  In this paper we introduce EPOSIC channels, a class of SU(2)-covariant
quantum channels. We give their definition, a Kraus representation of them, and
compute their Choi matrices. We show that these channels form the set of
extreme points of all SU(2)-irreducibly covariant channels. We also compute
their complementary channels, and their dual maps. As application of these
channel, we get a new example of positive map that is not completely positive.
