Looking for a source of finite matrix groups

[martyall]

I'm wondering if anyone knows of an exhaustive database of matrix or
permutation representations of finite groups of small order. I need a
wealth of examples to test some conjectures involving polynomial
invariants, so I'm looking for a source which would be easily adapted
for use in sage-- or perhaps something already exists in GAP?

thanks,
-martin

[martyall]

naturally, matrix representations being shorthand for irreducible
representations

[Nicolas M. Thiery]

For permutation representations, would the Hulpke's database of
transitive permutation groups (courtesy of GAP ) be of interest for
you?

sage: [G.cardinality() for G in TransitiveGroups(4)]
[4, 4, 8, 12, 24]

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I don't know if it is related to your needs, but that's what we use
with Nicolas Borie as benchmark for some algorithms for computing
generators (and such) for rings of invariant.

http://arxiv.org/abs/1110.3849v1
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Best,
Nicolas
--
Nicolas M. Thi�ry "Isil" <nth...@users.sf.net>
http://Nicolas.Thiery.name/

[David Joyner]

It could be that you want something like
http://www.gap-system.org/Packages/repsn.html
or possibly something like
http://www.sagemath.org/doc/reference/sage/groups/matrix_gps/matrix_group.html

>>
>> thanks,
>> -martin