What is the order of Klein 4 group?
The Wikipedia said it is isomorphic to the Dihedral group of order 4.
But isomorphism preserves group order hence Klein 4 group should have group order 4.
But I couldn't find any elements in Klein 4 group has group order 4.( Since there are only 4 elements and each non-identity element is self inverse and thus has order of 2 )
Can anyone tell me where is going wrong?