1 In this question \(G\) is a group of order \(n\), where \(3 \leqslant n < 8\).
- In each case, write down the smallest possible value of \(n\) :
(a) if \(G\) is cyclic,
(b) if \(G\) has a proper subgroup of order 3,
(c) if \(G\) has at least two elements of order 2 . - Another group has the same order as \(G\), but is not isomorphic to \(G\). Write down the possible value(s) of \(n\).