Usage: 4 forms in 9 verses
Form Translated As     In Verse(s)
υποχειρίουσ under the hands LXX.Josh.11.8
under your hands LXX.Gen.14.20LXX.Isa.58.3
υποχείριόν under your hand LXX.Josh.6.2
υποχείριον under hand LXX.Josh.10.12
under my hand LXX.Num.21.2
unto his hand LXX.Num.21.3
υποχείριοι under one's hands LXX.Jer.42.18
under your hands LXX.Josh.9.25

Liddell-Scott-Jones

ὑποχείριος (hupocheirios) under one's hand G:A

ὑποχείριος-ιος, ον,

[Refs 5th c.BC+]; ος, α, ον, [Refs 5th c.BC+]: (χείρ):— under the hand, in hand, χρυσὸν ὅτις χ᾽ ὑποχείριοςιος ἔλθῃ [Refs 8th c.BC+]

__2 mostly of persons, under any one's hand or control, under command, subject, τισι [Refs 5th c.BC+]; . εἶναι, γενέσθαι τισί,[Refs 5th c.BC+]; ὑποχειρίους ποιέεσθαί τινας make subject, bring into subjection, [ὑποχείριοςιος ἔλθῃ 6th c.BC: Theognis Elegiacus 363 ">Refs 6th c.BC+]; λαβεῖν τινα ὑποχείριοςιον to get into one's power, [Refs 5th c.BC+]; . τὸν ἵππον ἔχειν keep him 'well in hand', [Refs 5th c.BC+]; . τοῖς ἰητροῖς in the power of.., [Refs 5th c.BC+]; of wild birds, . ποιήσασθαι keep them in captivity, [Refs 5th c.BC+]