Dear Nick, On Thu, Feb 26, 2015 at 10:35:52AM +0000, Nicholas Gill wrote: > Hi GAP-folk, > > I would like to construct a bunch of bicyclic extensions of some finite > simple groups. Here "bicyclic" is in the sense of the ATLAS. I'm thinking of > things like > 3.A6.2, 6.A6.2, 12.A6.2, (2x2).Sz(8).3 > I realise the definition of these things is a little icky. In fact I only > need an example of each such group up to isoclinism - this is what the ATLAS > provides and that's good enough for me... But to start any example of such a > group would be handy.
you can find presentations and representations in Atlas of Finite Group Representations, e.g. for Sz(8) see http://brauer.maths.qmul.ac.uk/Atlas/v3/exc/Sz8/ E.g. you can download permutations for 22.Sz(8):3 from http://brauer.maths.qmul.ac.uk/Atlas/v3/permrep/4Sz8d3G1-p2080B0 This data is also available directly in GAP via the package AtlasRep, see http://www.gap-system.org/Packages/atlasrep.html Hope this helps, Dima _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
