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

1,6

Links

Table of n, a(n) for n=1..12.

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.

Sequence in context: A027636 A371737 A173425 * A237558 A060034 A308216

Adjacent sequences: A289442 A289443 A289444 * A289446 A289447 A289448

Keyword

nonn,more

Author

N. J. A. Sloane, Jul 08 2017

Status

approved