There was a bad schism at that work place and they weren't talking to each other.
There was a huge conflict at that office and they stopped communicating with one another.
schism を使って言うなら、次のように言えます。
ーThere was a bad schism at that work place and they weren't talking to each other.
「その職場で激しい分裂があり、彼らはお互いに口をきかなかった」
a bad schism で「激しい分裂」と言えます。
schism の他にも conflict「対立・衝突」を使って表現することもできますよ。
ーThere was a huge conflict at that office and they stopped communicating with one another.
「そのオフィスでは大きな対立があり、彼らはお互いに話をするのをやめた」
a huge conflict で「大きな対立・衝突」
ご参考まで！
カナダ 
