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Wiktionary
impermissibly

adv. (context chiefly legal English) In a way or to an extent that is not permissible.

WordNet
impermissibly

adv. not permissibly; "the radon level in the basement was impermissibly high" [ant: permissibly]

Usage examples of "impermissibly".

The intensity, the lyricism, the romanticism of love in these last two cases has struck some readers as impermissibly old-fashioned.