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The translation complement of the flag transitive plane of order 49 [Proc. Amer. Math. Soc. 32 (1972), 256-262] constructed by Rao is computed. It is shown that the flag transitive group itself is the translation complement and it is a solvable group of order 600

international journal of mathematics and mathematical sciences

A flag transitive plane of order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$49$" id="E1"><mml:mn>49</mml:mn></mml:math>and its translation complement

A flag transitive plane of order49and its translation complement