We list the subgroups of the basis set of Cl3,0 and classify them according to three criteria for construction of universal Clifford algebras: (1) each generator squares to ±1, (2) the generators within the group anticommute, and (3) the order of the resulting group is 2, where n is the number of nontrivial generators. Obedient groups we call choirs; disobedient groups, bands. We classify choir...
