It is indeed an hexagon. Not a regular one. But yet not "just an hexagon" as many seem to say.
That hexagon has some specificity. Each pair of sides are parallel. Which gives the hexagon the shape of a projected cuboid (if you take a photo of a cuboid, and outline only the shape of the image, you get your shape)
That has a name. And even two.
Shapes made of an even number of sides, parallel 2 by 2, are called parallelogon.
So your shape is precisely a HEXAGONAL PARALLELOGON
(which is a specific sort of hexagon)
An hexagonal parallelogon is to an hexagon what a parallelogram is to quadrilateral : not just a quadrilateral (a specific sort of them, whose sides are parallel), but not a regular (square) one neither.
Another name of it is ELONGATED PARALLELOGRAM.
(because you can imagine it as a parallelogram whose two upper sides have been separated from the two lower sides)
And among the elongated parallelogram, it is even more specific, since (if I see it correctly, 4 of the sides have the same length), it is an ELONGATED RHOMBUS.
(Again, because you can imagine it as a rhombus, made of the 2 upper and lower sides. That have been elongated, with the two lateral sides filling the separation you have made).
Last thing: a property of your shape (and of parallelogons) that "just an hexagon" woudn't have, is that you can use it as a tile to cover the plane (without any rotation). It could be the shape of the tile of your bathroom ("just an hexagon" couln't). Like in the attached image.
tl;dr: the more specific name for it is "elongated rhombus". Which is a sort of "elongated parallelogram". Which is a sort of "hexagonal parallelogon". Which is both a sort of "parallelogon" and of "hexagon".
So, it is an hexagon, and more precisely and elongated rhombus. Not a regular hexagon, indeed. But not "just any hexagon" neither.