cycle types of GL_4(2) on the 35 lines: 12
orbits on k-subsets, k=0..35: [1, 1, 2, 6, 18, 51, 165, 517, 1522, 4158, 10232, 22452, 43988, 76817, 119672, 166658, 207696, 231764, 231764, 207696, 166658, 119672, 76817, 43988, 22452, 10232, 4158, 1522, 517, 165, 51, 18, 6, 2, 1, 1]
total number of orbits on non-empty subsets: 1771439
cumulative k<=7: 760  k<=8: 2282  k<=17: 885719
time 1.6s
