f1:=(22,33,44,55,66)(77,88,99,110,121)
(21,32,43,54,65)(17,28,39,50,61)
(13,24,35,46,57)(74,83,94,105,116)
(72,81,92,103,114)(68,87,98,109,120)
(12,23,34,45,56)(16,27,38,49,60)
(14,25,36,47,58)(75,84,95,106,117)
(73,82,93,104,115)(67,86,97,108,119);

f2:=(11,66,77,88,33)(44,55,121,132,99)
(10,59,72,83,30)(4,63,76,87,24)
(6,65,68,79,26)(41,50,114,125,96)
(8,57,70,81,28)(52,116,127,98,43)
(5,64,67,78,25)(29,9,58,71,82)(42,51,115,126,97)
(7,56,69,80,27)(40,49,113,124,95)(53,117,128,89,34)
(39,48,112,123,94)(35,54,118,129,90);

r2:=(11,66,77,88,33)(44,55,121,132,99)
(10,59,72,83,30)(4,63,76,87,24)
(6,65,68,79,26)(41,50,114,125,96)
(8,57,70,81,28)(52,116,127,98,43)
(5,64,67,78,25)(29,9,58,71,82)(42,51,115,126,97)
(7,56,69,80,27)(40,49,113,124,95)(53,117,128,89,34)
(39,48,112,123,94)(35,54,118,129,90)
(13,15,17,19,21)(109,107,105,103,101)
(12,14,16,18,20)(108,106,104,102,100)
(1,60,73,84,31)(3,62,75,86,23)
(2,61,74,85,32)(120,131,92,37,46)
(38,47,111,122,93)(36,45,119,130,91);

f3:=r2*f1*r2^-1;
f8:=r2^2*f1*r2^-2;
f7:=r2^3*f1*r2^-3;
f6:=r2^4*f1*r2^-4;

slice:=Group(f1,f2,f3,f6,f7,f8);