Both the subgroup and the quotient group are isomorphic with Z. Let be a finite group and any subgroup of . The other subgroup is the Borgund group. A 2006 study found Ashkenazi Jews to be a clear, homogeneous genetic subgroup. Therefore, is isomorphic to the subgroup of . The smallest example with a nontrivial subgroup of false witnesses is . The translations form a normal abelian subgroup of rank 3, called the Bravais lattice. The Northern Finnic group has more evidence for being an actual historical/genetic subgroup. In particular, it is a normal, abelian subgroup. To see this, take a generating set for the (finitely generated) normal subgroup and quotient. More analyses result in their being Neodiapsida, a derived diapsid subgroup. Almost all avemetatarsalians are members of a similarly defined subgroup, Ornithodira. Let be a subgroup of that is of finite index. Telomerases are part of a distinct subgroup of RNA-dependent polymerases. The variation in size of each subgroup also affects seasonal foraging behavior.