  Infinitely many large Schur sigma-groups G with logarithmic order lo(G)=19+e,
non-elementary bicyclic commutator quotient G/G' ~ C(3^e) x C(3), e >= 2,
elevated rank distribution rho(G)=(3,3,3;3), punctured transfer kernel type
kappa(G) ~ (144;4) and soluble length sl(G)=3 are constructed. Up to e <= 4,
they are realized as 3-class field tower groups Gal(F(3,infty,K)/K) of
imaginary quadratic number fields K=Q(d^1/2), d<0. Their metabelianizations
M=G/G'' are BCF-groups with lo(M)=8+e and bicyclic third lower central factor
gamma3(M)/gamma4(M) ~ C(3) x C(3).
