log4j2 xml configuration - Log to file and console (with different levels)

Question

I want to do two things:

1. Log to console with a certain log-level
2. Log to file with another log-level

Console logging seems to work just fine but the log file keeps beeing empty.

This is my log4j2.xml

<?xml version="1.0" encoding="UTF-8"?>
<configuration status="WARN">
  <appenders>
    <Console name="Console" target="SYSTEM_OUT">
      <PatternLayout pattern="%d{HH:mm:ss.SSS} [%t] %-5level %logger{36} - %msg%n"/>
    </Console>

    <File name="MyFile" fileName="logs/app.log" immediateFlush="true">
        <PatternLayout pattern="%d{yyy-MM-dd HH:mm:ss.SSS} [%t] %-5level %logger{36} - %msg%n"/>
    </File>  

  </appenders>
  <loggers>

    <logger name="filelogger" level="error">
        <appender-ref ref="MyFile"/>
    </logger>

    <root level="info">
      <appender-ref ref="Console"/>
    </root>
  </loggers>
</configuration>

What might be wrong?

Answer 1

I figured it out! The <Logger> tag shouldn't be used in this case, see Gaurang Patel's answer for details.

<?xml version="1.0" encoding="UTF-8"?>
<configuration status="WARN">
  <appenders>
    <Console name="Console" target="SYSTEM_OUT">
      <PatternLayout pattern="%d{HH:mm:ss.SSS} [%t] %-5level %logger{36} - %msg%n"/>
    </Console>

    <File name="MyFile" fileName="logs/app.log">
        <PatternLayout pattern="%d{yyyy-mm-dd HH:mm:ss.SSS} [%t] %-5level %logger{36} - %msg%n"/>
    </File>             
  </appenders>

  <loggers>     
    <root level="debug">
      <appender-ref ref="Console" level="info"/>
      <appender-ref ref="MyFile" level="error"/>
    </root>    
  </loggers>
</configuration>