U:=((60,1,2,3,4)(5,10,15,20,25)(9,14,19,24,29)(120,61,62,63,64)(69,74,79,84,89));
R:=((29,25,26,27,28)(60,24,57,53,6)(4,23,56,52,5)(89,85,86,87,88)(64,83,116,112,65));
F:=((9,5,6,7,8)(1,29,52,48,11)(60,28,51,47,10)(69,65,66,67,68)(120,88,111,107,70));
L:=((14,10,11,12,13)(2,9,47,43,16)(1,8,46,42,15)(74,70,71,72,73)(61,68,106,102,75));
BR:=((24,20,21,22,23)(4,19,37,58,26)(3,18,36,57,25)(84,80,81,82,83)(63,78,96,117,85));
BL:=((19,15,16,17,18)(3,14,42,38,21)(2,13,41,37,20)(79,75,76,77,78)(62,73,101,97,80));
FR:=((54,50,51,52,53)(34,49,7,28,56)(33,48,6,27,55)(114,110,111,112,113)(93,108,66,87,115));
FL:=((49,45,46,47,48)(33,44,12,8,51)(32,43,11,7,50)(109,105,106,107,108)(92,103,71,67,110));
DR:=((59,55,56,57,58)(30,54,27,23,36)(34,53,26,22,35)(119,115,116,117,118)(94,113,86,82,95));
DL:=((44,40,41,42,43)(32,39,17,13,46)(31,38,16,12,45)(104,100,101,102,103)(91,98,76,72,105));
B:=((39,35,36,37,38)(31,59,22,18,41)(30,58,21,17,40)(99,95,96,97,98)(90,118,81,77,100));
D:=((30,31,32,33,34)(35,40,45,50,55)(39,44,49,54,59)(90,91,92,93,94)(99,104,109,114,119));
M:=Group(U,R,L,F,BR,BL,FR,FL,DR,DL,B,D);
twist:=((1,9,10));
flip:=((120,69));
cswap:=((60,1)(9,29)(5,10));
eswap:=((120,61)(69,74));
P:=Group(U,R,L,F,BR,BL,FR,FL,DR,DL,B,D,twist,flip,cswap,eswap);
A:=Stabilizer(M,[7,8,12,13,17,18,22,30,31,32,33,34,67,68,72,73,77,78,82,90,91,92,93,94,66,71,76,81,115,95,100,105,110],OnTuples);
B:=Stabilizer(M,[61,62,63,64,65,83,112,116,120],OnSets);

