The Calogan dog was a canine animal in the Delta Quadrant, considered to be very obedient.
When Chakotay offered the Kazon Kar to escape death with him, Haliz believed Kar would rather accept death than "run like a Calogan dog". (VOY: "Initiations")
When Captain Janeway invited the Kazon to a conference with the Trabe, Maje Culluh initially refused to come "running like a Calogan dog on the Federation's call". (VOY: "Alliances")