The paper considers several definitions of information flow security for intransitive policies from the point of view of the complexity of verifying whether a finite-state system is secure. The results are as follows. Checking (i) P-security (Goguen and Meseguer), (ii) IP-security (Haigh and Young), and (iii) TA-security (van der Meyden) are all in PTIME, while checking TO-security (van der Meyden) is undecidable. The most important ingredients in the proofs of the PTIME upper bounds are new characterizations of the respective security notions, which also enable the algorithms to return simple counterexamples demonstrating insecurity. Our results for IP-security improve a previous doubly exponential bound of Hadj-Alouane et al.