First of all, thank you very much for taking the time to help me. I didn't make it clear. E.g:
Group A----Member{1,2,3,4}
GroupB------Memeber{3,4,5,6}
GroupC-----Member{1,2,3,8}
GroupD-----Member{6,9,10}
GroupE-----Member{6,9,10,11,12,14}
GroupF-----Member{6,9,13,15,16}
GroupG-----Member{3,4,11,13,15,16}
First iteration:
now Group A----Member{1,2,3,4}
now GroupB----Member{3,4,5,6}
now GroupC-----Member{1,2,3,8}
now GroupD----Member{6,9,10}
now GroupE-----Member{6,9,10,11,12,14}
now GroupF-----Member{6,9,13,15,16}
now GroupG-----Member{3,4,11,13,15,16}
now GroupA1----Member{1,2,3,4,8}
now GroupD1----Member{6,9,10,11,12,14}
now GroupF1-----Member{3,4,6,9,11,13,15,16}
Second iteration:
now Group A----Member{1,2,3,4}
now GroupB----Member{3,4,5,6}
now GroupC-----Member{1,2,3,8}
now GroupD----Member{6,9,10}
now GroupE-----Member{6,9,10,11,12,14}
now GroupF-----Member{6,9,13,15,16}
now GroupG-----Member{3,4,11,13,15,16}
now GroupA2----Member{1,2,3,4,8}
now GroupD2-----Member{3,4,6,9,10,11,12,13,14,15,16}
Third iteration:
now Group A----Member{1,2,3,4}
now GroupB----Member{3,4,5,6}
now GroupC-----Member{1,2,3,8}
now GroupD----Member{6,9,10}
now GroupE-----Member{6,9,10,11,12,14}
now GroupF-----Member{6,9,13,15,16}
now GroupG-----Member{3,4,11,13,15,16}
now GroupA3----Member{1,2,3,4,8}
now GroupD3-----Member{3,4,5,6,9,10,11,12,13,14,15,16}
Result: The original groups are still there, and we also marked the newly divided groups. In other words, A, C make up A3, B, D, E, F, G make up D3.
Thank you very much!