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G has 96 classes of altogether 11300 subgroups.
********* S_3
[sizes:2*3,2*3,3]
size=3size=3
Subgroup generated by 4 random elements...
[sizes:2*3,2*3,3]
size=3size=3
********* S_3wrS_4
[sizes:2^7*3^5,2^7*3^5,3^5]
size=3^5size=3^5
Subgroup generated by 4 random elements...
[sizes:2^7*3^5,2^7*3^5,3^5]
size=3^5size=3^5
********* S_4wrS_4
[sizes:2^15*3^5,2^15*3^5,3^5]
size=3^5size=3^5
Subgroup generated by 4 random elements...
[sizes:2^14*3^5,2^14*3^5,3^5]
size=3^5size=3^5
exit 0