This astronym probably refers to Venus, the morning star and an important entity in Mesoamerican cosmology.
As Christenson (2007: 205) points out, K'iche' people, like central Mexican intellectuals and other Maya communities, were well-known as astrologers and observers of the constelations. They connected their observations of the cosmos to the practices of daily life, and used micro- and macrological correspondences to create order and balance in a chaotic world.
The appearance of the Ik'oq'ij star illustrates this tendency. According to Christenson, Ik'oq'ij means "Accompanies/Bears/Passes Before Sun," indicating that K'iche' observers saw "the planet Venus as morning star." He goes on to cite Bartolomé de Las Casas, who wrote that “after the sun, which they held as their principal god, they honored and worshiped a certain star (I could not learn which star this was) more than any other denizen of the heavens or earth, because they held it as certain that their god, Quezalcóvatl, the highest god of the Cholulans, when he died transformed into this star" (Las Casas 1967: III, clxxiv, p. 201; cited in Christenson 2007: 205).
Justin Kerr's database includes some 28 images of the Venus Star constellation. Below we include one, image #3034 ("Museum number 1986.2.10 Rio Hondo style full face version of the water lily jaguar with star signs. The glyph for jaguar appears in the eyes. See K 1652 for codex style version of this jaguar.")