TestNG beforeGroups is not getting executed

I have a problem with testNG @beforeGroups annotations. I tried to create a simple example to check the order in which the annotations are executed. My problem is that I cannot get beforeGroups (and afterGroups) to occur.

My code:

OrderTest.java

import org.testng.annotations.AfterClass;
import org.testng.annotations.AfterGroups;
import org.testng.annotations.AfterMethod;
import org.testng.annotations.AfterSuite;
import org.testng.annotations.AfterTest;
import org.testng.annotations.BeforeClass;
import org.testng.annotations.BeforeGroups;
import org.testng.annotations.BeforeMethod;
import org.testng.annotations.BeforeSuite;
import org.testng.annotations.BeforeTest;
import org.testng.annotations.Test;

public class OrderTest {
@BeforeSuite
public void beforeSuite() {
    System.out.println("1. Before Suite");
}

@BeforeTest
public void beforeTest() {
    System.out.println("2. Before Test");
}

@BeforeGroups(groups = "group1") 
public void beforeGroups1() {
    System.out.println("3. Before Groups");
}

@BeforeClass
public void beforeClass() {
    System.out.println("4. Before Class");
}

@BeforeMethod
public void beforeMethod() {
    System.out.println("5. Before Method");
}

@Test(groups= "group1") 
public void test1() {
    System.out.println("Test 1");
}

@Test(groups = {"group2"})
public void test2() {
    System.out.println("Test 2");
}

@Test
public void test3() {
    System.out.println("Test 3");
}

@Test
public void test4() {
    System.out.println("Test 4");
}

@Test
public void test5() {
    System.out.println("Test 5");
}

@AfterMethod
public void afterMethod() {
    System.out.println("7. After Method");
}

@AfterClass
public void afterClass() {
    System.out.println("8. After Class");
}

@AfterGroups(groups="Group1")
public void afterGroups1() {
    System.out.println("9. After Groups1");
}

@AfterTest
public void afterTest() {
    System.out.println("10. After Test");
}

@AfterSuite
public void afterSuite() {
    System.out.println("11. afterSuite");
}
}

testng.xml

<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE suite SYSTEM "https://testng.org/testng-1.0.dtd">
<suite name="Suite">
 <test thread-count="5" name="Test">
   <classes>
     <class name="package.OrderTest"/>
   </classes>
 </test> <!-- Test -->
</suite> <!-- Suite -->

Results I'm getting

[RemoteTestNG] detected TestNG version 7.3.0
1. Before Suite
2. Before Test
4. Before Class
5. Before Method
Test 1
7. After Method
5. Before Method
Test 2
7. After Method
5. Before Method
Test 3
7. After Method
5. Before Method
Test 4
7. After Method
5. Before Method
Test 5
7. After Method
8. After Class
10. After Test
11. afterSuite

My question is, is there an way to make beforeGroups to happen?