def vis_S3_cross_Z3():
cf = Permutation.read_cycle_form
a = cf([[4, 5]], 6)
b = cf([[5, 6]], 6)
c = cf([[1, 2, 3]], 6)
G = PermGroup([a, b, c])
oG = OrbitGraph(G, (4, 2))
draw_orbit_graph(oG)
def vis_cyclic6():
b = Permutation.read_cycle_form([[1, 2, 3, 4, 5, 6]], 6)
G = PermGroup([b])
oG = OrbitGraph(G, (2, 5))
draw_orbit_graph(oG)
def vis_klien4():
a = Permutation.read_cycle_form([[1, 2], [3, 4]], 4)
b = Permutation.read_cycle_form([[1, 3], [2, 4]], 4)
G = PermGroup([a, b])
oG = OrbitGraph(G, (1, 2))
draw_orbit_graph(oG)
