From ACW@riverside.scrc.symbolics.com Thu Aug 20 16:24:45 1992 Return-Path: Received: from RIVERSIDE.SCRC.Symbolics.COM by life.ai.mit.edu (4.1/AI-4.10) id AA22502; Thu, 20 Aug 92 16:24:45 EDT Received: from PALLANDO.SCRC.Symbolics.COM by RIVERSIDE.SCRC.Symbolics.COM via INTERNET with SMTP id 888810; 20 Aug 1992 16:25:53-0400 Date: Thu, 20 Aug 1992 16:25-0400 From: Allan C. Wechsler Subject: Re: subgroups To: hoey@aic.nrl.navy.mil, ACW@riverside.scrc.symbolics.com, wft@math.canterbury.ac.nz Cc: Cube-Lovers@ai.mit.edu In-Reply-To: <9208201751.AA14111@sun30.aic.nrl.navy.mil> Message-Id: <19920820202540.7.ACW@PALLANDO.SCRC.Symbolics.COM> Date: Thu, 20 Aug 1992 13:51 EDT From: hoey@aic.nrl.navy.mil [...] Of course a list of *all* the subgroups would have, um, over three beelion of them. I suspect it has more than 4.3x10^19. Does anyone know a good way of counting how many subgroups there are? Or even a way of estimating the number? By comparison, the symmetries of the cube form a 48-element group with 98 subgroups. All we should really be interested in are conjugate classes of subgroups. I think.