How to split table into two tables based on column value in sql?

I need to split a table into two tables based on a value of column by creating two tables in data-base for example:

I have a table as the below

table1

|---------------------|------------------|
|        Col1         |     Col2         |
|---------------------|------------------|
|         1           |         a        |
|---------------------|------------------|
|         2           |         a        |
|---------------------|------------------|
|         3           |         b        |
|---------------------|------------------|
|         4           |         a        |
|---------------------|------------------|
|         5           |         b        |
|---------------------|------------------|
|         6           |         b        |
|---------------------|------------------|
|         7           |         a        |
|---------------------|------------------|

and the result I want to be like this as the below tables

table2

|---------------------|------------------|
|        Col1         |     Col2         |
|---------------------|------------------|
|         1           |         a        |
|---------------------|------------------|
|         2           |         a        |
|---------------------|------------------|
|         4           |         a        |
|---------------------|------------------|
|         7           |         a        |
|---------------------|------------------|

table3

|---------------------|------------------|
|        Col1         |     Col2         |
|---------------------|------------------|
|         3           |         b        |
|---------------------|------------------|
|         5           |         b        |
|---------------------|------------------|
|         6           |         b        |
|---------------------|------------------|

You can use a SELECT...INTO statement:

create table #table1 (col1 int, col2 char(1))

insert into #table1 
values
 (1,'a')
,(2,'a')
,(3,'b')
,(4,'a')
,(5,'b')
,(6,'b')
,(7,'a')

select Col1, Col2 into #table2
from #table1
where Col2 = 'a'

select Col1, Col2 into #table3
from #table1
where Col2 = 'b'

Here are the resulting #table2 and #table3: