Q1. THE FIRST ATTENDANCE QUESTION WAS:
What is p1*p2

A1. MY ANSWER TO THE FIRST ATTENDANCE QUESTION IS:
14523
They are same. 


Q2. THE  SECOND ATTENDANCE QUESTION WAS:
Why size of subgroups equals power?

A2. MY ANSWER TO THE  SECOND ATTENDANCE QUESTION IS:
Because GG finds the subgroup until Gr<>Gr1, which is the steps from pi to e.


Q3. THE  THIRD ATTENDANCE QUESTION WAS:
Prove that if h is a subgroup of a group g then g/h is an integer

A3. MY ANSWER TO THE  THIRD ATTENDANCE QUESTION IS:
The left cosets of H in G are the equivalence classes of a certain equivalence relation on G: specifically, call x and y in G equivalent if there exists h in H such that x = yh. Therefore the left cosets form a partition of G. Each left coset aH has the same cardinality as H because {\displaystyle x\mapsto ax}x\mapsto ax defines a bijection {\displaystyle H\to aH}{\displaystyle H\to aH} (the inverse is {\displaystyle y\mapsto a^{-1}y}{\displaystyle y\mapsto a^{-1}y}). The number of left cosets is the index [G : H].


Q4. THE  FOURTH ATTENDANCE QUESTION WAS:
Whose theorem

A4. MY ANSWER TO THE  FOURTH ATTENDANCE QUESTION IS:
Lagrange


Q5. THE  FIFTH ATTENDANCE QUESTION WAS:
Find random perm's cycle representation

A5. MY ANSWER TO THE  FIFTH ATTENDANCE QUESTION IS:
[3, 8, 4, 9, 1, 5, 6, 7, 2]
[9, 2, 8, 7, 6, 5, 1, 3, 4]