Marc, I already sent you this, a week ago! Neil It is abelian (table is symmetric), and every element squares to the identity There for it is C2 X C2 X C2, the direct product of three cyclic groups of order 2 If wrutten additively, it is the additive group of binary vectors of length 3 Your name My name 0 000 1 001 2 010 1+2=4 011 3 100 1+3=5 101 2+3=6 110 1+6=7 111 if you exchange the names of 3 and 4, then you can just write your name in base 2 to get my name! Best regards Neil