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Table 4 Addition modulo 2 in the group (H2 × H2, +)

From: A group from Hackenbush game

+

(0,0)

(0,1)

(1,0)

(1,1)

(0,0)

(0,0)

(0,1)

(1,0)

(1,1)

(0,1)

(0,1)

(0,0)

(1,1)

(1,0)

(1,0)

(1,0)

(1,1)

(0,0)

(0,1)

(1,1)

(1,1)

(1,0)

(0,1)

(0,0)