  The breakdown of the SU(6) global symmetry to its SU(5) subgroup, that
contains the standard model (SM) gauge group, in the E6 inspired composite
Higgs model (E6CHM) results in a set of pseudo-Nambu-Goldstone bosons (pNGBs).
This set, in particular, involves the SM-like Higgs doublet and a SM singlet
boson. In the limit when CP is conserved the SM singlet scalar A is a CP-odd
state that does not mix with the SM-like Higgs. The interactions of A with
exotic matter beyond the SM, which ensures anomaly cancellation and approximate
gauge coupling unification, can induce couplings of this pseudoscalar to the SM
gauge bosons. We specify the interactions of the SM singlet pNGB state with the
exotic vector-like fermions, top quark and SM gauge bosons. Also we explore the
dependence of the branching ratios of the pseudoscalar A and its LHC production
cross section on the parameters of the E6CHM.
