About this representation

Group M11
Group generators Standard generators
Dimension 44
Ring GF(2)
Characteristic 2
Irreducibility information Absolutely irreducible
Indicator +
Dimension of 1-cohomology 1
Dimension of 2-cohomology 1
Contributed by Not recorded

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This representation is available in the following formats:

MeatAxe a b
MeatAxe binary a b
GAP a b
GAP a, b
Magma a, b

Checks applied

Check Description Date Checked by Result
Presentation Check against the relations in a presentation. If this test passes, then the group is of the correct isomorphism type, and the generators are those stated. Note that the presentation itself is not checked here. Jul 4, 2006 certify.pl version 0.05 Pass
Semi-presentation Check against a semi-presentation. If this fails, then the representation is not on standard generators, and may generate the wrong group. Note that the semi-presentation itself is not checked here. Jul 4, 2006 certify.pl version 0.05 Pass
Dimension/field Check the dimension and field/ring of the representation. Jul 4, 2006 certify.pl version 0.05 Pass
Files exist Check whether files exist (where stated). Jul 4, 2006 certify.pl version 0.05 Pass
Irreducibility Check the irreducibility type is correct. Jul 5, 2006 irr.pl v0.2 Pass