From wft@math.canterbury.ac.nz Wed Jan 29 04:27:21 1992 Return-Path: Received: from CANTVA.CANTERBURY.AC.NZ by life.ai.mit.edu (4.1/AI-4.10) id AA11553; Wed, 29 Jan 92 04:27:21 EST Received: from math.canterbury.ac.nz by csc.canterbury.ac.nz (PMDF #12052) id <01GFW95D1YZK9IB0HC@csc.canterbury.ac.nz>; Wed, 29 Jan 1992 17:00 +1300 Received: by math.canterbury.ac.nz (4.1/SMI-4.1) id AA29423; Wed, 29 Jan 92 17:00:01 NZD Date: Wed, 29 Jan 92 17:00:01 NZD From: wft@math.canterbury.ac.nz (Bill Taylor) Subject: subgroups To: Cube-Lovers@ai.mit.edu Cc: wft@cantva.canterbury.ac.nz Message-Id: <9201290400.AA29423@math.canterbury.ac.nz> X-Envelope-To: Cube-Lovers@AI.MIT.EDU On 14 Jan 1992, Allan C. Wechsler posted >Regarding the meta-approach of descending through a series of subgroups, >how much leverage does properly selecting the chain give you? It seems >like the jump from to is pretty large. >There are probably other paths through the subgroup lattice. > >Does anyone have a table of subgroups? There hasn't been any response to this, seemingly, which is a pity. In any event, I would like to know of any other well-known subgroups. There are the slice group; double-slice group; U group; square group; anti-slice group. How many others are there not mentioned here, that people know of ?