A390324 Smallest order m > 0 for which there are n nonisomorphic nonsolvable finite groups of order m, or 0 if no such order exists.

1, 60, 504, 120, 1512, 600, 360, 7500, 240, 4536, 1800, 4200

Offset

0,2

Links

Table of n, a(n) for n=0..11.

Max Horn, Numbers of isomorphism types of finite groups of given order

Example

a(1)=60 since 60 is the smallest order with a single nonsolvable group (the alternating group on 5 letters), and all smaller orders have no nonsolvable groups.

Crossrefs

Cf. A046057.

Sequence in context: A246774 A341597 A334306 * A069140 A229376 A298684

Adjacent sequences: A390321 A390322 A390323 * A390325 A390326 A390327

Keyword

nonn,more,hard

Author

Robin Jones, Nov 01 2025

Status

approved