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In this paper we explicitly determine all indicators for groups isomorphic tothe semidirect product of two cyclic groups by an automorphism of prime order,as well as the generalized quaternion groups. We then compute the indicatorsfor the Drinfel'd doubles of these groups. This first family of groups includesthe dihedral groups, the non-abelian groups of order $pq$, and the semidihedralgroups. We find that the indicators are all integers, with negative integersbeing possible in the first family only under certain specific conditions.

HIGHER INDICATORS FOR SOME GROUPS AND THEIR DOUBLES