Merging two contact groups in iphone


I have an iphone 6 (IOS8.3). I have discovered that I have 2 groups setup under my iphone contact. ie if I tap Contact; tap Groups, I see 2 contact-groups:
1. My Contacts and
2. ICLOUD (All iCloud)

There are contact entries that I have created under the "My Contact" group that do not exist in the "All iCloud" group. How do I merge the two groups? or how do I easily move contacts from "My Contact" group to "All iCloud" group?