cyclic subgroups by order, from the list of classes: {1: 1, 2: 315, 3: 2416, 4: 1890, 5: 2016, 6: 5040, 7: 960, 15: 2016, 21: 960}
elements of order n divided by phi(n):               {1: 1, 2: 315, 3: 2416, 4: 1890, 5: 2016, 6: 5040, 7: 960, 15: 2016, 21: 960}
equal: True
Sylow 2: classes of order 64: [(64, 105)]; one class, number = 1 mod 2: True
Sylow 3: classes of order 27: [(27, 1120)]; one class, number = 1 mod 3: True
Sylow 5: classes of order 5: [(5, 2016)]; one class, number = 1 mod 5: True
Sylow 7: classes of order 7: [(7, 960)]; one class, number = 1 mod 7: True
