Let G = z3⊕z3⊕z3 and H be the subgroup of SL (3, z3) consisting of H = \(\rm \left\{\left[\begin{array}{lll} 1 & a & b \\ 0 & 1 & c \\ 0 & 0 & 1 \end{array}\right] \mid a, b, c \in z_3\right\}\)
1
All non-identity elements of have order 3.
2
All non-identity elements of have order 3.
3
G = H
4
G ≠ H