Radio button problem

[David <dbree duo-county com>]

In experimenting with radio buttons, this simple program displays my
confusion..  From the documentation, I'd think it should work.

I originally did something along this line:
button1 = gtk_radio_button_new... as below)
then button{2,3} =
  gtk_radio_button_new_..._from_widget(gtk_radio_button_get_group(button1)

and it worked, but I thought this method would be simpler to read.

What am I doing wrong?  Note that button3 _is_ in the correct group, but
button2 is wrong...  I tried a .._set_group before the initial
.._get_group, (I saw this in a glade output), but this didn't work
either).

Out of curiosity, I tried it with 4 buttons.  buttons 1 & 4 were in the
same group but buttons 2 and three were each in different groups.
Strange (to me).

---------------------- cut ---------------------
#include <gtk/gtk.h>

int main (int argc,char **argv)
{
    GtkWidget *window, *box;
    GtkWidget *button1, *button2, *button3;
    GSList *group = NULL;

    gtk_init(&argc,&argv);
    window = gtk_window_new(GTK_WINDOW_TOPLEVEL);
    box = gtk_vbox_new(TRUE,5);
    gtk_container_add(GTK_CONTAINER(window),box);

    button1 = gtk_radio_button_new_with_label(NULL, "Button1");
    gtk_box_pack_start( GTK_BOX(box),button1,FALSE,FALSE,2);
    group = gtk_radio_button_get_group(GTK_RADIO_BUTTON(button1));

    g_print("%d group\n",(int)group);
    
    button2 = gtk_radio_button_new_with_label( group,
                                               "Button2");
    button3 = gtk_radio_button_new_with_label( group,
                                               "Button3");

    gtk_box_pack_start(GTK_BOX(box),button2,FALSE,FALSE,2);
    gtk_box_pack_start(GTK_BOX(box),button3,FALSE,FALSE,2);

    g_print("%d button1\n", 
            gtk_radio_button_get_group(GTK_RADIO_BUTTON(button1)));
    g_print("%d button2\n", 
            gtk_radio_button_get_group(GTK_RADIO_BUTTON(button2)));
    g_print("%d button3\n", 
            gtk_radio_button_get_group(GTK_RADIO_BUTTON(button3)));

    gtk_widget_show_all(window);
    gtk_main();
}

---------------------- cut ---------------------

and here's the output I get:

134574448 group (from right after initializing button1)
134574456 button1
134574544 button2
134574456 button3