# Nonabelian group of order 12

• Nov 18th 2008, 07:40 PM
aliceinwonderland
Nonabelian group of order 12
[Hungerford, p99 Q5]

Show that there is a nonabelian subgroup T of $S_3 \times Z_4$ of order 12 generated by elements a,b such that $|a|=6, a^{3}=b^{2},ba=a^{-1}b$.