The Order Of Automorphsim Group Of The Group Of Order P～6(φ₁₂,φ₂₇,φ₂₈,φ₂₉,φ₃₀)

Based on the construction of the groups of order p6(p an odd prime) in[1],this paper provids the orders of families φ12,φ27,φ28 ,φ29 and φ30 which are five families of the groups of order p6.In the paper,the orders of the groups given are produced by using the properties of metabelian,regularity,p-commutativity and some properties of equivalence.Specially,necessary characteristic subgroups are found out in order to simplify the calculation and skillfully using the ralations of equivalence produces the results.