Take habit to put the object over the center of the grid on the 3 views ;)
Here it's floating in the free deepth space ;)

Network loves 4 sides surfaces

and sweep loves no deconnected profils

So join some segments between them and that will be good ;)

This would be a good case for a skinning tool of some type that would form a surface from multiple edges...

But it may be wise to break this shape down into manageable sections where you only have four sides to work from.
Tangent surface edges might be a problem by doing it this way, but there may be workarounds.

Hi Sirius - you've basically got too many things trying to happen all simultaneously to make a good surface out of that.

You've got a 5-sided boundary, you've got a lower piece that kind of protrudes suddenly, and on top of that you have some sharp corners in the middle of some shapes. Each of these things adds a kind of complexity to the layout.

You're generally better off trying to build a single surface with sweep or network out of a single smooth piece rather than trying to force so many different kinds of variations into a single surface creation command.

When you have something like a piece that kind of suddenly protrudes from another one, it's generally better to build that as a separate object and then fillet them together.

Otherwise to actually build a network or sweep directly would require adding in some more in between curves along the lines of what Mike is showing above - another possibility is attached here.

But I'd probably try more to build it more as separate pieces and either fillet or blend them together rather than trying to build that whole thing in one sweep.

- Michael

Hello,
I had already suspects.
Thank you for the detailed answers

Bye
Sirius