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Maxim of Cheylesmore, Coventry
c1897 Company formed by Arthur Bonnick
1896/7 Directory: Listed under cycles. More details
1898 Bonnick sold the business to the Coventry Wheel Co
1912 Listed in Spennell's directory of Coventry as Cycle Manufacturers. 
After World War I, the name made a brief return when lightweight two-stroke models were constructed, using bought-in parts. The engines were the 318cc Dalm and JES, magnetos from EIC and Runbaken, carburettors from Amac and the two-speed gearboxes from Albion.
Being similar to many other makes, Maxim was one of a number that failed to survive.