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.14.20 • LXX.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+]; ὑ. 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+]; ὑ. τὸν ἵππον ἔχειν keep him 'well in hand', [Refs 5th c.BC+]; ὑ. τοῖς ἰητροῖς in the power of.., [Refs 5th c.BC+]; of wild birds, ὑ. ποιήσασθαι keep them in captivity, [Refs 5th c.BC+]