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A340518 Smallest order of a finite group with a commutator subgroup of order n. 2
1, 8, 6, 12, 10, 24, 14, 24, 18, 40, 22, 24, 26, 56, 30, 48, 34, 72, 38, 80, 42 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

By Lagrange's Theorem a(n) is a multiple of n.

Are all terms after the first even?

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

The fourth term is 12, because 12 is the smallest order of a group G with |G'| =  4, A_4 being an example.

CROSSREFS

Cf. A059807, A060793, A146992, A341293.

Sequence in context: A265118 A034085 A303316 * A173435 A184728 A119876

Adjacent sequences:  A340515 A340516 A340517 * A340519 A340520 A340521

KEYWORD

nonn,more

AUTHOR

Des MacHale, Jan 24 2021

STATUS

approved

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Last modified November 26 03:33 EST 2022. Contains 358353 sequences. (Running on oeis4.)