Display select categories on one page, and others on another page

Hope I’m in the right place.

I have a number of categories and 2 pages. I want half of the categories to be displayed on 1 of the pages, and the other half displayed on the second page. The second page needs to be a password protected page and thus the posts that fall in the categories displayed on that page can only be seen by those that have the password to the page.

Thus I have the following categories:

category1
category2
category3
category4
category5
category6

I have the following pages:

Page1
Page2

I need categories 1-3 to display with their category titles on page1 and categories 4-6 with their category titles to display on page2 which is a password protected page.

I have searched the forums and tried a slew of plugins to no avail thus far.

Thank you for any help!