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A341293 Smallest order of a non-abelian group with a commutator subgroup of index n. 2
60, 6, 12, 8, 55, 18, 56, 16, 27, 30, 253, 24, 351, 42, 60, 32, 1020, 54, 1140, 40, 84, 66, 1081, 48, 125, 78, 81, 56, 1711, 90, 992, 64, 132, 102, 280, 72, 2220, 114, 156, 80, 2460, 126, 2580, 88, 135, 138, 2820, 96, 343, 150, 204, 104, 3180, 162, 605, 112, 228, 174, 3540, 120, 3660 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Bob Hefferman, Table of n, a(n) for n = 1..255

EXAMPLE

Examples for small n:

n a(n) group

1  60  A5

2  6  S3

3  12  A4

4  8  D8

5  55  C11 : C5

6  18  C3 x S3

7  56  (C2 x C2 x C2) : C7

8  16  (C4 x C2) : C2

9  27  (C3 x C3) : C3

10  30  C5 x S3

11  253  C23 : C11

12  24  C3 x D8

CROSSREFS

Cf. A001034, A340518.

Sequence in context: A016532 A075080 A202561 * A133000 A033380 A094086

Adjacent sequences:  A341290 A341291 A341292 * A341294 A341295 A341296

KEYWORD

nonn

AUTHOR

Bob Heffernan and Des MacHale, Feb 05 2021

STATUS

approved

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Last modified May 21 21:43 EDT 2022. Contains 353929 sequences. (Running on oeis4.)