Generate grouping variable based on various nominal variables

Dear community,

I'm working with household data containing various nominal or ordinal variables such as household type, income group, or location (see data example below)
I now want to put these households together in different groups, resulting in one group per possible combination of variable levels.
Is there a way to do this automatically without having to use various loops which would be tedious?

Thanks a lot,

Mattis

Code:

* Example generated by -dataex-. To install: ssc install dataex
clear
input double(hhtyp2 hheink_gr1 RegioStaR7 bus28)
 3 11 77  3
 2 14 73  3
 2 10 77  3
 1  5 77 95
 3  4 73  3
 3  5 71  2
 3  9 72 95
 4  7 71  3
 4  5 77  3
 4  7 74  1
 4  6 72  1
 3  9 72  3
 2  4 72  1
 3  5 76  3
 2  7 72  1
 2  9 73  3
 3  7 75  1
 4  5 74  3
 3  5 76  1
95  5 76 95
 3  3 73  1
 2  7 76 95
 3  3 76 95
 2  9 74  5
 2  5 71 95
 3  5 77  2
 3  9 73  1
 2  7 77 95
 3  6 74  3
 3  7 72  2
 2  7 73 95
 3  6 72  1
 3  6 77  2
 4  4 71  1
 3  8 73  1
 2  9 76 95
 3  9 73  1
 3  7 71 95
 3 11 73  1
 4  5 73  2
 3  6 73  4
 3  7 73  1
 4  9 76  3
 3 13 71 95
 3  5 77  1
 3  3 76 95
 3  4 77  6
 3  7 76  1
 3 11 77 95
 4  4 72  2
 4  7 72 95
 4  4 72  1
 3 15 76  3
 2 11 74 95
 4  5 73  2
 3  5 77  4
 4  4 73  2
 4  5 77 95
 4  4 77  4
 2  5 76  1
 2  9 73  1
 4  5 73  1
 2  8 73 95
 4  8 73  1
 4  3 71  2
 4  4 77  2
 3 15 72  2
 3  3 77 95
 4  5 73 95
 2 11 73  1
 3 11 73 95
 3  9 77  5
 3  6 73 95
end