A289445 a(n) = number of similarity classes of groups G with exactly n subgroups and such that G = G-tilde, where G-tilde is the unique subgroup of G left after factoring out the cyclic, central Sylow subgroups.

1, 0, 0, 0, 1, 3, 0, 4, 0, 8, 3, 4

Offset: 1

Author

N. J. A. Sloane, Jul 08 2017

Keywords

• nonn
• more

Links

• M. C. Slattery, On a property motivated by groups with a specified number of subgroups, Amer. Math. Monthly, 123 (2016), 78-81.
• M. C. Slattery, Groups with at most twelve subgroups, arXiv:1607.01834 [math.GR], (2016).

Crossrefs

Cf. A274847.