We added a new custom authentication provider (saml2) and needed to customize our logout url based on what someone logged in with.

Credit to Velizar Bishurov for the answer

    public static class Util
    {
        public static string GetIdentityProvider()
        {
            var identity = ClaimsManager.GetCurrentIdentity();
            var idToken = identity.Claims.FirstOrDefault(c => c.Type == "id_token");
            if (idToken != null)
            {
                var handler = new JwtSecurityTokenHandler();
                var jwtToken = handler.ReadToken(idToken.Value) as JwtSecurityToken;
                if (jwtToken != null)
                {
                    var idpClaim = jwtToken.Claims.FirstOrDefault(c => c.Type == "idp");
                    if (idpClaim != null)
                    {
                        return idpClaim.Value;
                    }
                }
            }

        return "Unknown";
    }

}