Gripping group for at least one tool comprising at least one magnetizable material, said tool being configured to be supported by at least one projecting shaft of one storage and having one respective gripping face, directed toward one free end of said at least one projecting shaft, the gripping face delimiting at least one plurality of regions (211, 212, 203, 214), the gripping group comprising: - at least one gripping head including: - at least one support element, having a first face configured to be directed toward said gripping face of said tool; - at least two electromagnets (42; 421, 422, 423, 424, 425), supported by said at least one support element, at said first face thereof, and placed thereon in such a way as to delimit at least one gripping plane at exposed ends thereof configured to generate one respective magnetic field, wherein when said at least one gripping plane is directed toward the gripping face of said tool each one of the least two electromagnets (42; 421, 422, 423, 424, 425) is configured to be placed at one respective region of said plurality of regions (211, 212, 203, 214) of said gripping face of said tool and to generate said respective magnetic field toward the respective region of said gripping face of said tool; - at least one data control and processing unit operatively connected to said at least two electromagnets (42; 421, 422, 423, 424, 425); characterized in that said at least one data control and processing unit is configured to selectively activate said at least two electromagnets (42; 421, 422, 423, 424, 425) by sending respective magnetization signals, in response to which said at least two electromagnets (42; 421, 422, 423, 424, 425) are configured to generate said respective magnetic fields independently from one another. - at least one gripping head including: - at least one support element, having a first face configured to be directed toward said gripping face of said tool; - at least two electromagnets (42; 421, 422, 423, 424, 425), supported by said at least one support element, at said first face thereof, and placed thereon in such a way as to delimit at least one gripping plane at exposed ends thereof configured to generate one respective magnetic field, wherein when said at least one gripping plane is directed toward the gripping face of said tool each one of the least two electromagnets (42; 421, 422, 423, 424, 425) is configured to be placed at one respective region of said plurality of regions (211, 212, 203, 214) of said gripping face of said tool and to generate said respective magnetic field toward the respective region of said gripping face of said tool; - at least one support element, having a first face configured to be directed toward said gripping face of said tool; - at least two electromagnets (42; 421, 422, 423, 424, 425), supported by said at least one support element, at said first face thereof, and placed thereon in such a way as to delimit at least one gripping plane at exposed ends thereof configured to generate one respective magnetic field, wherein when said at least one gripping plane is directed toward the gripping face of said tool each one of the least two electromagnets (42; 421, 422, 423, 424, 425) is configured to be placed at one respective region of said plurality of regions (211, 212, 203, 214) of said gripping face of said tool and to generate said respective magnetic field toward the respective region of said gripping face of said tool; - at least one data control and processing unit operatively connected to said at least two electromagnets (42; 421, 422, 423, 424, 425);