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X(6), X(74), X(511), X(1495), X(1976) 

See the notations and the general properties at CL030. The isogonal transform of K223 is K953 = nK0(X2, X525) = cK(#X2, X525). (Comments below by Wilson Stothers) C(R) is the Jerabek Hyperbola. R* = X(112). T(R*) is the line X(6)X(25). K223 is :
K223 contains :
The nodal tangents are
The pivotal conic touches the Lemoine axis at R. This identifies it as an inconic of the tangential triangle with center X(924). 
