Distinguishing features of nonisomorphic groups of order 24.

[tegra97]

The question is find 10 nonisomorphic groups of order 24. Give some distinguishing features of each.

So I have found all the groups
Z_24
Z_2 X Z_12
Z_2 X Z_2 X Z_6
S_4
S_3 X S_4
S_3 X Z_2 X Z_2
D_4 X Z_3
Q X Z_3
A_4 X Z_2
T X Z_2
What would be some distinguishing features besides abelian and non-abelian.
Also for all the groups above could I also say Z_2 (+) Z_12. (+) is external direct product. Thanks