# WARNING: The designs listed may have additional resolutions with a trivial
# automorphism group.
#
# Design 24109: 4 resolution(s), autom. group order 27
D24109:=[[1,2,3],[1,2,3],[1,2,4],[1,2,5],[1,2,6],[1,3,4],[1,3,5],[1,3,6],[1,4,7],[1,4,7],[1,4,8],[1,5,7],[1,5,9],[1,5,9],[1,6,8],[1,6,8],[1,6,9],[1,7,8],[1,7,9],[1,8,9],[2,3,4],[2,3,5],[2,3,6],[2,4,7],[2,4,9],[2,4,9],[2,5,8],[2,5,8],[2,5,9],[2,6,7],[2,6,7],[2,6,8],[2,7,8],[2,7,9],[2,8,9],[3,4,8],[3,4,8],[3,4,9],[3,5,7],[3,5,7],[3,5,8],[3,6,7],[3,6,9],[3,6,9],[3,7,8],[3,7,9],[3,8,9],[4,5,6],[4,5,6],[4,5,7],[4,5,8],[4,5,9],[4,6,7],[4,6,8],[4,6,9],[5,6,7],[5,6,8],[5,6,9],[7,8,9],[7,8,9]];
G24109:=Group([(4,5,6)(7,9,8),(1,2,3)(7,9,8),(1,4,7)(2,5,8)(3,6,9)]);
R24109_1:=[[1,48,59],[2,49,60],[3,46,57],[4,47,53],[5,45,52],[6,35,56],[7,33,55],[8,34,51],[9,27,43],[10,28,44],[11,29,42],[12,32,38],[13,30,36],[14,31,37],[15,25,39],[16,26,40],[17,24,41],[18,21,58],[19,22,54],[20,23,50]];
RG24109_1:=Group([(4,6,5)(7,8,9)]);
R24109_2:=[[1,48,59],[2,49,60],[3,45,58],[4,46,54],[5,47,50],[6,35,56],[7,33,55],[8,34,51],[9,27,43],[10,28,44],[11,29,42],[12,32,38],[13,30,36],[14,31,37],[15,25,39],[16,26,40],[17,24,41],[18,23,52],[19,21,57],[20,22,53]];
RG24109_2:=Group([(4,6,5)(7,8,9),(1,4,7)(2,5,8)(3,6,9)]);
R24109_3:=[[1,48,59],[2,49,60],[3,46,57],[4,47,53],[5,45,52],[6,33,58],[7,34,54],[8,35,50],[9,27,43],[10,28,44],[11,29,42],[12,32,38],[13,30,36],[14,31,37],[15,25,39],[16,26,40],[17,24,41],[18,22,55],[19,23,51],[20,21,56]];
RG24109_3:=Group([(4,5,6)(7,9,8),(1,7,4)(2,8,5)(3,9,6)]);
R24109_4:=[[1,48,59],[2,49,60],[3,47,56],[4,45,55],[5,46,51],[6,34,57],[7,35,53],[8,33,52],[9,27,43],[10,28,44],[11,29,42],[12,32,38],[13,30,36],[14,31,37],[15,25,39],[16,26,40],[17,24,41],[18,21,58],[19,22,54],[20,23,50]];
RG24109_4:=Group([(4,6,5)(7,8,9),(1,7,4)(2,8,5)(3,9,6)]);