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Design parameters are 2-(7,3,4), b=28

Blocks of the design are:
012 012 012 012 034 034 034 034 056 056 056 056 135 135 135 135 146 146 146 146 236 236 236 236 245
245 245 245
The design is not simple, with support 7

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Auto’m group order is 168

All non-isomorphic minimal defining sets are:

012 012 012 012 034 034 034 034 135 135 135 135
Size=12 |Aut|=6

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Size Count
—- —–
12 1

Only 1 (non-isomorphic) minimal defining set
Totally 28 (inequivalent) minimal defining sets

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