in dat. with Subst., in one, together, ἀνόρουσεν αὐτῇ σὺν φόρμιγγι he sprang up lyre in hand, Il. 9.194; αὐτῇ σὺν πήληκι κάρη helmet and all, 14.498, cf. Od. 13.118; αὐτῷ σὺν ἄγγει E. Ion 32, cf. Hipp. 1213; also without σύν, αὐτῇ κεν γαίῃ ἐρύσαι Il. 8.24: so freq. in Prose and Poetry, αὐτοῖς ἀνδράσι men and all, Hdt. 6.93; αὐτοῖσι συμμάχοισι allies and all, A. Pr. 223 (lyr.); αὐτοῖς μελάθροις διακναιομένους E. Med. 164: with Art., αὐτοῖσι τοῖσι ἱματίοισι ἀπʼ ὦν ἔβαψε ἑωυτόν Hdt. 2.47; αὐτοῖσι τοῖς πόρπαξι Ar. Eq. 849, etc.; αὐτοῖς τοῖς ἵπποις κατακρημνισθῆναι X. Cyr. 1.4.7.
Here however there’s no noun in attendance, so I don’t think that that section applies. Rather this αυτοις is a so-called “ethic” dative, one that gets “them” into the sentence without assigning any specific grammatical function. Others would call it a dative of interest. Amounts to the same thing.