# iisomorphic

• Jul 27th 2010, 05:36 AM
rtrt1
iisomorphic
I have an example of 2sylow subgroup of S6.
I want to prove that this subgroup isomorphous to Z2XD4
• Jul 27th 2010, 05:57 AM
tonio
Quote:

Originally Posted by rtrt1
I have an example of 2sylow subgroup of S6.
I want to prove that this subgroup isomorphous to Z2XD4

The Sylow 2-sbgps. of $S_4$ are easily seen to be isomorphic with $D_4$ ; if now you observe that in $S_6$ you have two numbers more as part of the permutations that don't appear in $S_4$ then you're easily done.

Tonio