# Thread:

1. ## iisomorphic

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

2. 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
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