01,02,03,
01,02,03,12,13,23,
LC Orbit Size is 5,  2 Pivot Orbits: 4,1,
01,03,12,
01,03,12,13,
01,02,12,13,23,
LC Orbit Size is 11,  3 Pivot Orbits: 5,3,3,
01,02,12,13,
01,02,13,
01,02,03,13,
LC Orbit Size is 11,  3 Pivot Orbits: 3,5,3,
02,03,12,13,
02,03,12,13,23,
01,02,12,23,
LC Orbit Size is 11,  3 Pivot Orbits: 5,3,3,
Total number of pivot orbits is 11, 38 graphs counted