Group Theory Lecture 12: Classification of group of order 12

In this session we discuss about the classification of group of order 12. We have see that there are 5 isomorphism classes of order 12, out of which 2 are abelian and 3 are non-abelian.

[rabiprakashsha]

Thank you can you please tell me classification of orders and number of the group in <x, y|o(x)=4, o(y)=3, xy=y^2x>

[asdfghqwerty]

thanks teacher in minute 16 I have a question. You affirm that since there are only two automorphisms of Q there is an element w in P different of e such that phi (w)(y)=y for every y in Q... why if there are two automorphism of Q then this implies that there is an element w in P different of e such that phi (w)(y)=y for every y in Q?