k6_g3 := List([1..14], i -> []);

k6_g3[8,1] := [ [ 2, 3, 4, 5, 7, 8 ], [ 1, 3, 5, 6, 7, 8 ], [ 1, 2, 4, 6, 7, 8 ], [ 1, 3, 5, 6, 7, 8 ], [ 1, 2, 4, 6, 7, 8 ], [ 2, 3, 4, 5, 7, 8 ], [ 1, 2, 3, 4, 5, 6 ], [ 1, 2, 3, 4, 5, 6 ] ];

k6_g3[9,1] := [ [ 2, 3, 4, 5, 6, 9 ], [ 1, 4, 5, 7, 8, 9 ], [ 1, 4, 6, 7, 8, 9 ], [ 1, 2, 3, 7, 8, 9 ], [ 1, 2, 6, 7, 8, 9 ], [ 1, 3, 5, 7, 8, 9 ], [ 2, 3, 4, 5, 6, 8 ], [ 2, 3, 4, 5, 6, 7 ], [ 1, 2, 3, 4, 5, 6 ] ];

k6_g3[10,1] := [ [ 3, 4, 5, 6, 7, 10 ], [ 4, 5, 6, 7, 8, 9 ], [ 1, 5, 6, 8, 9, 10 ], [ 1, 2, 5, 8, 9, 10 ], [ 1, 2, 3, 4, 8, 10 ], 
  [ 1, 2, 3, 7, 9, 10 ], [ 1, 2, 6, 8, 9, 10 ], [ 2, 3, 4, 5, 7, 9 ], [ 2, 3, 4, 6, 7, 8 ], [ 1, 3, 4, 5, 6, 7 ] ];

k6_g3[11,1] := [ [ 4, 5, 6, 7, 8, 11 ], [ 4, 5, 6, 7, 8, 11 ], [ 5, 6, 7, 8, 9, 10 ], [ 1, 2, 6, 9, 10, 11 ], [ 1, 2, 3, 9, 10, 11 ], 
  [ 1, 2, 3, 4, 9, 11 ], [ 1, 2, 3, 8, 10, 11 ], [ 1, 2, 3, 7, 9, 10 ], [ 3, 4, 5, 6, 8, 10 ], [ 3, 4, 5, 7, 8, 9 ], [ 1, 2, 4, 5, 6, 7 ] ];

k6_g3[12,1] := [ [ 5, 6, 7, 10, 11, 12 ], [ 5, 6, 7, 8, 9, 12 ], [ 5, 6, 7, 8, 9, 12 ], [ 6, 7, 8, 9, 10, 11 ], [ 1, 2, 3, 10, 11, 12 ], 
  [ 1, 2, 3, 4, 10, 11 ], [ 1, 2, 3, 4, 10, 12 ], [ 2, 3, 4, 9, 11, 12 ], [ 2, 3, 4, 8, 10, 11 ], [ 1, 4, 5, 6, 7, 9 ], [ 1, 4, 5, 6, 8, 9 ], [ 1, 2, 3, 5, 7, 8 ] ];

k6_g3[13,1] := [ [ 6, 7, 8, 11, 12, 13 ], [ 6, 7, 8, 11, 12, 13 ], [ 6, 7, 8, 9, 10, 13 ], [ 6, 7, 8, 9, 10, 13 ], [ 7, 8, 9, 10, 11, 12 ], 
  [ 1, 2, 3, 4, 11, 13 ], [ 1, 2, 3, 4, 5, 12 ], [ 1, 2, 3, 4, 5, 11 ], [ 3, 4, 5, 10, 12, 13 ], [ 3, 4, 5, 9, 11, 12 ], [ 1, 2, 5, 6, 8, 10 ], [ 1, 2, 5, 7, 9, 10 ], [ 1, 2, 3, 4, 6, 9 ] ];

k6_g3[14,1] := [ [ 7, 10, 11, 12, 13, 14 ], [ 7, 8, 9, 12, 13, 14 ], [ 7, 8, 9, 12, 13, 14 ], [ 7, 8, 9, 10, 11, 14 ], [ 7, 8, 9, 10, 11, 14 ], 
  [ 8, 9, 10, 11, 12, 13 ], [ 1, 2, 3, 4, 5, 14 ], [ 2, 3, 4, 5, 6, 13 ], [ 2, 3, 4, 5, 6, 12 ], [ 1, 4, 5, 6, 11, 13 ], [ 1, 4, 5, 6, 10, 12 ], [ 1, 2, 3, 6, 9, 11 ], [ 1, 2, 3, 6, 8, 10 ], [ 1, 2, 3, 4, 5, 7 ] ];