Tables of Quintics unramified outside S



Cases where S contains one prime

S S5 A5 F5 D5 C5 Total    
{2}           0    
{3}           0    
{5}     2   1 3 txt gp
{7}           0    
{11}         1 1 txt gp
{13}           0    
{17}           0    
{19}           0    
{23}           0    
{29}           0    
{31}         1 1 txt gp
{37}           0    
{41}         1 1 txt gp
{43}           0    
{47}       1   1 txt gp
{53}           0    
{59}           0    
{61}         1 1 txt gp
{67}           0    
{71}         1 1 txt gp
{73}           0    
{79}       1   1 txt gp
{83}           0    
{89}           0    
{97}           0    
{101} 1   1   1 3 txt gp
{103}       1   1 txt gp
{107}           0    
{109}           0    
{113}           0    
{127}       1   1 txt gp
{131}       1 1 2 txt gp
{137}           0    
{139}           0    
{149}           0    
{151} 1       1 2 txt gp
{157}     1     1 txt gp
{163}           0    
{167}           0    
{173}     1     1 txt gp
{179}       1   1 txt gp
{181}     1   1 2 txt gp
{191}         1 1 txt gp
{193}           0    
{197}     1     1 txt gp
{199}           0    
{211}         1 1 txt gp
{223}           0    
{227}       1   1 txt gp
{229}           0    



Cases where S contains two primes

S S5 A5 F5 D5 C5 Total    
{2,3} 5   1     6 txt gp
{2,5} 38 5 19 4 1 67 txt gp
{3,5} 22 6 7 2 1 38 txt gp
{2,7} 2         2 txt gp
{3,7}           0    
{5,7} 4   7 2 1 14 txt gp
{2,11} 2   1 1 1 5 txt gp
{3,11}   2     1 3 txt gp
{5,11} 5   13 3 6 27 txt gp
{7,11} 1     1 1 3 txt gp
{2,13} 4   6     10 txt gp
{3,13}           0    
{5,13} 9 1 13   1 24 txt gp
{7,13}     1     1 txt gp
{11,13}       1 1 2 txt gp
{2,17} 3 1       4 txt gp
{3,17} 1 1 1     3 txt gp
{5,17} 12   14   1 27 txt gp
{7,17}       1   1 txt gp
{11,17}         1 1 txt gp
{13,17}     1     1 txt gp
{2,19} 2 1 1 1   5 txt gp
{3,19} 4 3       7 txt gp
{5,19} 8   13 2 1 24 txt gp
{7,19}       1   1 txt gp
{11,19} 1     2 1 4 txt gp
{13,19} 1         1 txt gp
{17,19} 1         1 txt gp
{2,23} 5   1     6 txt gp
{3,23}   1       1 txt gp
{5,23} 8   7 2 1 18 txt gp
{7,23} 1         1 txt gp
{11,23} 1       1 2 txt gp
{13,23}           0    
{17,23}     1     1 txt gp
{19,23} 2     1   3 txt gp
{2,29} 6 2 2 1   11 txt gp
{3,29}   3 1 1   5 txt gp
{5,29} 8   23   1 32 txt gp
{7,29} 2         2 txt gp
{11,29}       2 1 3 txt gp
{13,29} 2 1 1     4 txt gp
{17,29} 3 2 2     7 txt gp
{19,29}     1 1   2 txt gp
{23,29} 1 2       3 txt gp
{2,31} 3 1     1 5 txt gp
{3,31} 1 3   1 1 6 txt gp
{5,31} 9 1 13 3 6 32 txt gp
{7,31}         1 1 txt gp
{11,31}       1 6 7 txt gp
{13,31}   2     1 3 txt gp
{17,31}   1 1   1 3 txt gp
{19,31} 3       1 4 txt gp
{23,31}       1 1 2 txt gp
{29,31}       1 1 2 txt gp
{2,37} 6   3 1   10 txt gp
{3,37} 2         2 txt gp
{5,37} 13 1 14 1 1 30 txt gp
{7,37}           0    
{11,37} 1       1 2 txt gp
{13,37} 3   4     7 txt gp
{17,37} 3   2     5 txt gp
{19,37}           0    
{23,37} 1   1 1   3 txt gp
{29,37} 2   2 1   5 txt gp
{31,37} 1       1 2 txt gp
{2,41} 9 2 3 2 1 17 txt gp
{3,41} 2 2     1 5 txt gp
{5,41} 12 2 24 1 6 45 txt gp
{7,41} 2   1   1 4 txt gp
{11,41}         2 2 txt gp
{13,41} 2   2   1 5 txt gp
{17,41} 4 1     1 6 txt gp
{19,41} 1 1   1 1 4 txt gp
{23,41}   1   1 1 3 txt gp
{29,41} 3   1   1 5 txt gp
{31,41}       1 2 3 txt gp
{37,41} 1       1 2 txt gp



Cases where S contains three primes

S S5 A5 F5 D5 C5 Total    
{2,3,5} 1353 62 82 8 1 1506 txt gp
{2,3,7} 153 1 2     156 txt gp
{2,5,7} 453 15 83 9 1 561 txt gp
{3,5,7} 205 25 41 4 1 276 txt gp
{2,3,11} 150 17 4 2 1 174 txt gp
{2,5,11} 468 36 72 19 6 601 txt gp
{3,5,11} 204 48 45 5 6 308 txt gp
{2,7,11} 58 4 1 2 1 66 txt gp
{3,7,11} 21 6   1 1 29 txt gp
{5,7,11} 67 4 27 15 6 119 txt gp