Q: messaging

Try turning Group Messaging to On in Settings>Messages.

My iphone 5 does not have group message in settings/message

.

It might not be supported by your carrier.  This is AT&T:

I can send group messages but I have to do what it says in http://support.apple.com/kb/HT5760

But can you send group messages to non-iMessage users?  According to the article you linked, group messages to non-iMessage users are sent as MMS, which must be enabled by this setting.

Yes MMS is turned ON and yes I can send group messages.  I am not sure whether the recipients have imessage or not

I meant the "Group Messaging" must be set to On in order for group messages to be sent to non-iMessage users, not that MMS must be turned on.  Read the article you linked under "Group Messaging on iPhone", which says, in part:

"Group messages will be sent using iMessage if all recipients have iMessage enabled. If not, the conversation will be sent as MMS. Group messages use MMS even if the content is text only.

You can disable Group Messaging in Settings > Messages.

The Group Messaging setting applies only to MMS messages."

It really isn't important,  I do not have a problem with sending and receiving group messages.  All I wanted to add was that my phone did not have the GROUP MESSAGING ON/OFF switch

No problem.