Washington, DC  20549

Schedule 13G

Under the Securities Exchange Act of 1934
(Amendment No. )

                    Alexion Pharmaceuticals Inc.
(Name of Issuer)

(Title of Class of Securities)

(CUSIP Number)

*The remainder of this cover page shall be filled out for a
reporting person's initial filing on this form with respect to the
subject class of securities, and for any subsequent amendment
containing information which would alter the disclosures
provided in a prior cover page.

The information required in the remainder of this cover page
shall not be deemed to be "filed" for the purpose of Section 18
of the Securities Exchange Act of 1934 ("Act") or otherwise
subject to the liabilities of that section of the Act but shall be
subject to all other provisions of the Act (however, see the

                 Page 1 of 5 Pages

(Continued on following page(s))
Page 2 of 5 Pages

CUSIP NO. 15351109

1.   Name of Reporting Person
     S.S. or I.R.S. Identification No. of Above Person

     Zesiger Capital Group LLC
     Tax Id. No. 13-3813880

2.   Check the Appropriate Box if a Member of a Group*


3.   SEC Use Only

4.   Citizenship or Place of Organization

     New York, New York

Number              5.   Sole Voting Power              821,000
Shares              6.   Shared Voting Power                N/A
Owned by Each       7.   Sole Dispositive Power         821,000
Person With         8.   Shared Dispositve Power            N/A

9.   Aggregate Amount Beneficially Owned by Each Reporting Person


10.  Check Box if the Aggregate Amount in Row (9) Excludes Certain Shares*
11.  Percent of Class Represented by Amount in Row (9)

12.  Type of Reporting Person*
     Investment Adviser (IA)

                         Page 3 of 5 Pages

Item 1.

     (a)  Name of Issuer:

              Alexion Pharmaceuticals Inc.

     (b)  Address of Issuer's Principal Executive Office:

              25 Science Park, Suite 360
              New Haven, CT 06511                

Item 2.   (a), (b) and (c) Name of Persons Filing, Address of Principal
          Business Office and Citizenship:

          Zesiger Capital Group LLC
          320 Park Avenue, 30th Floor
          New York, New York  10022

          New York

     (d)  Title of Class of Securities:

               Common Stock

     (e)  CUSIP number:


Item 3.   If this statement is filed pursuant to Rule 13d-1(b), or 13d-2(b),
          check whether the person filing is a(n):

           X   Investment Advisor registered under section 203 of the
               Investment Advisors Act of 1940

                        Page 4 of 5 Pages

Item 4.   Ownership
          If the person of the class owned, as of December 31 of the year 
          covered by this statement, or as of the last day of the month  
          described in Rule 13d-1 (b) (2), if applicable, exceeds five
          percent, provide the following information as of that date and
          identify those shares which there is a right to acquire.

          (a)  Amount Beneficially Owned

          (b)  Percent of Class 

          (c)  Number of shares as to which such person has:

               (i)  sole power to vote or to direct the vote


               (ii) shared power to vote or to direct the vote


               (iii)sole power to dispose or to direct the disposition


               (iv) shared power to dispose or to direct the disposition of


                Zesiger Capital Group ("ZCG") hereby disclaims beneficial
                ownership of all the above securities.  Such securities are
                held in discretionary accounts which ZCG manages.

Item 5.   Ownership of Five Percent or Less of a Class.

Item 6.   Ownership of More than Five Percent on Behalf of Another Person

           Clients for whom Zesiger Capital Group LLC acts as an investment
           adviser may withdraw dividends or the proceeds of sales from the
           accounts managed by Zesiger Capital Group LLC.  No single client
           account owns more than 5% of the class of securities.

                    Page 5 of 5 Pages

Item 7.   Identification and Classification of the Subsidiary Which Acquired the
          Security Being Reported on By the Parent Holding Company              


Item 8.   Identification and Classification of Members of the Group


Item 9.   Notice of Dissolution of Group


Item 10.  Certification.

          By signing below I certify that, to the best of my knowledge and
          belief, the securities referred to above were acquired in the ordinary
          course of business and were not acquired for the purpose of and do
          not have the effect of changing or influencing the control of the
          issuer of such securities and were not acquired in connection with or
          as a participant in any transaction having such purpose or effect.


     After reasonable inquiry and to the best of my knowledge and belief, I
     certify that the information set forth in this statement is true,
     complete and correct.

                              January 13, 1999    

                              /s/ Barrie R. Zesiger                       
                              Principal - Administration