Fatal Error on activation of Membership plugin

I get the following error when attempting to activate the Membership plugin on my BuddyPress website...

Plugin could not be activated because it triggered a fatal error.

Fatal error: Allowed memory size of 94371840 bytes exhausted (tried to allocate 122880 bytes) in /xxx/xxxxxx/xxxxxxxx.com/wp-content/plugins/membership/membershipincludes/classes/membershipadmin.php on line 6746

I am running the latest version of WP and all plugins.

Now begins the debugging...