Dear all,
The following is beyond my GAP expertise. I appreciate very much if you can
help me.
Let g:=M_{10}=A_6 . 2_3 - this is the stabilizer of a point in M_{11}. First I
want to check whether g is isomorphic to a subgroup of GL(2,19). If the answer
is yes, then list the structures of all groups G such that G/(C_{19} * C_{19})
= g where g acts naturally on C_{19} * C_{19}. Here C_{19} is the cyclic group
of order 19.
For such a group G and a prime p dividing |G|, list the number of p-regular
conjugacy classes of G (a class is p-regular if its element order is not
divisible by p).
Thank you very much,
Hung.
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