A138082 Number of conjugacy classes of subgroups of PSL(3,q) as q runs through the prime powers (A246655).

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

Offset: 1

Author

John Cannon and N. J. A. Sloane, Dec 06 2009

Keywords

• nonn
• more

Crossrefs

Cf. A000961, A003807, A138077.

Programs

GAP

List(Filtered([2..50], IsPrimePowerInt), q->Length(ConjugacyClassesSubgroups(PSL(3,q))));  # Robin Visser, Aug 10 2023

Magma

[#Subgroups(PSL(3,q)) : q in [2..50] | IsPrimePower(q)];  // Robin Visser, Aug 10 2023

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

Extensions

Corrected by Robin Visser, Aug 10 2023