[GAP Forum] Permutation Representation of 3.McL.2
jbohanon2 at gmail.com
Tue May 5 17:42:10 BST 2009
Does anyone know a good way to get a permrep for 3.McL.2 (the second
largest subgroup of the Lyons group)? The ATLAS has a rep for 3.McL
with about 66k moved points, so I'm guessing 3.McL.2 is probably not
much bigger than that.
What I really need is a list of the classes of non-solvable subgroups of
3.McL.2. I could theoretically do this by creating a homomorphism to
McL.2, then lifting non-solvable subgroups and testing if the "3" is
complemented or not in the pre-images. I can easily create the
homomorphism using GroupHomomorphismByImagesNC, but GAP stalls bad when
trying to take pre-images.
I've thought about using the ideas from the paper "Constructing
Permutation Representations for Large Matrix Groups", but before I
embark on trying to encode their algorithm, I figured I'd ask here to
see if anyone might just happen to have generators you could send me.
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