java.util.regex.Pattern p = Pattern.compile("/\"(.*?)(?:<[^>]+>)<([^>]*)><([^>]*)>\"/g");
            String value = "log L 02/15/2008 - 18:50:28: \"NaNg<23><1133><STEAM_0:0:11232133><TERRORIST><1133><STEAM_0:0:4132413><TERRORIST>\" disconnected";
            Matcher m = p.matcher(value);
            System.out.println(m.groupCount());
            
            for (int i = 0; i <= 4; i++) {
                try {
                    
                    System.out.println(m.group(i));
                }
                catch (Exception exp) {
                    System.out.println(exp.toString());
                }
            }

output:

3
java.lang.IllegalStateException: No match found
java.lang.IllegalStateException: No match found
java.lang.IllegalStateException: No match found
java.lang.IllegalStateException: No match found
java.lang.IllegalStateException: No match found