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Dec 3, 2018 at 9:48 vote accept Bonbon
Dec 2, 2018 at 17:39 comment added YCor Yes it's very easy to show by hand that the $3\times 3$-Heisenberg group has the congruence subgroup property. More generally this holds in general, in the sense that for every unipotent $\mathbf{Q}$-subgroup $U$ of $\mathrm{GL}_d$, every finite index subgroup of $\mathrm{GL}_d(\mathbf{Z})\cap G(\mathbf{Q})$ has the congruence subgroup property.
Dec 2, 2018 at 15:40 history answered Benjamin Steinberg CC BY-SA 4.0