tegra97

03-31-2007, 10:10 PM

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

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