Thread: what are the sylow 2-subgroups of S5?

what are the sylow 2-subgroups of S5?

i know that s2=15,

but i don't really understand how to list them.

i also need to show they are isomorphic to a sylow 2-subgroup of S4 by showing they fix at least one element in {1,2,3,4,5}

i'm lost, please help

Originally Posted by Louise

what are the sylow 2-subgroups of S5?

i know that s2=15,

but i don't really understand how to list them.

i also need to show they are isomorphic to a sylow 2-subgroup of S4 by showing they fix at least one element in {1,2,3,4,5}

i'm lost, please help

...do you recognize this group?

Tonio