How many and which distinct groups of order 20 that are not isomorphic? Why are they not isomorphic? I have the $Z_{20}, Z_2+Z_{10}, D_{10}$.
There are more than 4. I don't know the limit.
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2There are more than 4. – newyorkwedge Nov 29 '13 at 06:22
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There are exactly $5$ non-isomorphic groups of order $20$. If you are aware of semi-direct products, look at SnowAngel6147's answer in the link Dan provided. If you know about presentations, the remaining two can also be found here and here. – NotAwake Nov 29 '13 at 06:38