>
>>>> F = Permutation([(17,19,24,22),(18,21,23,20),( 6,25,43,16),( 7,28,42,13),( 
>>>> 8,30,41,11)],  size=49)
>>>> B = Permutation([(33,35,40,38),(34,37,39,36),( 3, 9,46,32),( 2,12,47,29),( 
>>>> 1,14,48,27)],  size=49)
>>>> L = Permutation([( 9,11,16,14),(10,13,15,12),( 1,17,41,40),( 4,20,44,37),( 
>>>> 6,22,46,35)],  size=49)
>>>> R = Permutation([ (25,27,32,30),(26,29,31,28),( 3,38,43,19),( 
>>>> 5,36,45,21),( 8,33,48,24)],  size=49)
>>>> U = Permutation([ ( 1, 3, 8, 6),( 2, 5, 7, 4),( 
>>>> 9,33,25,17),(10,34,26,18),(11,35,27,19)],  size=49)
>>>> D = Permutation([ 
>>>> (41,43,48,46),(42,45,47,44),(14,22,30,38),(15,23,31,39),(16,24,32,40)],  
>>>> size=49)
>>>> G = PermutationGroup([F,B,L,R,U,D])
>>>> G.order()
> 43252003274489856000
>>>> Z = G.center()
>>>> Z.order()
> 2


I see you used the "extra 0" form -- at least I assume that's why you
used 49 instead of 48. When I did this, the only test that failed as
G.orbits(rep=True) which came back as [0, 1, 2] instead of [0,
1]...I'm not sure what that means except that [1, 2] is the same as
[0, 1] but shifted up 1 because of the extra 0?

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