September 1989 Posting to USENET newsgroup SCI.MATH by Kenneth Almquist

>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
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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

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