The Outer automorphism group of the Suzuki simple group  2B_2 (2^(2m+1)), m>=1 is cyclic of order 2m+1  and is  generated by a field automorphism ϕ of order 2m+1.  For any almost simple group  S≤H≤Aut(s) with  S=^2B_2 (2^(2m+1)), the group H/S is cyclic.  Due  to this, I want to know
	1) The action of ϕ on the conjugacy classes of the group S , and so 
	2) the set of complex character degrees of the group H? 
Thanks for your help