>From sdcsvax!network!ucsd!rutgers!bellcore!att!cbnewsh!ka@cbnewsh.ATT.COM

Sat Sep 2 15:02:17 PDT 1989 Article 8208 of sci.math:

Path: sdcsvax!network!ucsd!rutgers!bellcore!att!cbnewsh!ka@cbnewsh.ATT.COM

>From: ka@cbnewsh.ATT.COM (Kenneth Almquist)

Newsgroups: sci.math

Subject: Re: All groups of orders 1 through 16

Message-ID: <3503@cbnewsh.ATT.COM>

Date: 31 Aug 89 14:21:35 GMT

References: <3368@cbnewsh.ATT.COM> <4860@bgsuvax.UUCP>

Sender: jgy@cbnewsh.ATT.COM

Reply-To: ka@ams.att.com Lines: 13

steiner@bgsuvax.UUCP (Ray Steiner) writes:

> Sorry, but Rotman's book on group theory proves that there are

> only 5 groups of order 12 and 14 groups of order 16 (not 6 and 19

> respectively). Some of the groups generated here are surely

> isomorphic.

You're right, there was a bug in my routine for testing isomorphism.

The fifth group of order 12 and the ninth through thirteenth groups of

order 16 (reading left to right) are isomorphic to earlier groups.

It's hard to test a program when you don't know what the output
is

supposed to be.

Kenneth Almquist