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Dec 9, 2010 at 10:27 comment added Tim Dokchitser You're welcome! (Incidentally, I checked and this appears to be the smallest example.)
Dec 9, 2010 at 8:15 comment added William DeMeo A full description of my question and your answer (including GAP code) now appears here: math.hawaii.edu/~williamdemeo/groups/… On page 2 is a picture of the interval above the diagonal in the subgroup lattice of G. Thanks again!
Dec 9, 2010 at 1:43 vote accept William DeMeo
Dec 8, 2010 at 22:38 history answered Tim Dokchitser CC BY-SA 2.5