1,6,1],[4,1,5,1,6,1]], [[2,1,6,1],[2,1,6,1],[],[4,1,5,1,6,1]], [[2,1,4,1,5,1],[2,1,6,1],[],[4,1,5,1,6,1]]], [[[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1],[]], [[2,1,3,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[2,1,3,1],[2,1],[3,1],[]], [[2,1,3,1],[2,1],[3,1],[6,1]]], [[[2,1],[3,1]], [[2,1,3,1,6,1],[2,1],[3,1],[]], [[2,1,3,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[]], [[3,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[]], [[3,1,6,1],[2,1],[3,1],[6,1]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[6,1]], [[3,1,6,1],[2,1],[3,1],[6,1]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[]], [[1,1,3,1],[2,1],[],[]]], [[[2,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[5,1]], [[1,1,3,1],[2,1],[],[]]], [[[2,1],[1,1,3,1,5,1]], [[1,1,3,1,5,1],[2,1],[5,1],[]], [[1,1,3,1],[2,1],[],[]]], [[[2,1],[4,1],[3,1,5,1]], [[3,1,5,1],[2,1],[3,1,5,1],[4,1]], [[3,1,5,1],[2,1],[3,1,5,1],[4,1]]], [[[2,1],[4,1],[3,1,5,1]], [[3,1,5,1],[2,1],[3,1,5,1],[4,1]], [[3,1,4,1,5,1],[2,1],[3,1,5,1],[4,1]]], [[[2,1],[4,1],[3,1,5,1]], [[3,1,5,1],[2,1],[3,1,5,1],[4,1]], [[3,1,5,1,6,1],[2,1],[3,1,5,1],[4,1]]], [[[2,1],[4,1],[3,1,5,1]], [[2,1,3,1,5,1],[2,1],[3,1,5,1],[4,1]], [[2,1,3,1,5,1],[2,1],[3,1,5,1],[4,1]]], [[[2,1],[4,1],[3,1,5,1]], [[2,1,3,1,4,1,5,1],[2,1],[3,1,5,1],[4,1]], [[2,1,3,1,5,1],[2,1],[3,1,5,1],[4,1]]], [[[2,1],[4,1],[3,1,5,1]], [[2,1,3,1,5,1,6,1],[2,1],[3,1,5,1],[4,1]], [[2,1,3,1,5,1],[2,1],[3,1,5,1],[4,1]]], [[[2,1],[4,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[4,1]], [[1,1,3,1],[2,1],[],[4,1]]], [[[2,1],[4,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[4,1]], [[1,1,3,1,4,1],[2,1],[4,1],[4,1]]], [[[2,1],[4,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[4,1]], [[1,1,3,1,5,1],[2,1],[5,1],[4,1]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1,5,1],[3,1],[5,1]]], [[[1,1],[3,1],[2,1,4,1,6,1]], [[1,1],[2,1,4,1,6,1],[3,1],[6,1]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1,6,1]], [[1,1],[2,1,4,1,6,1],[3,1],[6,1]], [[1,1],[2,1,4,1,5,1],[3,1],[5,1]]]]], [64,197,"C2 x C4 x Q8",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1,5,1,6,1],[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[],[]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[],[]]], [[[2,1,5,1,6,1],[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[],[]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[],[5,1]]], [[[1,1,3,1,6,1],[2,1,5,1,6,1]], [[1,1,3,1,6,1],[2,1,5,1,6,1],[5,1],[]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[],[]]], [[[1,1,3,1,6,1],[2,1,5,1,6,1],[4,1,5,1,6,1]], [[1,1,3,1,6,1],[2,1,5,1,6,1],[5,1], [4,1,5,1,6,1]], [[1,1,3,1,6,1],[2,1,5,1,6,1],[5,1], [4,1,5,1,6,1]]], [[[2,1,5,1,6,1],[4,1,5,1,6,1],[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[2,1,5,1,6,1],[], [4,1,5,1,6,1]], [[1,1,3,1,6,1],[2,1,5,1,6,1],[5,1], [4,1,5,1,6,1]]], [[[1,1,3,1,6,1],[2,1,5,1,6,1],[4,1,5,1,6,1]], [[1,1,3,1,6,1],[2,1,5,1,6,1],[5,1], [4,1,5,1,6,1]], [[1,1,3,1,4,1],[2,1,5,1,6,1],[4,1,5,1,6,1], [4,1,5,1,6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,5,1],[2,1],[3,1],[5,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,5,1,6,1],[2,1],[3,1],[5,1,6,1]]]]], [64,198,"C4 x ((C4 x C2) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[]], [[3,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[]], [[3,1,6,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[6,1]], [[3,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[6,1]], [[3,1,6,1],[2,1],[3,1],[]]], [[[2,1,6,1],[4,1,6,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1,6,1],[],[4,1,6,1]], [[1,1,3,1,6,1],[2,1,6,1],[],[4,1,6,1]]], [[[2,1,6,1],[4,1,6,1],[1,1,3,1,5,1,6,1]], [[1,1,3,1,5,1,6,1],[2,1,6,1],[5,1],[4,1,6,1]], [[1,1,3,1,6,1],[2,1,6,1],[],[4,1,6,1]]], [[[4,1,6,1],[1,1,3,1,4,1],[2,1,5,1,6,1]], [[1,1,3,1,4,1],[2,1,5,1,6,1],[4,1,6,1], [4,1,5,1,6,1]], [[1,1,3,1,6,1],[2,1,6,1],[],[4,1,6,1]]]]], [64,199,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1],[4,1,6,1]], [[2,1],[2,1],[],[4,1,6,1]], [[4,1,6,1],[2,1],[4,1,6,1],[4,1,6,1]]], [[[2,1],[4,1,6,1]], [[],[2,1],[],[4,1,6,1]], [[],[2,1],[],[4,1,6,1]]], [[[2,1],[4,1,6,1]], [[2,1],[2,1],[2,1],[4,1,6,1]], [[2,1],[2,1],[2,1],[4,1,6,1]]], [[[2,1],[4,1,6,1]], [[2,1],[2,1],[2,1,4,1,6,1],[4,1,6,1]], [[4,1,6,1],[2,1],[2,1],[4,1,6,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[6,1]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[6,1],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[3,1],[]], [[1,1],[3,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[3,1],[6,1]], [[1,1],[3,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1,6,1],[3,1],[]], [[1,1],[3,1],[3,1],[]]]]], [64,200,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,201,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[3,1],[3,1],[]], [[1,1],[3,1,6,1],[3,1],[6,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[6,1],[3,1],[6,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[6,1],[3,1],[]]]]], [64,202,"C2 x ((C2 x C2 x C2 x C2) : C2)",[[1,1],[2,1],[3,1], [4,1]],[ [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[]], [[3,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[],[2,1],[3,1],[]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[4,1],[],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1,4,1],[2,1,6,1]], [[1,1,4,1],[2,1,6,1],[],[]], [[1,1,4,1],[2,1,6,1],[],[]]], [[[2,1,6,1],[1,1,4,1,5,1]], [[1,1,4,1,5,1],[2,1,6,1],[],[5,1]], [[1,1,4,1],[2,1,6,1],[],[]]], [[[1,1,4,1],[2,1,6,1]], [[1,1,4,1],[2,1,6,1],[5,1],[]], [[1,1,4,1],[2,1,6,1],[],[]]], [[[1,1,4,1],[2,1,6,1]], [[1,1,4,1],[2,1,6,1],[],[]], [[1,1,4,1,5,1],[2,1,5,1,6,1],[2,1,6,1],[5,1]]], [[[2,1],[4,1,5,1],[3,1,5,1,6,1]], [[2,1],[2,1],[3,1,5,1,6,1],[4,1,5,1]], [[2,1],[2,1],[3,1,5,1,6,1],[4,1,5,1]]], [[[2,1],[4,1,5,1],[3,1,5,1,6,1]], [[2,1],[2,1],[3,1,5,1,6,1],[4,1,5,1]], [[2,1,4,1,5,1],[2,1],[3,1,5,1,6,1],[4,1,5,1]]], [[[2,1],[4,1,5,1],[3,1,5,1,6,1]], [[],[2,1],[3,1,5,1,6,1],[4,1,5,1]], [[],[2,1],[3,1,5,1,6,1],[4,1,5,1]]], [[[2,1],[4,1,5,1],[3,1,5,1,6,1]], [[4,1,5,1],[2,1],[3,1,5,1,6,1],[4,1,5,1]], [[],[2,1],[3,1,5,1,6,1],[4,1,5,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[],[4,1]], [[1,1],[2,1],[],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[],[4,1]], [[1,1],[2,1],[2,1,5,1],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[],[4,1]], [[1,1],[2,1],[4,1],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[],[4,1]], [[1,1],[2,1],[5,1],[4,1]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1,5,1]], [[1,1],[2,1,4,1,5,1],[3,1],[5,1]], [[1,1],[2,1,4,1],[3,1],[]]]]], [64,203,"C2 x ((C4 x C2 x C2) : C2)",[[1,1],[2,1],[3,1],[4,1] ],[ [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1],[4,1,5,1,6,1]], [[1,1],[],[],[4,1,5,1,6,1]], [[1,1],[],[],[4,1,5,1,6,1]]], [[[1,1],[4,1,5,1,6,1]], [[1,1],[],[],[4,1,5,1,6,1]], [[1,1],[4,1,5,1,6,1],[4,1,5,1,6,1],[4,1,5,1,6,1] ]], [[[1,1],[4,1,5,1,6,1]], [[1,1],[4,1,5,1,6,1],[],[4,1,5,1,6,1]], [[1,1],[4,1,5,1,6,1],[4,1,5,1,6,1],[4,1,5,1,6,1] ]], [[[1,1],[4,1,5,1,6,1]], [[1,1],[],[4,1,5,1,6,1],[4,1,5,1,6,1]], [[1,1],[4,1,5,1,6,1],[4,1,5,1,6,1],[4,1,5,1,6,1] ]], [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[],[]], [[1,1],[2,1,6,1],[],[]]], [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[],[5,1]], [[1,1],[2,1,6,1],[5,1],[5,1]]], [[[1,1],[2,1,6,1]], [[1,1],[2,1,6,1],[],[]], [[1,1],[2,1,6,1],[5,1],[5,1]]], [[[1,1,2,1],[3,1,5,1]], [[1,1,2,1],[],[3,1,5,1],[]], [[1,1,2,1],[],[3,1,5,1],[]]], [[[1,1,2,1],[3,1,5,1]], [[1,1,2,1],[],[3,1,5,1],[]], [[1,1,2,1,6,1],[6,1],[3,1,5,1],[]]], [[[1,1,2,1],[3,1,5,1]], [[1,1,2,1],[],[3,1,5,1],[]], [[1,1,2,1,6,1],[6,1],[3,1,5,1],[6,1]]], [[[3,1],[1,1,2,1],[4,1,5,1]], [[1,1,2,1],[],[3,1],[4,1,5,1]], [[1,1,2,1],[],[3,1],[4,1,5,1]]], [[[3,1],[4,1,5,1],[1,1,2,1,6,1]], [[1,1,2,1,6,1],[6,1],[3,1],[4,1,5,1]], [[1,1,2,1],[],[3,1],[4,1,5,1]]], [[[3,1],[1,1,2,1],[4,1,5,1]], [[1,1,2,1],[],[3,1],[4,1,5,1]], [[1,1,2,1,4,1,5,1,6,1],[4,1,5,1,6,1],[3,1], [4,1,5,1]]], [[[1,1],[4,1],[2,1,6,1]], [[1,1],[2,1,6,1],[],[4,1]], [[1,1],[2,1,6,1],[],[4,1]]], [[[1,1],[4,1],[2,1,6,1]], [[1,1],[2,1,6,1],[],[4,1]], [[1,1],[2,1,6,1],[4,1,5,1],[4,1]]], [[[1,1],[4,1],[2,1,6,1]], [[1,1],[2,1,6,1],[4,1],[4,1]], [[1,1],[2,1,6,1],[4,1,5,1],[4,1]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1,5,1],[3,1],[5,1]]], [[[1,1],[3,1],[2,1,4,1,6,1]], [[1,1],[2,1,4,1,6,1],[3,1],[6,1]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1,6,1]], [[1,1],[2,1,4,1,6,1],[3,1],[6,1]], [[1,1],[2,1,4,1,5,1],[3,1],[5,1]]]]], [64,204,"C2 x ((C2 x Q8) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,4,1],[2,1,6,1]], [[1,1,4,1],[2,1,6,1],[],[]], [[1,1,4,1],[2,1,6,1],[],[]]], [[[1,1,4,1],[2,1,6,1]], [[1,1,4,1],[2,1,6,1],[5,1],[]], [[1,1,4,1],[2,1,6,1],[],[]]], [[[2,1,6,1],[1,1,4,1,5,1]], [[1,1,4,1,5,1],[2,1,6,1],[],[5,1]], [[1,1,4,1],[2,1,6,1],[],[]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,6,1],[5,1],[4,1,6,1]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,6,1],[4,1,6,1],[4,1,6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,5,1],[2,1],[3,1],[5,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,5,1,6,1],[2,1],[3,1],[5,1,6,1]]]]], [64,205,"C2 x ((C4 x C2 x C2) : C2)",[[1,1],[2,1],[3,1],[4,1] ],[ [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[],[],[4,1]]], [[[1,1],[4,1]], [[1,1],[],[],[4,1]], [[1,1],[],[4,1],[4,1]]], [[[1,1],[4,1]], [[1,1],[4,1],[],[4,1]], [[1,1],[],[4,1],[4,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,5,1],[2,1],[3,1],[5,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]]]]], [64,206,"(C4 x C2 x C2 x C2) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,2,1,4,1]], [[1,1,2,1,4,1],[],[],[]], [[1,1,2,1,4,1],[],[],[]]], [[[2,1],[3,1]], [[3,1],[2,1],[3,1],[]], [[3,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[],[2,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[6,1]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[6,1],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[6,1],[3,1],[]], [[1,1],[],[3,1],[6,1]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[5,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,5,1,6,1],[2,1,5,1,6,1],[4,1,5,1,6,1] ]]]], [64,207,"C2 x ((C4 x C4) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,2,1,3,1,4,1]], [[1,1,2,1,3,1,4,1],[],[],[]], [[1,1,2,1,3,1,4,1],[],[],[]]], [[[1,1],[4,1,6,1]], [[1,1],[],[],[4,1,6,1]], [[1,1],[],[],[4,1,6,1]]], [[[1,1],[4,1,6,1]], [[1,1],[],[],[4,1,6,1]], [[1,1],[4,1,6,1],[4,1,6,1],[4,1,6,1]]], [[[1,1],[4,1,6,1]], [[1,1],[],[],[4,1,6,1]], [[1,1],[],[4,1,6,1],[4,1,6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,5,1,6,1],[2,1],[3,1],[5,1,6,1]]]]], [64,208,"C2 x ((C2 x C2) . (C2 x C2 x C2))",[[1,1],[2,1],[3,1], [4,1]],[ [[[2,1],[1,1,4,1],[3,1,4,1]], [[1,1,4,1],[2,1],[3,1,4,1],[]], [[1,1,4,1],[2,1],[3,1,4,1],[]]], [[[2,1],[1,1,4,1],[3,1,4,1]], [[1,1,4,1],[2,1],[3,1,4,1],[]], [[1,1,4,1,5,1],[2,1],[3,1,4,1,5,1],[5,1]]], [[[2,1],[1,1,4,1],[3,1,4,1]], [[1,1,4,1],[2,1],[3,1,4,1],[]], [[1,1,4,1,5,1,6,1],[2,1],[3,1,4,1,5,1,6,1], [5,1,6,1]]]]], [64,209,"C2 x ((C4 x C4) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1],[4,1,5,1,6,1]], [[1,1],[],[],[4,1,5,1,6,1]], [[1,1],[],[],[4,1,5,1,6,1]]], [[[1,1],[4,1,5,1,6,1]], [[1,1],[],[],[4,1,5,1,6,1]], [[1,1],[4,1,5,1,6,1],[4,1,5,1,6,1], [4,1,5,1,6,1]]], [[[2,1],[1,1,4,1],[3,1,4,1]], [[1,1,4,1],[2,1],[3,1,4,1],[]], [[1,1,4,1],[2,1],[3,1,4,1],[]]], [[[2,1],[1,1,4,1],[3,1,4,1]], [[1,1,4,1],[2,1],[3,1,4,1],[]], [[1,1,4,1,5,1,6,1],[2,1],[3,1,4,1,5,1,6,1], [5,1,6,1]]]]], [64,210,"(C4 x C4 x C2) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]]]], [64,211,"C2 x ((C4 x C4) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,2,1]], [[1,1,2,1],[],[],[]], [[1,1,2,1],[],[],[]]], [[[1,1,3,1],[4,1,5,1]], [[1,1,3,1],[],[],[4,1,5,1]], [[1,1,3,1],[],[],[4,1,5,1]]], [[[1,1,3,1],[4,1,5,1]], [[1,1,3,1],[],[],[4,1,5,1]], [[1,1,3,1],[4,1,5,1],[],[4,1,5,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[],[]], [[1,1,3,1],[2,1,3,1],[],[]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[],[]], [[1,1,3,1,5,1,6,1],[2,1,3,1,5,1,6,1],[5,1,6,1], []]], [[[2,1,3,1],[1,1,2,1,5,1]], [[1,1,2,1,5,1],[],[2,1,3,1],[]], [[1,1,2,1,6,1],[5,1,6,1],[2,1,3,1,5,1,6,1], [5,1,6,1]]], [[[2,1,3,1],[1,1,2,1,5,1]], [[1,1,2,1,5,1],[],[2,1,3,1],[]], [[1,1,3,1,5,1,6,1],[2,1,3,1,5,1,6,1],[5,1,6,1], []]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[],[4,1]], [[1,1],[2,1],[],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[5,1],[4,1]], [[1,1],[2,1],[],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[4,1],[4,1]], [[1,1],[2,1],[2,1],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[4,1],[4,1]], [[1,1],[2,1],[],[4,1]]], [[[1,1,4,1],[2,1,4,1],[3,1,4,1]], [[1,1,4,1],[2,1,4,1],[3,1,4,1],[]], [[1,1,4,1],[2,1,4,1],[3,1,4,1],[]]], [[[1,1,4,1,6,1],[2,1,4,1,6,1],[3,1,4,1,6,1]], [[1,1,4,1,6,1],[2,1,4,1,6,1],[3,1,4,1,6,1], [6,1]], [[1,1,4,1],[2,1,4,1],[3,1,4,1],[]]]]], [64,212,"C2 x (C4 : Q8)",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1],[],[]], [[1,1],[2,1,4,1],[],[]]], [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1],[],[]], [[1,1],[2,1,4,1],[5,1],[]]], [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1],[],[]], [[1,1],[2,1,4,1,5,1],[5,1],[5,1]]], [[[1,1],[2,1,4,1]], [[1,1],[2,1,4,1],[],[]], [[1,1],[2,1,4,1],[2,1,4,1],[]]], [[[1,1,3,1],[2,1,6,1],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]]], [[[1,1,3,1],[2,1,6,1],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]], [[1,1,3,1,5,1],[2,1,6,1],[5,1],[4,1,6,1]]], [[[1,1,3,1],[2,1,6,1],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]], [[1,1,2,1,3,1,4,1,5,1],[2,1,5,1,6,1],[2,1,4,1], [4,1,5,1,6,1]]], [[[1,1,3,1],[2,1,6,1],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]], [[1,1,3,1,4,1,5,1,6,1],[2,1,6,1],[4,1,5,1,6,1], [4,1,6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,5,1],[2,1],[3,1],[5,1]]], [[[2,1],[3,1],[1,1,4,1,6,1]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]], [[1,1,4,1,5,1],[2,1],[3,1],[5,1]]]]], [64,213,"(C4 x C4 x C2) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,2,1,4,1]], [[1,1,2,1,4,1],[],[],[]], [[1,1,2,1,4,1],[],[],[]]], [[[1,1],[3,1,5,1]], [[1,1],[],[3,1,5,1],[]], [[1,1],[],[3,1,5,1],[]]], [[[1,1],[3,1,5,1]], [[1,1],[],[3,1,5,1],[6,1]], [[1,1],[6,1],[3,1,5,1],[6,1]]], [[[1,1],[3,1,5,1]], [[1,1],[],[3,1,5,1],[]], [[1,1],[6,1],[3,1,5,1],[6,1]]], [[[1,1],[3,1,5,1]], [[1,1],[],[3,1,5,1],[]], [[1,1],[],[3,1,5,1],[6,1]]], [[[1,1,3,1],[2,1,6,1],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]]], [[[1,1,3,1],[2,1,6,1],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]], [[1,1,3,1,5,1],[2,1,6,1],[5,1],[4,1,6,1]]], [[[1,1,3,1],[2,1,6,1],[4,1,6,1]], [[1,1,3,1],[2,1,6,1],[],[4,1,6,1]], [[1,1,2,1,3,1,4,1],[2,1,5,1,6,1],[2,1,4,1,5,1], [4,1,5,1,6,1]]]]], [64,214,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[6,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[6,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[6,1],[3,1],[6,1]]]]], [64,215,"(C2 x C2 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1],[4,1,5,1,6,1]], [[3,1],[],[3,1],[4,1,5,1,6,1]], [[3,1],[],[3,1],[4,1,5,1,6,1]]], [[[3,1],[4,1,5,1,6,1]], [[],[4,1,5,1,6,1],[3,1],[4,1,5,1,6,1]], [[],[4,1,5,1,6,1],[3,1],[4,1,5,1,6,1]]], [[[3,1],[4,1,5,1,6,1]], [[4,1,5,1,6,1],[4,1,5,1,6,1],[3,1], [4,1,5,1,6,1]], [[4,1,5,1,6,1],[4,1,5,1,6,1],[3,1], [4,1,5,1,6,1]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1],[]], [[1,1],[],[3,1,4,1],[]]], [[[1,1],[3,1,4,1]], [[1,1],[],[3,1,4,1],[]], [[1,1],[5,1,6,1],[3,1,4,1,5,1,6,1],[5,1,6,1]]], [[[1,1],[3,1,4,1]], [[1,1],[5,1,6,1],[3,1,4,1],[]], [[1,1],[5,1,6,1],[3,1,4,1,5,1,6,1],[5,1,6,1]]]]], [64,216,"(C2 x C2 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1],[4,1,5,1,6,1]], [[],[4,1,5,1,6,1],[3,1],[4,1,5,1,6,1]], [[],[4,1,5,1,6,1],[3,1],[4,1,5,1,6,1]]], [[[3,1],[4,1,5,1,6,1]], [[3,1],[],[3,1],[4,1,5,1,6,1]], [[3,1],[],[3,1],[4,1,5,1,6,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[6,1]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[6,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[6,1],[3,1],[6,1]]]]], [64,217,"(C2 x C2 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,218,"(C2 x ((C4 x C2) : C2)) : C2",[[1,1],[2,1],[3,1], [4,1]],[ [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[6,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[6,1]]]]], [64,219,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1],[4,1,5,1]], [[3,1],[],[3,1],[4,1,5,1]], [[3,1],[],[3,1],[4,1,5,1]]], [[[3,1],[4,1,5,1]], [[3,1,4,1,5,1],[],[3,1],[4,1,5,1]], [[3,1,4,1,5,1],[],[3,1],[4,1,5,1]]]]], [64,220,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,221,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,222,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,223,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,224,"((C2 x Q8) : C2) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1,4,1],[1,1,2,1,4,1]], [[1,1,2,1,4,1],[],[3,1,4,1],[]], [[1,1,2,1,4,1],[],[3,1,4,1],[]]], [[[3,1,4,1],[1,1,2,1,4,1]], [[1,1,2,1,4,1],[],[3,1,4,1],[]], [[1,1,2,1,4,1,6,1],[],[3,1,4,1,6,1],[6,1]]]]], [64,225,"(C4 : Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[6,1],[3,1],[]], [[1,1],[],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[]], [[1,1],[],[3,1],[6,1]]]]], [64,226,"D8 x D8",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,4,1],[2,1,6,1]], [[1,1,2,1,4,1,5,1,6,1],[2,1,6,1],[1,1,4,1], [2,1,6,1]], [[1,1,2,1,4,1,5,1,6,1],[2,1,6,1],[1,1,4,1], [2,1,6,1]]], [[[1,1,4,1],[2,1,6,1]], [[1,1,4,1],[2,1,6,1],[1,1,4,1],[]], [[1,1,4,1],[2,1,6,1],[1,1,4,1],[]]], [[[1,1,4,1],[2,1,6,1]], [[1,1,4,1],[2,1,6,1],[],[]], [[1,1,4,1],[2,1,6,1],[],[]]], [[[3,1,4,1],[1,1,2,1,4,1]], [[3,1,4,1,5,1,6,1],[1,1,2,1,4,1],[],[3,1,4,1]], [[1,1,2,1,4,1],[],[3,1,4,1],[]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[1,1,4,1],[4,1]], [[1,1],[2,1],[1,1,4,1],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[1,1,4,1],[4,1]], [[1,1],[2,1],[1,1,4,1,5,1],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[],[4,1]], [[1,1],[2,1],[],[4,1]]], [[[1,1],[2,1],[4,1]], [[1,1],[2,1],[5,1],[4,1]], [[1,1],[2,1],[],[4,1]]]]], [64,227,"(C2 x C2 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1,5,1],[4,1,6,1]], [[3,1,4,1,5,1,6,1],[],[3,1,5,1],[4,1,6,1]], [[3,1,4,1,5,1,6,1],[],[3,1,5,1],[4,1,6,1]]], [[[3,1,5,1],[4,1,6,1]], [[4,1,6,1],[4,1,6,1],[3,1,5,1],[4,1,6,1]], [[4,1,6,1],[4,1,6,1],[3,1,5,1],[4,1,6,1]]], [[[3,1,5,1],[4,1,6,1]], [[4,1,6,1],[],[3,1,5,1],[4,1,6,1]], [[4,1,6,1],[],[3,1,5,1],[4,1,6,1]]], [[[3,1,5,1],[4,1,6,1]], [[3,1,4,1,5,1,6,1],[4,1,6,1],[3,1,5,1], [4,1,6,1]], [[3,1,4,1,5,1,6,1],[4,1,6,1],[3,1,5,1], [4,1,6,1]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,6,1],[5,1],[4,1,6,1]]]]], [64,228,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1],[4,1],[2,1,6,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]]], [[[3,1],[4,1],[2,1,6,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]], [[3,1,4,1,5,1],[2,1,6,1],[3,1],[4,1]]]]], [64,229,"(C2 x C2 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]]], [[[1,1],[2,1,6,1],[4,1,6,1]], [[1,1],[2,1,6,1],[],[4,1,6,1]], [[1,1],[2,1,6,1],[5,1],[4,1,6,1]]]]], [64,230,"Q8 x D8",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1],[4,1],[2,1,6,1]], [[4,1],[2,1,6,1],[3,1],[4,1]], [[4,1],[2,1,6,1],[3,1],[4,1]]], [[[3,1],[4,1],[2,1,6,1]], [[4,1],[2,1,6,1],[3,1],[4,1]], [[4,1,5,1],[2,1,6,1],[3,1],[4,1]]], [[[3,1],[4,1],[2,1,6,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]]], [[[3,1],[4,1],[2,1,6,1]], [[3,1,4,1,5,1],[2,1,6,1],[3,1],[4,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]]]]], [64,231,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1],[4,1],[2,1,6,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]]], [[[3,1],[4,1],[2,1,6,1]], [[3,1,4,1],[2,1,6,1],[3,1],[4,1]], [[3,1,4,1,5,1],[2,1,6,1],[3,1],[4,1]]]]], [64,232,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1,5,1],[4,1,6,1]], [[4,1,6,1],[],[3,1,5,1],[4,1,6,1]], [[4,1,6,1],[],[3,1,5,1],[4,1,6,1]]], [[[3,1,5,1],[4,1,6,1]], [[4,1,6,1],[4,1,6,1],[3,1,5,1],[4,1,6,1]], [[4,1,6,1],[4,1,6,1],[3,1,5,1],[4,1,6,1]]], [[[3,1,5,1],[4,1,6,1]], [[3,1,4,1,5,1,6,1],[4,1,6,1],[3,1,5,1], [4,1,6,1]], [[3,1,4,1,5,1,6,1],[4,1,6,1],[3,1,5,1], [4,1,6,1]]]]], [64,233,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,234,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,235,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,236,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,237,"(C4 x Q8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,238,"Q8 : Q8",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,239,"Q8 x Q8",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1,3,1],[1,1,2,1,5,1]], [[1,1,2,1,5,1],[],[2,1,3,1],[]], [[1,1,3,1],[2,1,3,1],[],[1,1,3,1]]]]], [64,240,"(C4 x D8) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,241,"((C4 x C2 x C2) : C2) : C2",[[1,1],[2,1],[3,1],[4,1] ],[ [[[3,1],[4,1,5,1,6,1]], [[3,1],[3,1],[3,1],[4,1,5,1,6,1]], [[3,1],[3,1],[3,1],[4,1,5,1,6,1]]], [[[3,1],[4,1,5,1,6,1]], [[4,1,5,1,6,1],[],[3,1],[4,1,5,1,6,1]], [[4,1,5,1,6,1],[],[3,1],[4,1,5,1,6,1]]]]], [64,242,"((C4 x C4) : C2) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,3,1,4,1],[2,1,4,1,5,1]], [[2,1,4,1,5,1],[],[1,1,3,1,4,1],[2,1,4,1,5,1]], [[2,1,4,1,5,1],[],[1,1,3,1,4,1],[2,1,4,1,5,1]]], [[[1,1,3,1,4,1],[2,1,4,1,5,1]], [[1,1,3,1,4,1],[2,1,4,1,5,1],[],[]], [[1,1,3,1,4,1],[2,1,4,1,5,1],[],[]]]]], [64,243,"((C2 x C2) . (C2 x C2 x C2)) : C2",[[1,1],[2,1],[3,1], [4,1]],[ ]], [64,244,"((C4 x C4) : C2) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,245,"(C2 x C2) . (C2 x C2 x C2 x C2)",[[1,1],[2,1],[3,1], [4,1]],[ ]], [64,246,"C8 x C2 x C2 x C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[],[]]], [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[2,1],[]]], [[[2,1]], [[],[2,1],[],[]], [[2,1],[2,1],[],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[],[2,1],[3,1],[3,1]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[2,1],[2,1],[3,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[]], [[2,1],[2,1],[3,1],[3,1]]], [[[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1]]], [[[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1]], [[2,1],[2,1],[3,1],[4,1]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[],[],[]]], [[[1,1]], [[1,1],[],[],[]], [[1,1],[6,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[2,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[6,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[2,1],[6,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[6,1],[6,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[3,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[]], [[1,1],[2,1],[3,1],[6,1]]]]], [64,247,"C2 x C2 x (C8 : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1,4,1]], [[],[2,1,4,1],[],[]], [[],[2,1,4,1],[],[]]], [[[2,1],[4,1,6,1]], [[],[2,1],[],[4,1,6,1]], [[],[2,1],[],[4,1,6,1]]], [[[2,1],[4,1,6,1]], [[],[2,1],[4,1,6,1],[4,1,6,1]], [[4,1,6,1],[2,1],[],[4,1,6,1]]], [[[2,1],[4,1,6,1]], [[],[2,1],[],[4,1,6,1]], [[4,1,6,1],[2,1],[],[4,1,6,1]]], [[[2,1],[3,1,6,1],[4,1,6,1]], [[],[2,1],[3,1,6,1],[4,1,6,1]], [[],[2,1],[3,1,6,1],[4,1,6,1]]], [[[2,1],[3,1,6,1],[4,1,6,1]], [[],[2,1],[3,1,6,1],[4,1,6,1]], [[4,1,6,1],[2,1],[3,1,6,1],[4,1,6,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[],[]], [[1,1,3,1],[2,1,3,1],[],[]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[],[6,1]], [[1,1,3,1],[2,1,3,1],[],[]]], [[[1,1],[2,1,3,1],[3,1,4,1]], [[1,1],[2,1,3,1],[],[3,1,4,1]], [[1,1],[2,1,3,1],[],[3,1,4,1]]], [[[1,1],[2,1,3,1,6,1],[3,1,4,1,6,1]], [[1,1],[2,1,3,1,6,1],[6,1],[3,1,4,1,6,1]], [[1,1],[2,1,3,1],[],[3,1,4,1]]], [[[1,1],[2,1,4,1],[3,1,4,1]], [[1,1],[2,1,4,1],[3,1,4,1],[]], [[1,1],[2,1,3,1],[],[3,1,4,1]]]]], [64,248,"C2 x ((C8 x C2) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1]], [[],[2,1],[],[]], [[],[2,1],[],[]]], [[[4,1],[2,1,3,1,5,1]], [[],[],[2,1,3,1,5,1],[4,1]], [[],[],[2,1,3,1,5,1],[4,1]]], [[[4,1],[2,1,3,1,5,1]], [[4,1],[],[2,1,3,1,5,1],[4,1]], [[],[4,1],[2,1,3,1,4,1,5,1],[4,1]]], [[[4,1],[2,1,3,1,5,1]], [[4,1],[],[2,1,3,1,5,1],[4,1]], [[4,1],[4,1],[2,1,3,1,4,1,5,1],[4,1]]], [[[4,1],[2,1,3,1,5,1]], [[4,1],[],[2,1,3,1,5,1],[4,1]], [[],[],[2,1,3,1,5,1],[4,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]]]]], [64,249,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[3,1],[4,1]], [[],[],[3,1],[4,1]], [[],[],[3,1],[4,1]]], [[[3,1],[4,1]], [[3,1],[],[3,1],[4,1]], [[],[4,1],[3,1],[4,1]]]]], [64,250,"C2 x C2 x D16",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1,3,1,4,1]], [[2,1,3,1,4,1],[2,1,3,1,4,1],[],[]], [[2,1,3,1,4,1],[2,1,3,1,4,1],[],[]]], [[[4,1],[2,1,3,1]], [[2,1,3,1],[2,1,3,1],[],[4,1]], [[2,1,3,1],[2,1,3,1],[],[4,1]]], [[[4,1],[2,1,3,1]], [[2,1,3,1],[2,1,3,1],[],[4,1]], [[2,1,3,1],[2,1,3,1,4,1],[4,1],[4,1]]], [[[4,1],[2,1,3,1]], [[2,1,3,1],[2,1,3,1],[],[4,1]], [[2,1,3,1,4,1],[2,1,3,1],[],[4,1]]], [[[2,1],[3,1],[4,1]], [[2,1],[2,1],[3,1],[4,1]], [[2,1],[2,1],[3,1],[4,1]]], [[[2,1],[3,1],[4,1]], [[2,1],[2,1],[3,1],[4,1]], [[2,1,3,1,4,1],[2,1],[3,1],[4,1]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[]], [[1,1],[2,1],[6,1],[]]], [[[1,1],[3,1],[2,1,4,1]], [[1,1],[2,1,4,1],[3,1],[]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,3,1,4,1]], [[1,1],[2,1,3,1,4,1],[3,1],[3,1]], [[1,1],[2,1,4,1],[3,1],[]]], [[[1,1],[3,1],[2,1,4,1,6,1]], [[1,1],[2,1,4,1,6,1],[3,1],[6,1]], [[1,1],[2,1,4,1],[3,1],[]]]]], [64,251,"C2 x C2 x QD16",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1]], [[2,1],[2,1],[],[]], [[2,1],[2,1],[],[]]], [[[2,1],[4,1]], [[2,1],[2,1],[],[4,1]], [[2,1],[2,1],[],[4,1]]], [[[2,1],[4,1]], [[2,1],[2,1],[],[4,1]], [[2,1,4,1],[2,1],[4,1],[4,1]]], [[[2,1],[4,1]], [[2,1],[2,1],[],[4,1]], [[2,1,4,1],[2,1],[],[4,1]]], [[[2,1],[3,1],[4,1]], [[2,1],[2,1],[3,1],[4,1]], [[2,1],[2,1],[3,1],[4,1]]], [[[2,1],[3,1],[4,1]], [[2,1],[2,1],[3,1],[4,1]], [[2,1,3,1],[2,1],[3,1],[4,1]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[],[]], [[1,1,3,1],[2,1,3,1],[],[]]], [[[1,1,3,1],[2,1,3,1]], [[1,1,3,1],[2,1,3,1],[],[]], [[1,1,3,1,6,1],[2,1,3,1,6,1],[6,1],[6,1]]], [[[1,1],[2,1,3,1],[3,1,4,1]], [[1,1],[2,1,3,1],[],[3,1,4,1]], [[1,1],[2,1,3,1],[],[3,1,4,1]]], [[[1,1],[2,1,3,1],[3,1,4,1]], [[1,1],[2,1,3,1],[],[3,1,4,1]], [[1,1],[2,1,3,1,6,1],[6,1],[3,1,4,1,6,1]]], [[[1,1],[2,1,4,1],[3,1,4,1]], [[1,1],[2,1,4,1],[3,1,4,1],[]], [[1,1],[2,1,3,1,6,1],[6,1],[3,1,4,1,6,1]]]]], [64,252,"C2 x C2 x Q16",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,4,1],[2,1,4,1]], [[1,1,4,1],[2,1,4,1],[],[]], [[1,1,4,1],[2,1,4,1],[],[]]], [[[1,1,4,1],[2,1,4,1]], [[1,1,4,1],[2,1,4,1],[],[]], [[1,1,4,1,6,1],[2,1,4,1,6,1],[],[6,1]]], [[[2,1],[4,1],[1,1,3,1]], [[1,1,3,1],[2,1],[],[4,1]], [[1,1,3,1],[2,1],[],[4,1]]], [[[2,1],[4,1],[1,1,3,1,4,1]], [[1,1,3,1,4,1],[2,1],[4,1],[4,1]], [[1,1,3,1],[2,1],[],[4,1]]], [[[2,1],[4,1],[1,1,3,1,6,1]], [[1,1,3,1,6,1],[2,1],[6,1],[4,1]], [[1,1,3,1],[2,1],[],[4,1]]]]], [64,253,"C2 x ((C8 x C2) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1,4,1]], [[1,1,4,1],[1,1,4,1],[],[]], [[1,1,4,1],[1,1,4,1],[],[]]], [[[2,1],[4,1,6,1]], [[2,1],[2,1],[],[4,1,6,1]], [[2,1],[2,1],[],[4,1,6,1]]], [[[2,1],[4,1,6,1]], [[2,1],[2,1],[],[4,1,6,1]], [[2,1],[2,1],[4,1,6,1],[4,1,6,1]]], [[[2,1],[4,1,6,1]], [[2,1],[2,1],[],[4,1,6,1]], [[2,1,4,1,6,1],[2,1],[],[4,1,6,1]]], [[[2,1],[4,1,6,1]], [[2,1],[2,1],[],[4,1,6,1]], [[2,1,4,1,6,1],[2,1],[4,1,6,1],[4,1,6,1]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]]]]], [64,254,"C2 x ((C2 x D8) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1],[3,1,4,1]], [[2,1],[2,1],[3,1,4,1],[]], [[2,1],[2,1],[3,1,4,1],[]]], [[[2,1],[4,1],[3,1,6,1]], [[2,1],[2,1],[3,1,6,1],[4,1]], [[2,1],[2,1],[3,1,6,1],[4,1]]], [[[2,1],[4,1],[3,1,6,1]], [[2,1,4,1],[2,1],[3,1,6,1],[4,1]], [[2,1],[2,1],[3,1,6,1],[4,1]]], [[[1,1],[2,1,4,1],[3,1,4,1]], [[1,1],[2,1,4,1],[3,1,4,1],[]], [[1,1],[2,1,4,1],[3,1,4,1],[]]], [[[1,1],[2,1,4,1],[3,1,4,1]], [[1,1],[2,1,4,1],[3,1,4,1],[]], [[1,1],[2,1,4,1,6,1],[3,1,4,1,6,1],[6,1]]]]], [64,255,"C2 x ((C2 x Q8) : C2)",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1],[2,1],[3,1],[]]], [[[2,1],[3,1],[1,1,4,1]], [[1,1,4,1],[2,1],[3,1],[]], [[1,1,4,1,6,1],[2,1],[3,1],[6,1]]]]], [64,256,"(C2 x (C8 : C2)) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[1,1],[3,1,4,1,5,1,6,1]], [[1,1],[1,1],[3,1,4,1,5,1,6,1],[]], [[1,1],[1,1],[3,1,4,1,5,1,6,1],[]]]]], [64,257,"(C2 x D16) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1],[4,1]], [[2,1],[2,1],[],[4,1]], [[2,1],[2,1],[],[4,1]]]]], [64,258,"(C2 x QD16) : C2",[[1,1],[2,1],[3,1],[4,1]],[ [[[2,1],[4,1]], [[2,1],[2,1],[],[4,1]], [[2,1],[2,1],[],[4,1]]]]], [64,259,"(C2 x Q16) : C2",[[1,1],[2,1],[3,1],[4,1]],[ ]], [64,260,"C4 x C2 x C2 x C2 x C2",[[1,1],[2,1],[3,1],[4,1], [5,1]],[ ### done by hand [[[2,1]], [[],[2,1],[],[],[]], [[],[2,1],[],[],[]]], [[[2,1]], [[],[2,1],[],[],[]], [[],[2,1],[2,1],[],[]]], [[[2,1]], [[],[2,1],[],[],[]], [[2,1],[2,1],[],[],[]]], [[[1,1]], [[1,1],[],[],[],[]], [[1,1],[],[],[],[]]], [[[1,1]], [[1,1],[],[],[],[]], [[1,1],[6,1],[],[],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[],[]], [[],[2,1],[3,1],[],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[],[]], [[2,1],[2,1],[3,1],[],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[],[]], [[],[2,1],[3,1],[3,1],[]]], [[[2,1],[3,1]], [[],[2,1],[3,1],[],[]], [[2,1],[2,1],[3,1],[3,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[2,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[6,1],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[2,1],[6,1],[]]], [[[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1],[]], [[],[2,1],[3,1],[4,1],[]]], [[[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1],[]], [[2,1],[2,1],[3,1],[4,1],[]]], [[[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1],[]], [[],[2,1],[3,1],[4,1],[4,1]]], [[[2,1],[3,1],[4,1]], [[],[2,1],[3,1],[4,1],[]], [[2,1],[2,1],[3,1],[4,1],[4,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[6,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[3,1],[6,1]]], [[[2,1],[3,1],[4,1],[5,1]], [[],[2,1],[3,1],[4,1],[5,1]], [[],[2,1],[3,1],[4,1],[5,1]]], [[[2,1],[3,1],[4,1],[5,1]], [[],[2,1],[3,1],[4,1],[5,1]], [[2,1],[2,1],[3,1],[4,1],[5,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[4,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[6,1]]]]], [64,261,"C2 x C2 x C2 x D8", ## done by hand [[1,1],[2,1],[3,1],[4,1],[5,1]],[ [[[1,1]], [[1,1],[],[],[],[]], [[1,1],[],[],[],[]]], [[[1,1]], [[1,1],[1,1],[],[],[]], [[1,1],[1,1],[],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[],[]], [[1,1],[],[3,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[],[]], [[1,1],[3,1],[3,1],[],[]]], [[[1,1],[3,1]], [[1,1],[],[3,1],[],[]], [[1,1],[],[3,1],[3,1],[]]], [[[1,1],[3,1]], [[1,1],[1,1],[3,1],[],[]], [[1,1],[1,1],[3,1],[],[]]], [[[1,1],[3,1]], [[1,1],[1,1],[3,1],[],[]], [[1,1],[1,1,3,1],[3,1],[],[]]], [[[1,1],[3,1]], [[1,1],[1,1],[3,1],[],[]], [[1,1],[1,1],[3,1],[3,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[6,1],[],[]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1],[]], [[1,1],[],[3,1],[4,1],[]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1],[]], [[1,1],[3,1],[3,1],[4,1],[]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1],[]], [[1,1],[],[3,1],[4,1],[3,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[],[3,1],[4,1],[]], [[1,1],[3,1],[3,1],[4,1],[4,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[1,1],[3,1],[4,1],[]], [[1,1],[1,1],[3,1],[4,1],[]]], [[[1,1],[3,1],[4,1]], [[1,1],[1,1],[3,1],[4,1],[]], [[1,1],[1,1,3,1],[3,1],[4,1],[]]], [[[1,1],[3,1],[4,1]], [[1,1],[1,1],[3,1],[4,1],[]], [[1,1],[1,1],[3,1],[4,1],[3,1]]], [[[1,1],[3,1],[4,1]], [[1,1],[1,1],[3,1],[4,1],[]], [[1,1],[1,1,3,1],[3,1],[4,1],[4,1]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[6,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[3,1],[6,1]]], [[[1,1],[3,1],[4,1],[5,1]], [[1,1],[],[3,1],[4,1],[5,1]], [[1,1],[],[3,1],[4,1],[5,1]]], [[[1,1],[3,1],[4,1],[5,1]], [[1,1],[],[3,1],[4,1],[5,1]], [[1,1],[3,1],[3,1],[4,1],[5,1]]], [[[1,1],[3,1],[4,1],[5,1]], [[1,1],[1,1],[3,1],[4,1],[5,1]], [[1,1],[1,1],[3,1],[4,1],[5,1]]], [[[1,1],[3,1],[4,1],[5,1]], [[1,1],[1,1],[3,1],[4,1],[5,1]], [[1,1],[1,1,3,1],[3,1],[4,1],[5,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[3,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[6,1]]]]], [64,262,"C2 x C2 x C2 x Q8", ### done partly by by hand [[1,1],[2,1],[3,1],[4,1],[5,1]],[ [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[]], [[1,1],[2,1],[6,1],[],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[3,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[6,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[]], [[1,1],[2,1],[3,1],[3,1],[6,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[4,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[]], [[1,1],[2,1],[3,1],[4,1],[6,1]]]]], [64,263,"C2 x C2 x ((C4 x C2) : C2)",[[1,1],[2,1],[3,1], [4,1],[5,1]],[ [[[1,1]], [[1,1],[],[],[],[]], [[1,1],[],[],[],[]]], [[[1,1,5,1],[4,1,5,1,6,1]], [[1,1,5,1],[],[],[4,1,5,1,6,1],[]], [[1,1,5,1],[],[],[4,1,5,1,6,1],[]]], [[[1,1,4,1,6,1],[4,1,5,1,6,1]], [[1,1,4,1,6,1],[],[],[],[4,1,5,1,6,1]], [[1,1,5,1],[],[],[4,1,5,1,6,1],[]]], [[[1,1,5,1],[4,1,5,1,6,1]], [[1,1,5,1],[],[4,1,5,1,6,1],[4,1,5,1,6,1],[]], [[1,1,5,1],[],[],[4,1,5,1,6,1],[]]], [[[1,1,5,1],[4,1,5,1,6,1]], [[1,1,5,1],[1,1,5,1],[],[4,1,5,1,6,1],[]], [[1,1,5,1],[1,1,4,1,6,1],[],[4,1,5,1,6,1],[]]], [[[1,1,5,1],[4,1,5,1,6,1]], [[1,1,5,1],[1,1,5,1],[],[4,1,5,1,6,1],[]], [[1,1,5,1],[1,1,5,1],[4,1,5,1,6,1], [4,1,5,1,6,1],[]]], [[[1,1],[4,1],[5,1]], [[1,1],[],[],[4,1],[5,1]], [[1,1],[],[],[4,1],[5,1]]], [[[1,1],[4,1],[5,1]], [[1,1],[],[],[4,1],[5,1]], [[1,1],[],[5,1],[4,1],[5,1]]], [[[1,1],[4,1],[5,1]], [[1,1],[],[4,1],[4,1],[5,1]], [[1,1],[5,1],[],[4,1],[5,1]]], [[[1,1],[4,1],[5,1]], [[1,1],[],[5,1],[4,1],[5,1]], [[1,1],[5,1],[],[4,1],[5,1]]], [[[1,1],[4,1],[5,1]], [[1,1],[],[],[4,1],[5,1]], [[1,1],[5,1],[],[4,1],[5,1]]], [[[1,1],[2,1],[3,1,5,1]], [[1,1],[2,1],[3,1,5,1],[],[]], [[1,1],[2,1],[3,1,5,1],[],[]]], [[[1,1],[2,1],[3,1,5,1]], [[1,1],[2,1],[3,1,5,1],[],[]], [[1,1],[2,1],[3,1,5,1],[6,1],[]]], [[[1,1],[2,1],[5,1],[3,1,4,1]], [[1,1],[2,1],[3,1,4,1],[],[5,1]], [[1,1],[2,1],[3,1,4,1],[],[5,1]]], [[[1,1],[2,1],[5,1],[3,1,4,1]], [[1,1],[2,1],[3,1,4,1],[],[5,1]], [[1,1],[2,1],[3,1,4,1,5,1,6,1],[5,1,6,1],[5,1] ]], [[[1,1],[2,1],[5,1],[3,1,4,1,5,1]], [[1,1],[2,1],[3,1,4,1,5,1],[5,1],[5,1]], [[1,1],[2,1],[3,1,4,1,5,1,6,1],[5,1,6,1],[5,1] ]]]], [64,264,"C2 x ((C2 x D8) : C2)", [[1,1],[2,1],[3,1],[4,1],[5,1]],[ [[[2,1],[4,1,5,1]], [[2,1],[2,1],[2,1],[4,1,5,1],[]], [[2,1],[2,1],[2,1],[4,1,5,1],[]]], [[[2,1],[4,1,5,1]], [[],[2,1],[],[4,1,5,1],[]], [[],[2,1],[],[4,1,5,1],[]]], [[[2,1],[4,1,5,1]], [[2,1,4,1,5,1],[2,1],[],[4,1,5,1],[]], [[],[2,1],[4,1,5,1],[4,1,5,1],[]]], [[[2,1],[4,1,5,1]], [[2,1],[2,1],[2,1,4,1,5,1],[4,1,5,1],[]], [[4,1,5,1],[2,1],[2,1],[4,1,5,1],[]]], [[[3,1],[4,1],[5,1]], [[],[],[3,1],[4,1],[5,1]], [[3,1,5,1],[4,1],[3,1],[4,1],[5,1]]], [[[3,1],[4,1],[5,1]], [[],[3,1,4,1],[3,1],[4,1],[5,1]], [[],[3,1,4,1],[3,1],[4,1],[5,1]]], [[[3,1],[4,1],[5,1]], [[4,1],[4,1],[3,1],[4,1],[5,1]], [[4,1,5,1],[4,1],[3,1],[4,1],[5,1]]], [[[3,1],[4,1],[5,1]], [[3,1,4,1],[],[3,1],[4,1],[5,1]], [[3,1,4,1,5,1],[5,1],[3,1],[4,1],[5,1]]], [[[3,1],[4,1],[5,1]], [[],[4,1],[3,1],[4,1],[5,1]], [[],[4,1],[3,1],[4,1],[5,1]]], [[[3,1],[4,1],[5,1]], [[3,1],[],[3,1],[4,1],[5,1]], [[3,1,5,1],[5,1],[3,1],[4,1],[5,1]]], [[[3,1],[4,1],[5,1]], [[4,1],[3,1],[3,1],[4,1],[5,1]], [[3,1,4,1,5,1],[3,1,4,1],[3,1],[4,1],[5,1]]], [[[2,1],[1,1,5,1],[3,1,5,1],[4,1,5,1]], [[1,1,5,1],[2,1],[3,1,5,1],[4,1,5,1],[]], [[1,1,5,1],[2,1],[3,1,5,1],[4,1,5,1],[]]], [[[2,1],[1,1,5,1,6,1],[3,1,5,1,6,1], [4,1,5,1,6,1]], [[1,1,5,1,6,1],[2,1],[3,1,5,1,6,1], [4,1,5,1,6,1],[6,1]], [[1,1,5,1],[2,1],[3,1,5,1],[4,1,5,1],[]]]]], [64,265,"C2 x ((C2 x Q8) : C2)",[[1,1],[2,1],[3,1],[4,1], [5,1]],[ [[[2,1],[1,1,5,1],[3,1,5,1],[4,1,5,1]], [[1,1,5,1],[2,1],[3,1,5,1],[4,1,5,1],[]], [[1,1,5,1],[2,1],[3,1,5,1],[4,1,5,1],[]]], [[[2,1],[1,1,5,1,6,1],[3,1,5,1,6,1], [4,1,5,1,6,1]], [[1,1,5,1,6,1],[2,1],[3,1,5,1,6,1], [4,1,5,1,6,1],[6,1]], [[1,1,5,1],[2,1],[3,1,5,1],[4,1,5,1],[]]]]], [64,266,"(C2 x ((C4 x C2) : C2)) : C2",[[1,1],[2,1],[3,1], [4,1],[5,1]],[ [[[3,1],[1,1,4,1,5,1]], [[1,1,4,1,5,1],[],[3,1],[],[]], [[1,1,4,1,5,1],[],[3,1],[],[]]], [[[3,1],[1,1,4,1,5,1]], [[],[],[3,1],[1,1,4,1,5,1],[]], [[3,1],[1,1,3,1,4,1,5,1],[3,1], [1,1,3,1,4,1,5,1],[]]]]], [64,267,"C2 x C2 x C2 x C2 x C2 x C2", ### done by hand [[1,1],[2,1],[3,1],[4,1],[5,1],[6,1]],[ [[[1,1]], [[1,1],[],[],[],[],[]], [[1,1],[],[],[],[],[]]], [[[1,1]], [[1,1],[],[],[],[],[]], [[1,1],[1,1],[],[],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[],[]], [[1,1],[2,1],[],[],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[],[]], [[1,1],[2,1],[1,1],[],[],[]]], [[[1,1],[2,1]], [[1,1],[2,1],[],[],[],[]], [[1,1],[2,1],[1,1],[2,1],[],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[],[]], [[1,1],[2,1],[3,1],[],[],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[],[]], [[1,1],[2,1],[3,1],[1,1],[],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[],[]], [[1,1],[2,1],[3,1],[1,1],[2,1],[]]], [[[1,1],[2,1],[3,1]], [[1,1],[2,1],[3,1],[],[],[]], [[1,1],[2,1],[3,1],[1,1],[2,1],[3,1]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[],[]], [[1,1],[2,1],[3,1],[4,1],[],[]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[],[]], [[1,1],[2,1],[3,1],[4,1],[1,1],[]]], [[[1,1],[2,1],[3,1],[4,1]], [[1,1],[2,1],[3,1],[4,1],[],[]], [[1,1],[2,1],[3,1],[4,1],[1,1],[2,1]]], [[[1,1],[2,1],[3,1],[4,1],[5,1]], [[1,1],[2,1],[3,1],[4,1],[5,1],[]], [[1,1],[2,1],[3,1],[4,1],[5,1],[]]], [[[1,1],[2,1],[3,1],[4,1],[5,1]], [[1,1],[2,1],[3,1],[4,1],[5,1],[]], [[1,1],[2,1],[3,1],[4,1],[5,1],[1,1]]]]], [65,1,"C65",[[ 1, 2, 2, 5 ]],[ [[[1,1]], [[1,2]], [[1,2]]], [[[2,1]], [[2,5]], [[2,5]]]]], [66,1,"C11 x S3",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [66,2,"C3 x D22",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]]]], [66,3,"D66",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [66,4,"C66",[[1,1,2,1,3,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]], [[[1,1,2,2]], [[1,1,2,1]], [[1,1,2,1]]], [[[3,1]], [[3,1]], [[3,1]]], [[[1,1,3,2]], [[1,1,3,1]], [[1,1,3,1]]], [[[2,1,3,3]], [[2,1,3,1]], [[2,1,3,1]]]]], [67,1,"C67",[[1,1]],[ ]], [68,1,"C17 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [68,2,"C68",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [68,3,"C17 : C4",[[1,1],[3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]]]], [68,4,"D68",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [68,5,"C34 x C2",[[2,1],[1,1,3,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1]], [[1,1],[1,1]], [[],[1,1]]], [[[1,1],[2,1]], [[2,1],[1,1]], [[2,1],[1,1]]], [[[3,1]], [[],[3,1]], [[],[3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[],[1,1,3,1]]], [[[1,1,3,1]], [[],[1,1,3,1]], [[1,1],[1,1,3,1]]]]], [69,1,"C69",[[1,1,2,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]]]], [70,1,"C7 x D10",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]]]], [70,2,"C5 x D14",[[3,1],[1,1,2,1]],[ [[[1,1]], [[],[1,1]], [[],[1,1]]], [[[1,1,2,1]], [[],[1,1,2,1]], [[],[1,1,2,1]]], [[[1,1],[3,1]], [[3,1],[1,1]], [[3,1],[1,1]]]]], [70,3,"D70",[[1,1],[2,1,3,1]],[ [[[1,1]], [[1,1],[]], [[1,1],[]]], [[[1,1],[2,1]], [[1,1],[2,1]], [[1,1],[2,1]]], [[[1,1],[3,1]], [[1,1],[3,1]], [[1,1],[3,1]]]]], [70,4,"C70",[[1,1,2,1,3,1]],[ [[[1,1]], [[1,1]], [[1,1]]], [[[2,1]], [[2,1]], [[2,1]]], [[[3,1]], [[3,1]], [[3,1]]], [[[1,1,2,2]], [[1,1,2,1]], [[1,1,2,1]]], [[[1,1,3,2]], [[1,1,3,1]], [[1,1,3,1]]], [[[ 2, 3, 3, 5 ]], [[2,1,3,1]], [[2,1,3,1]]]]] ]; CAT1_LIST_LOADED := true; # end of file cat1data.g