(1,2)-resolvable candelabra quadruple systems and Steiner quadruple systems

( 1 , α ) -resolvable candelabra quadruple systems play an important role in the construction of ( 1 , α ) -resolvable Steiner quadruple systems. In this paper, we consider ( 1 , 2 ) -resolvable candelabra quadruple systems with three groups and show that the necessary conditions on the existence of ( 1 , 2 ) -RCQS ( g 3 : s ) when g is even are also sufficient. As its application, we improve the existing result on ( 1 , 2 ) -resolvable Steiner quadruple systems.