Dear GAP Forum
Dear All
Hoping that you are all fine.
On the group Sp(6,2), in order to get intersections. I used the below
programme you provided which is working fine. To my suprise for the
intersection of the maximal subgroup m2 and m8 of Sp(6,2), I could get only
one candidate whose order is 42. If I try to get the other candidate if
any, the computer couldn't end the calculations for hours. Should I
conclude that this is the only candidate or I should exercise my patient.
gap> g:= SP( IsPermGroup, 6, 2 );
gap> mx:= MaximalSubgroupClassReps( g );;
gap> m2:= Filtered( mx, x -> Size(x) = 2^4*3*5* 168);
gap> m8:= Filtered( mx, x -> Size(x) = 3^2 * 168 );
gap> Size( Intersection( m2[1], m8[1] ) );
42
gap> repeat inter:= Intersection( m1[1], m2[1]^Random(g) );
> until Size( inter ) <> 42;
Thank you in advance.
Warm regards John
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