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A132221 Number of imprimitive transitive groups of order n. 0
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 (list; graph; refs; listen; history; text; internal format)
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..31.

FORMULA

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

STATUS

approved

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Last modified July 25 21:44 EDT 2021. Contains 346294 sequences. (Running on oeis4.)