From: lie.teller on
I need a help to find the smallest group(s) G with the following
properties:

a) G is of odd order;
b) G is supersoluble;
and
c) the mean order of a conjugacy class in G is greater than 6.82.

Thank you.
From: Arturo Magidin on
On Jul 4, 11:15 am, "lie.teller" <lietel...(a)ymail.com> wrote:
> I need a help to find the smallest group(s) G with the following
> properties:
>
> a) G is of odd order;
> b) G is supersoluble;
> and
> c) the mean order of a conjugacy class in G is greater than 6.82.
>
> Thank you.

Sounds like a job for GAP.

--
Arturo Magidin