>
> G=TransitiveGroups(6); 
>

Unfortunately this requires the `database_gap` which is probably far too 
new now for an older Sage like that.  I had to 
try http://sagemath.org/packages/archive/database_gap-4.4.12.p1.spkg (are 
we still archiving older versions of pkgs for this purpose?).

5.2:

sage: G=TransitiveGroups(6)
sage: print join([str(i)+": "+join([str(j) for j in range(i-1,0,-1) if 
G[j].is_subgroup(G[i])]) for i in range(len(G),0,-1)], "\n")
16: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
15: 12 10 7 4
14: 12
13: 10 9 5 3 2 1
12: 
11: 8 7 6 4 3 2 1
10: 
9: 5 3 2 1
8: 4 2
7: 4
6: 4 1
5: 1
4: 
3: 2 1
2: 
1: 

6.5.beta2:

16: 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
15: 12 10 7 4
14: 12
13: 10 9 5 3 2 1
12: 
11: 8 7 6 4 3 2 1
10: 
9: 5 3 2 1
8: 4 2
7: 4
6: 4 1
5: 1
4: 
3: 2 1
2: 
1: 


They seem the same... did I miss one?

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