Identify the isomorphism class of the group (Z/15Z)∗(\mathbb{Z}/15\mathbb{Z})^*(Z/15Z)∗.
C2×C4C_2 \times C_4C2×C4
C8C_8C8
C2×C2×C2C_2 \times C_2 \times C_2C2×C2×C2
C4×C4C_4 \times C_4C4×C4