I think the following are some creative Mahjong group names:
1. Mahjong Storm
2. Sparrow God Struggle
3 . Card Table Hero
4. Mahjong Romance
5. Happy Mahjong Shop
6. Sparrow Dances in the Nine Heavens
7. Wisdom Sparrow Forum
8. Mahjong Dream Factory
9. Sparrow Shadows
10. Happy Sparrow Nest