A138077 - OEIS

A138077

Index of the largest maximal subgroup of PSL(3,q) as q runs through the prime powers (A000961).

%I #42 Apr 05 2022 21:04:08

%S 7,13,21,31,57,73,91,133

%N Index of the largest maximal subgroup of PSL(3,q) as q runs through the prime powers (A000961).

%C First eight entries agree with the ATLAS. - _Eric M. Schmidt_, Apr 21 2013

%C Is this sequence simply A335865 starting with the second term? - _Max Alekseyev_, Apr 04 2022

%o (Sage) def a138077_q(q): G = PSL(3,q); d = G.order(); return d // max(H.order() for H in G.conjugacy_classes_subgroups() if H.order()<d) # _Max Alekseyev_, Apr 05 2022

%Y Cf. A000961, A003807 (order of PSL(3,q)), A335865.

%K nonn,hard,more

%O 1,1

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

%E a(3) corrected by _Eric M. Schmidt_, Apr 20 2013

%E Unconfirmed terms from a(9) onward removed by _Max Alekseyev_, Apr 05 2022