=======================================================================

Design parameters are 2-(6,3,6), b=30

Blocks of the design are:
012 012 012 013 013 013 024 024 024 035 035 035 045 045 045 125 125 125 134 134 134 145 145 145 234
234 234 235 235 235
The design is not simple, with support 10

=======================================================================

Auto’m group order is 60

All non-isomorphic minimal defining sets are:

012 012 012 013 013 013 024 024 024
Size=9 |Aut|=2

=======================================================================

Size Count
—- —–
9 1

Only 1 (non-isomorphic) minimal defining set
Totally 30 (inequivalent) minimal defining sets

=======================================================================