You can use

G:=SL(2,5);
irr:=IrreducibleRepresentations(G,GF(11));
degrees:=List(irr,f->Size(One(G)^f));

Best wishes,
Benjamin

Am 22.01.21 um 16:22 schrieb D Brozovic:
Dear all,

The generic question is how one might use GAP4 to determine explicit
inequivalent representations of SL(2,5) over GF(11).

Strictly speaking, I am interested in 3 dimensional irreducible
representations of SL(2,5) over GF(11), and the orbit structure of the
action of SL(2.5) on the natural module.

Thanks in advance.

Doug






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