καται-βάτης · katai-batēs — LSJ
descending in thunder and lightning
a name of Zeus as descending in thunder and lightning, Ar. Pax 42, Clearch. 9, Lyc. 1370, IG 2.1659b, 12(3).1360 (Thera), 1093 (Melos), BCH 50.245 (Thasos), Ἀρχ.Ἐφ. 1924.146 (Thess.), Paus. 5.14.10, Corn. ND 9: applied by Athenian flattery to Demetrius, Plu. Demetr. 10; also κ. κεραυνός, σκηπτός, A. Pr. 361, Lyc. 382.
2 who led souls down
of Hermes, who led souls down to the nether world, Sch. Ar. Pax 649.
3 that to which one descends, downward
of Ἀχέρων, that to which one descends, downward, E. Ba. 1360.
4 descending underground
of a person, descending underground, Dam. Isid. 131.
5
καταιβάται, οἱ, members of a thiasos of worshippers of Dionysus, Inscr.Magn. 215a36.--In these senses the form καταβάτης never occurs; cf. καταιβάσιος, καταιβάτις, etc.