A132221 Number of imprimitive transitive groups of order n.

0, 0, 0, 3, 0, 12, 0, 43, 23, 36, 0, 295, 0, 59, 98, 1932, 0, 979, 0, 1113, 155, 55, 0, 24995, 183, 89, 2377, 1840, 0, 5708, 0, 2801317, 158, 113, 401, 121257, 0, 72, 304, 315834, 0, 9487, 0, 2109, 10914, 54, 0

Offset

1,4

Comments

Smallest order of an imprimitive group is 4. The groups of order 4 are C_4, V_4, D_4.

Imprimitive groups do not exist with prime orders.

Links

Table of n, a(n) for n=1..47.

Formula

a(n) = A002106(n) - A000019(n).

Crossrefs

Cf. A000019, A002106.

Sequence in context: A249775 A019264 A028851 * A140093 A194093 A055314

Adjacent sequences: A132218 A132219 A132220 * A132222 A132223 A132224

Keyword

nonn

Author

Artur Jasinski, Aug 14 2007

Extensions

More terms from Vaclav Kotesovec, Jul 18 2022

Status

approved