The multiplication tables of small groups

Almost all small groups (of order at most 15) can be constructed out of the following examples: the cyclic groups Z/nZ (denoted by "Cn"), the dihedral groups D_n (denoted by "Dn"), the alternating groups A_n (denoted by "An") and the symmetric groups S_n (denoted by "Sn"). Try to find the multiplication tables of all groups of order at most 15 using these groups and the direct product construction.

Can you identify the group below?