A138082 - OEIS

A138082

Number of conjugacy classes of subgroups of PSL(3,q) as q runs through the prime powers (A246655).

%I #8 Aug 12 2023 01:12:31

%S 15,51,95,140,137,206,428,315,284,7065,568,453,439,1233,1560,887,571

%N Number of conjugacy classes of subgroups of PSL(3,q) as q runs through the prime powers (A246655).

%o (GAP) List(Filtered([2..50], IsPrimePowerInt), q->Length(ConjugacyClassesSubgroups(PSL(3,q)))); # _Robin Visser_, Aug 10 2023

%o (Magma) [#Subgroups(PSL(3,q)) : q in [2..50] | IsPrimePower(q)]; // _Robin Visser_, Aug 10 2023

%o (Sage) [len(PSL(3,q).conjugacy_classes_subgroups()) for q in range(2, 50) if Integer(q).is_prime_power()] # _Robin Visser_, Aug 10 2023

%Y Cf. A000961, A003807, A138077.

%K nonn,more

%O 1,1

%A _John Cannon_ and _N. J. A. Sloane_, Dec 06 2009

%E Corrected by _Robin Visser_, Aug 10 2023