Thank you!
Among these transitive groups $G$, how many (per degree) gives an inclusion 
$(G_1 \subset G)$ with a distributive lattice of intermediate subgroups?(that's 
my initial goal)


Sébastien.



Le Mercredi 20 août 2014 3h48, Gordon Royle <gordon.ro...@uwa.edu.au> a écrit :
 




On 18 Aug 2014, at 2:18 am, Palcoux Sebastien <sebastienpalc...@yahoo.fr> wrote:

Hi,  
>
>The current GAP Data Library "Transitive Permutation Groups" contains the 
>transitive permutation groups of degree up to 30
>
>Question: The next generation of this Data Library will be with degree up to 
>what? available when?  
>

There are

2801324  transitive groups of degree 32
162 transitive groups of degree 33
115 transitive groups of degree 34
407 transtiive groups of degree 35
121279 transitive groups of degree 36
11 transitive groups of degree 37
89 transitive groups of degree 38
333 transitive groups of degree 39

and lots and lots of degree 40


Gordon


Professor Gordon Royle
School of Mathematics and Statistics
University of Western Australia
gordon.ro...@uwa.edu.au
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