size  2: 1 orbits, labeled caps = 3240, |Aut| in [606528, 606528]
size  3: 1 orbits, labeled caps = 84240, |Aut| in [23328, 23328]
size  4: 2 orbits, labeled caps = 1579500, |Aut| in [1296, 31104]
size  5: 3 orbits, labeled caps = 22441536, |Aut| in [120, 1296]
size  6: 7 orbits, labeled caps = 247615056, |Aut| in [16, 2592]
size  7: 11 orbits, labeled caps = 2144076480, |Aut| in [4, 324]
size  8: 33 orbits, labeled caps = 14587567020, |Aut| in [1, 2592]
size  9: 91 orbits, labeled caps = 77541824880, |Aut| in [1, 7776]
size 10: 267 orbits, labeled caps = 318294370368, |Aut| in [1, 240]
size 11: 670 orbits, labeled caps = 991227481920, |Aut| in [1, 144]
size 12: 1437 orbits, labeled caps = 2284535476080, |Aut| in [1, 96]
size 13: 2225 orbits, labeled caps = 3764369026080, |Aut| in [1, 48]
size 14: 2489 orbits, labeled caps = 4217827554720, |Aut| in [1, 48]
size 15: 1756 orbits, labeled caps = 2970003246912, |Aut| in [1, 72]
size 16: 748 orbits, labeled caps = 1141342138404, |Aut| in [1, 384]
size 17: 143 orbits, labeled caps = 176310866160, |Aut| in [1, 32]
size 18: 20 orbits, labeled caps = 6482268000, |Aut| in [2, 288]
size 19: 1 orbits, labeled caps = 13646880, |Aut| in [144, 144]
size 20: 1 orbits, labeled caps = 682344, |Aut| in [2880, 2880]
size 21: 0 orbits, labeled caps = 0, |Aut| in [1099511627776, 0]