Could we use User Directories settings for login "User Schema Settings" -> "User Object Filter" with one big group and excent another small group?
Are "User Object Filter" accept "!=" operator for group or another one?
You can use memberOf in the User Object Filter similar to the following (example from here)
An example of != would be something like
More example can be found in https://confluence.atlassian.com/display/DEV/How+to+write+LDAP+search+filters
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