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In the Standard Model the hypercharges of quarks and leptons are notdetermined by the gauge group $SU(3)_{\rm c} \times SU(2)_{\rm L} \timesU(1)_{\rm Y}$ alone. We show that, if we choose the semidirect product group$[SU(3)_{\rm c} \times SU(2)_{\rm L}] \rtimes U(1)_{\rm Y}$ as its gauge group,the hyperchages are settled to be $n/6 \mod {\mathbb{Z}}\;(n = 0,1,3,4) $. Inaddition, the conditions for gauge-anomaly cancellation give strongconstraints. As a result, the ratios of the hypercharges are uniquelydetermined and the gravitational anomaly is automatically canceled. Thestandard charge assignment to quarks and leptons can be properly reproduced.For exotic matter fields their hypercharges are also discussed.

Semidirect product gauge group $[SU(3)_{\rm c} \times SU(2)_{\rm L}]\rtimes U(1)_{\rm Y}$ and quantization of hypercharge